The great chain of being Term Paper Example | Topics and Well Written Essays - 1500 words

The great chain of being - Term Paper Example The hierarchical links defined all the aspects of the community including religion, politics and social scopes. Although there was great resistance to change and the kings fought against distortion the great chain, change was encroaching into this kingdom. The government developed policies that allowed distortion of these systems leading to change in the political, social and religious structures. By the end of the 18th century, it is clear that the change had taken place and the great chain was considerably broken. In this light, the various efforts dedicated to maintain balance failed, paving way for new government structures. In the Tudor dynasty, the great chain of being was a universal hierarchy that was both independent and interdependent. The top of the chain was God, who the people believe to have the greatest power over them and worshipped Him. The spirits and Angels followed in this hierarchy. Among human beings, there were divisions between various categories of people. They were categorized as gentlemen, the citizens and Burgesses, the Yeomen, and the laborers in the order of decreasing power (Bucholz and Key 4-5). As you trespass down the chain, the level of power reduced and the people become more subject to others. This hierarchy also defined the way they passed over power from one generation to the next. For instance, King left their power to their successors while Knights were appointees. The belief that prevailed is that this order was universal and there was no way that it would change. The kings maintained a centralized government structure by vesting all the power on the governance. A c hange of this structure was tantamount to sin and it would lead to imbalance of the hierarchy. With this kind of belief, the system remained fixed and the kings had the responsibility to defend this order and maintain the balance of the chain. The Kings fought against any changes in the formal government

Mobile phone and Landline phone Essay Example for Free

Mobile phone and Landline phone Essay Phones are important because we rely on them to communicate with other people. Despite the cell phone cannot give you a clear, crystal clear connection as a landline phone. Landline phone is a device which we connect to the output of our homes and businesses. On the other hand, cell phones and mobile have the capacity and advanced technology. While they both perform the same basic function, there are significant differences between landline and mobile phones. There are many differences between landline and mobile phones. Convinces of having a cell phone is that you can have it on hand where ever you go. As for a landline you cannot take it with you. Cell phone have a GPS technology that can find your exact location or where you trying to go. Cell phone also can give you the chance to take live pictures or video camera whereas landline cannot. Cell phone has great features such as watch TV, MP3 players, can store all our contact information, keep track of our appointments, and important dates. The most important advantage of landlines for cell phones that 9-1-1 operators can better determine your location in an emergency. When you call 9-1-1 from a landline phone, the operator can find the exact address where the call originated. When you call 9-1-1 from a cell phone, on the other hand, the operator only receives information about your approximate latitude and longitude, which can be from 50 to 300 yards. If you are in an emergency and cannot speak to give 9-1-1 operator your location, have stationary can save your life. The similarity of landline and cell phone is the fact that they are both used for communication. One quality of the technology they are good for emergencies, for example, if you just need to call a friend or family, as the technology can do this. Both are good and reliable person depends on your needs. In conclusion, we know that cell phones are more comfortable and fashionable than landline. Phones have improved over the year; we have gone from the house phone to cell phones. Cell phones and home phones are similar in a couple of ways, but very different in many ways. Nowadays we see people on the streets with their cell phones, as many people know that its easier and cheaper

Essay --

According to sufferer, Stephanie, â€Å"If I got to number 17 on the math test, I would have to tap my pencil 17 times† (Weiskopf 19). Stephanie exhibits signs of Obsessive-Compulsive Disorder. Obsessive-Compulsive Disorder (OCD) is a disorder in which the individual becomes obsessed or compulsive about something. Because of their extreme focus events and tasks, OCD will affect how children and teenagers perform in school. Obsessive-Compulsive Disorder can also cause various problems in their daily lives. Due to severe obsessions and compulsions, Obsessive-Compulsive Disorder is a serious, yet unexamined, threat to teenagers at school and home, which can lead to further complications, but it can be treated. Obsessive-Compulsive Disorder is provoked not only by environmental factors, but also by genetic components. OCD can be traced through family history, but there is not a direct factor that is shown to be passed on. If a family member is diagnosed with OCD, there becomes an increased risk for other immediate relatives of inheriting the condition. According to OCD Education Station, â€Å"genetics contributes approximately 45-65% of risk for developing the disorder,† but â€Å"other factors such as the environment also play a vital role† (â€Å"Facts†). Sometimes there can be a sudden outbreak of the disorder rather than a genetic component. When there is a sudden occurrence of OCD, the provocation of the disorder can be linked to strep throat or a mental, physical, or behavioral change of the individual. Not only can OCD be linked to genetic components or a sudden onset, but Obsessive-Compulsive Disorder can also be produced by environmental factors. Behavioral, mental, and environmental factors such as stress, a death of someone close, or the fe... ...ssive-Compulsive Disorder is a treatable, but severe, danger to teenagers because of the extreme compulsions and obsessions. This disorder is provoked by multiple factors related to both the environment and genetics. OCD consists of common signs and symptoms present in sufferers with extreme recurring obsessions and compulsions. There are four different types of Obsessive-Compulsive Disorder including checking, contamination, hoarding, and ruminations. OCD is a disorder with symptoms that can be lessened by therapy, interventions, and medications. Obsessive-Compulsive Disorder is treatable, but other disorders can also occur and exist because of the presence of OCD. Although the symptoms and presence of OCD can be reduced, the anxiety and emotions that are related to OCD will stay will the sufferer for their life through other disorders or regular, everyday events.

Cengel Solutions

Chapter 4 Fluid Kinematics Solutions Manual for Fluid Mechanics: Fundamentals and Applications by Cengel & Cimbala CHAPTER 4 FLUID KINEMATICS PROPRIETARY AND CONFIDENTIAL This Manual is the proprietary property of The McGraw-Hill Companies, Inc. (â€Å"McGraw-Hill†) and protected by copyright and other state and federal laws.By opening and using this Manual the user agrees to the following restrictions, and if the recipient does not agree to these restrictions, the Manual should be promptly returned unopened to McGraw-Hill: This Manual is being provided only to authorized professors and instructors for use in preparing for the classes using the affiliated textbook. No other use or distribution of this Manual is permitted. This Manual may not be sold and may not be distributed to or used by any student or other third party.No part of this Manual may be reproduced, displayed or distributed in any form or by any means, electronic or otherwise, without the prior written permission of McGraw-Hill. 4-1 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission. Chapter 4 Fluid Kinematics Introductory Problems 4-1C Solution We are to define and explain kinematics and fluid kinematics. Analysis Kinematics means the study of motion.Fluid kinematics is the study of how fluids flow and how to describe fluid motion. Fluid kinematics deals with describing the motion of fluids without considering (or even understanding) the forces and moments that cause the motion. Discussion Fluid kinematics deals with such things as describing how a fluid particle translates, distorts, and rotates, and how to visualize flow fields. 4-2 Solution We are to write an equation for centerline speed through a nozzle, given that the flow speed increases parabolically. Assumptions 1 The flow is steady. 2 The flow is axisymmetri c. The water is incompressible. Analysis A general equation for a parabola in the x direction is u = a + b ( x ? c) General parabolic equation: 2 (1) We have two boundary conditions, namely at x = 0, u = uentrance and at x = L, u = uexit. By inspection, Eq. 1 is satisfied by setting c = 0, a = uentrance and b = (uexit – uentrance)/L2. Thus, Eq. 1 becomes u = uentrance + Parabolic speed: ( uexit ? uentrance ) L2 x2 (2) Discussion You can verify Eq. 2 by plugging in x = 0 and x = L. 4-3 Solution location. For a given velocity field we are to find out if there is a stagnation point.If so, we are to calculate its Assumptions 1 The flow is steady. 2 The flow is two-dimensional in the x-y plane. Analysis The velocity field is V = ( u , v ) = ( 0. 5 + 1. 2 x ) i + ( ? 2. 0 ? 1. 2 y ) j (1) At a stagnation point, both u and v must equal zero. At any point (x,y) in the flow field, the velocity components u and v are obtained from Eq. 1, Velocity components: u = 0. 5 + 1. 2 x v = ? 2. 0 ? 1. 2 y (2) x = ? 0. 4167 y = ? 1. 667 (3) Setting these to zero yields Stagnation point: 0 = 0. 5 + 1. 2 x 0 = ? 2. 0 ? 1. 2 y So, yes there is a stagnation point; its location is x = -0. 17, y = -1. 67 (to 3 digits). Discussion If the flow were three-dimensional, we would have to set w = 0 as well to determine the location of the stagnation point. In some flow fields there is more than one stagnation point. 4-2 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission. Chapter 4 Fluid Kinematics 4-4 Solution location. For a given velocity field we are to find out if there is a stagnation point.If so, we are to calculate its Assumptions 1 The flow is steady. 2 The flow is two-dimensional in the x-y plane. Analysis The velocity field is ( )( ) V = ( u, v ) = a 2 ? ( b ? cx ) i + ? 2cby + 2c 2 xy j 2 (1) At a stagna tion point, both u and v must equal zero. At any point (x,y) in the flow field, the velocity components u and v are obtained from Eq. 1, Velocity components: u = a 2 ? ( b ? cx ) 2 v = ? 2cby + 2c 2 xy (2) b? a c y=0 (3) Setting these to zero and solving simultaneously yields Stagnation point: 0 = a 2 ? ( b ? cx ) 2 x= v = ? 2cby + 2c xy So, yes there is a stagnation point; its location is x = (b – a)/c, y = 0. Discussion If the flow were three-dimensional, we would have to set w = 0 as well to determine the location of the stagnation point. In some flow fields there is more than one stagnation point. Lagrangian and Eulerian Descriptions 4-5C Solution We are to define the Lagrangian description of fluid motion. Analysis In the Lagrangian description of fluid motion, individual fluid particles (fluid elements composed of a fixed, identifiable mass of fluid) are followed. DiscussionThe Lagrangian method of studying fluid motion is similar to that of studying billiard balls and other solid objects in physics. 4-6C Solution We are to compare the Lagrangian method to the study of systems and control volumes and determine to which of these it is most similar. Analysis The Lagrangian method is more similar to system analysis (i. e. , closed system analysis). In both cases, we follow a mass of fixed identity as it moves in a flow. In a control volume analysis, on the other hand, mass moves into and out of the control volume, and we don’t follow any particular chunk of fluid.Instead we analyze whatever fluid happens to be inside the control volume at the time. Discussion to a point. In fact, the Lagrangian analysis is the same as a system analysis in the limit as the size of the system shrinks 4-3 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission. Chapter 4 Fluid Kinematics 4-7C Sol ution description. We are to define the Eulerian description of fluid motion, and explain how it differs from the LagrangianAnalysis In the Eulerian description of fluid motion, we are concerned with field variables, such as velocity, pressure, temperature, etc. , as functions of space and time within a flow domain or control volume. In contrast to the Lagrangian method, fluid flows into and out of the Eulerian flow domain, and we do not keep track of the motion of particular identifiable fluid particles. Discussion The Eulerian method of studying fluid motion is not as â€Å"natural† as the Lagrangian method since the fundamental conservation laws apply to moving particles, not to fields. -8C Solution We are to determine whether a measurement is Lagrangian or Eulerian. Analysis Since the probe is fixed in space and the fluid flows around it, we are not following individual fluid particles as they move. Instead, we are measuring a field variable at a particular location in sp ace. Thus this is an Eulerian measurement. Discussion If a neutrally buoyant probe were to move with the flow, its results would be Lagrangian measurements – following fluid particles. 4-9C Solution We are to determine whether a measurement is Lagrangian or Eulerian. AnalysisSince the probe moves with the flow and is neutrally buoyant, we are following individual fluid particles as they move through the pump. Thus this is a Lagrangian measurement. Discussion If the probe were instead fixed at one location in the flow, its results would be Eulerian measurements. 4-10C Solution We are to determine whether a measurement is Lagrangian or Eulerian. Analysis Since the weather balloon moves with the air and is neutrally buoyant, we are following individual â€Å"fluid particles† as they move through the atmosphere. Thus this is a Lagrangian measurement.Note that in this case the â€Å"fluid particle† is huge, and can follow gross features of the flow – the ballo on obviously cannot follow small scale turbulent fluctuations in the atmosphere. Discussion When weather monitoring instruments are mounted on the roof of a building, the results are Eulerian measurements. 4-11C Solution We are to determine whether a measurement is Lagrangian or Eulerian. Analysis Relative to the airplane, the probe is fixed and the air flows around it. We are not following individual fluid particles as they move. Instead, we are measuring a field variable at a particular location in space relative to the moving airplane.Thus this is an Eulerian measurement. Discussion The airplane is moving, but it is not moving with the flow. 4-4 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission. Chapter 4 Fluid Kinematics 4-12C Solution We are to compare the Eulerian method to the study of systems and contr ol volumes and determine to which of these it is most similar. Analysis The Eulerian method is more similar to control volume analysis.In both cases, mass moves into and out of the flow domain or control volume, and we don’t follow any particular chunk of fluid. Instead we analyze whatever fluid happens to be inside the control volume at the time. Discussion In fact, the Eulerian analysis is the same as a control volume analysis except that Eulerian analysis is usually applied to infinitesimal volumes and differential equations of fluid flow, whereas control volume analysis usually refers to finite volumes and integral equations of fluid flow. 4-13C Solution flow. We are to define a steady flow field in the Eulerian description, and discuss particle acceleration in such aAnalysis A flow field is defined as steady in the Eulerian frame of reference when properties at any point in the flow field do not change with respect to time. In such a flow field, individual fluid particle s may still experience non-zero acceleration – the answer to the question is yes. Discussion ( a = dV / dt ) Although velocity is not a function of time in a steady flow field, its total derivative with respect to time is not necessarily zero since the acceleration is composed of a local (unsteady) part which is zero and an advective part which is not necessarily zero. 4-14C SolutionWe are to list three alternate names for material derivative. Analysis The material derivative is also called total derivative, particle derivative, Eulerian derivative, Lagrangian derivative, and substantial derivative. â€Å"Total† is appropriate because the material derivative includes both local (unsteady) and convective parts. â€Å"Particle† is appropriate because it stresses that the material derivative is one following fluid particles as they move about in the flow field. â€Å"Eulerian† is appropriate since the material derivative is used to transform from Lagrangian to Eulerian reference frames. Lagrangian† is appropriate since the material derivative is used to transform from Lagrangian to Eulerian reference frames. Finally, â€Å"substantial† is not as clear of a term for the material derivative, and we are not sure of its origin. Discussion All of these names emphasize that we are following a fluid particle as it moves through a flow field. 4-5 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission.Chapter 4 Fluid Kinematics 4-15 Solution We are to calculate the material acceleration for a given velocity field. Assumptions 1 The flow is steady. 2 The flow is incompressible. 3 The flow is two-dimensional in the x-y plane. Analysis The velocity field is V = ( u , v ) = (U 0 + bx ) i ? byj (1) The acceleration field components are obtained from its definition (the material acceleration) in Cartesian coordinates, ? u ?u ?u ?u +u +v +w = 0 + (U 0 + bx ) b + ( ? by ) 0 + 0 ?t ?x ?y ?z ?v ?v ?v ?v ay = + u + v + w = 0 + (U 0 + bx ) 0 + ( ? by )( ? b ) +0 ?t ?x ?y ?z ax = (2) here the unsteady terms are zero since this is a steady flow, and the terms with w are zero since the flow is twodimensional. Eq. 2 simplifies to ax = b (U 0 + bx ) ay = b2 y (3) a = b (U 0 + bx ) i + b 2 yj Material acceleration components: (4) In terms of a vector, Material acceleration vector: Discussion For positive x and b, fluid particles accelerate in the positive x direction. Even though this flow is steady, there is still a non-zero acceleration field. 4-16 Solution particle. For a given pressure and velocity field, we are to calculate the rate of change of pressure following a fluid Assumptions 1 The flow is steady. The flow is incompressible. 3 The flow is two-dimensional in the x-y plane. Analysis The pressure field is P = P0 ? Pressure field: 2U 0 bx + b 2 ( x 2 + y 2 ) ? 2? ? (1) By definition, the material derivative, when applied to pressure, produces the rate of change of pressure following a fluid particle. Using Eq. 1 and the velocity components from the previous problem, DP ? P ?P ?P = +u +v + Dt ?t ?x ?y Steady ( w ?P ?z (2) Two-dimensional ) ( = (U 0 + bx ) ? ?U 0 b ? ? b 2 x + ( ? by ) ? ? b 2 y ) where the unsteady term is zero since this is a steady flow, and the term with w is zero since the flow is two-dimensional.Eq. 2 simplifies to the following rate of change of pressure following a fluid particle: ( ) DP 2 = ? ? ? U 0 b ? 2U 0 b 2 x + b3 y 2 ? x 2 ? ? ? Dt (3) Discussion The material derivative can be applied to any flow property, scalar or vector. Here we apply it to the pressure, a scalar quantity. 4-6 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permi ssion. Chapter 4 Fluid Kinematics 4-17 SolutionFor a given velocity field we are to calculate the acceleration. Assumptions 1 The flow is steady. 2 The flow is two-dimensional in the x-y plane. Analysis The velocity components are Velocity components: u = 1. 1 + 2. 8 x + 0. 65 y v = 0. 98 ? 2. 1x ? 2. 8 y (1) The acceleration field components are obtained from its definition (the material acceleration) in Cartesian coordinates, ? u ?u ?u ?u +u +v +w = 0 + (1. 1 + 2. 8 x + 0. 65 y )( 2. 8 ) + ( 0. 98 ? 2. 1x ? 2. 8 y )( 0. 65 ) + 0 ? t ?x ?y ?z ?v ?v ?v ?v + u + v + w = 0 + (1. 1 + 2. 8 x + 0. 65 y )( ? 2. 1) + ( 0. 98 ? 2. 1x ? 2. 8 y )( ? 2. ) +0 ay = ?t ?x ?y ?z ax = (2) where the unsteady terms are zero since this is a steady flow, and the terms with w are zero since the flow is twodimensional. Eq. 2 simplifies to Acceleration components: ax = 3. 717 + 6. 475 x a y = ? 5. 054 + 6. 475 y (3) At the point (x,y) = (-2,3), the acceleration components of Eq. 3 are Acceleration compone nts at (-2,3): ax = ? 9. 233 ? -9. 23 a y = 14. 371 ? 14. 4 Discussion The final answers are given to three significant digits. No units are given in either the problem statement or the answers. We assume that the coefficients have appropriate units. 4-18 SolutionFor a given velocity field we are to calculate the acceleration. Assumptions 1 The flow is steady. 2 The flow is two-dimensional in the x-y plane. Analysis The velocity components are Velocity components: u = 0. 20 + 1. 3 x + 0. 85 y v = ? 0. 50 + 0. 95 x ? 1. 3 y (1) The acceleration field components are obtained from its definition (the material acceleration) in Cartesian coordinates, ? u ?u ?u ?u +u +v +w = 0 + ( 0. 20 + 1. 3 x + 0. 85 y )(1. 3) + ( ? 0. 50 + 0. 95 x ? 1. 3 y )( 0. 85 ) + 0 ? t ?x ?y ?z ?v ?v ?v ?v + u + v + w = 0 + ( 0. 20 + 1. 3 x + 0. 85 y )( 0. 95 ) + ( ? 0. 50 + 0. 95 x ? 1. y )( ? 1. 3 ) +0 ay = ?t ?x ?y ?z ax = (2) where the unsteady terms are zero since this is a steady flow, and the terms with w are zero since the flow is twodimensional. Eq. 2 simplifies to Acceleration components: ax = ? 0. 165 + 2. 4975 x a y = 0. 84 + 2. 4975 y (3) At the point (x,y) = (1,2), the acceleration components of Eq. 3 are Acceleration components at (1,2): ax = 2. 3325 ? 2. 33 a y = 5. 835 ? 5. 84 Discussion The final answers are given to three significant digits. No units are given in either the problem statement or the answers. We assume that the coefficients have appropriate units. -7 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission. Chapter 4 Fluid Kinematics 4-19 Solution We are to generate an expression for the fluid acceleration for a given velocity. Assumptions 1 The flow is steady. 2 The flow is axisymmetric. 3 The water is incompressible. Analysis In Problem 4-2 we found that along the centerline, u = uentranc e + Speed along centerline of nozzle: ( uexit ? uentrance ) x2 (1) ?u ?u ?u ?u +u +v +w ?t ?x y ?z (2) L2 To find the acceleration in the x-direction, we use the material acceleration, ax = Acceleration along centerline of nozzle: The first term in Eq. 2 is zero because the flow is steady. The last two terms are zero because the flow is axisymmetric, which means that along the centerline there can be no v or w velocity component. We substitute Eq. 1 for u to obtain Acceleration along centerline of nozzle: ax = u ( uexit ? uentrance ) 2 ? ( uexit ? uentrance ) ?u ? = ? uentrance + x ? ( 2) x ? ? ?x ? L2 L2 ? (3) or ax = 2uentrance Discussion ( uexit ? uentrance ) L2 x+2 ( uexit ? uentrance )L4 2 x3 (4) Fluid particles are accelerated along the centerline of the nozzle, even though the flow is steady. 4-20 Solution We are to write an equation for centerline speed through a diffuser, given that the flow speed decreases parabolically. Assumptions 1 The flow is steady. 2 The flow is axis ymmetric. Analysis A general equation for a parabola in x is General parabolic equation: u = a + b ( x ? c) 2 (1) We have two boundary conditions, namely at x = 0, u = uentrance and at x = L, u = uexit. By inspection, Eq. 1 is satisfied by setting c = 0, a = uentrance and b = (uexit – uentrance)/L2. Thus, Eq. becomes Parabolic speed: Discussion u = uentrance + ( uexit ? uentrance ) L2 x2 (2) You can verify Eq. 2 by plugging in x = 0 and x = L. 4-8 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission. Chapter 4 Fluid Kinematics 4-21 Solution We are to generate an expression for the fluid acceleration for a given velocity, and then calculate its value at two x locations. Assumptions 1 The flow is steady. 2 The flow is axisymmetric. AnalysisIn the previous problem, we found that along the centerline, u = uent rance + Speed along centerline of diffuser: ( uexit ? uentrance ) 2 L x2 (1) To find the acceleration in the x-direction, we use the material acceleration, Acceleration along centerline of diffuser: ax = ?u ?u ?u ?u +w +u +v ?z ?t ?x ?y (2) The first term in Eq. 2 is zero because the flow is steady. The last two terms are zero because the flow is axisymmetric, which means that along the centerline there can be no v or w velocity component. We substitute Eq. 1 for u to obtain Acceleration along centerline of diffuser: ( uexit ? uentrance ) x 2 ? ( uexit ? entrance ) x ?u ? = ? uentrance + ax = u ? ( 2) ? ?x ? L2 L2 ? ? or ax = 2uentrance ( uexit ? uentrance ) 2 L x+2 ( uexit ? uentrance ) 2 4 L x3 (3) At the given locations, we substitute the given values. At x = 0, Acceleration along centerline of diffuser at x = 0: ax ( x = 0 ) = 0 (4) At x = 1. 0 m, Acceleration along centerline of diffuser at x = 1. 0 m: ax ( x = 1. 0 m ) = 2 ( 30. 0 m/s ) ( ? 25. 0 m/s ) ( ? 25. 0 m/s ) 3 (1. 0 m ) + 2 (1. 0 m ) 2 4 ( 2. 0 m ) ( 2. 0 m ) 2 (5) = -297 m/s 2 Discussion ax is negative implying that fluid particles are decelerated along the centerline of the diffuser, even though the flow is steady.Because of the parabolic nature of the velocity field, the acceleration is zero at the entrance of the diffuser, but its magnitude increases rapidly downstream. 4-9 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission. Chapter 4 Fluid Kinematics Flow Patterns and Flow Visualization 4-22C Solution We are to define streamline and discuss what streamlines indicate. Analysis A streamline is a curve that is everywhere tangent to the instantaneous local velocity vector.It indicates the instantaneous direction of fluid motion throughout the flow field. Discussion If a flow field is steady, streamlines, pathlines, and st reaklines are identical. 4-23 Solution For a given velocity field we are to generate an equation for the streamlines. Assumptions 1 The flow is steady. 2 The flow is two-dimensional in the x-y plane. The steady, two-dimensional velocity field of Problem 4-15 is Analysis V = ( u , v ) = (U 0 + bx ) i ? byj Velocity field: (1) For two-dimensional flow in the x-y plane, streamlines are given by Streamlines in the x-y plane: dy ? v = dx ? along a streamline u (2) We substitute the u and v components of Eq. 1 into Eq. 2 and rearrange to get dy ?by = dx U 0 + bx We solve the above differential equation by separation of variables: dy dx = by ? U 0 + bx Integration yields 1 1 1 ? ln ( by ) = ln (U 0 + bx ) + ln C1 b b b (3) where we have set the constant of integration as the natural logarithm of some constant C1, with a constant in front in order to simplify the algebra (notice that the factor of 1/b can be removed from each term in Eq. 3). When we recall that ln(ab) = lna + lnb, and that –lna = ln(1/a), Eq. 3 simplifies to Equation for streamlines: y= CU 0 + bx ) ( (4) The new constant C is related to C1, and is introduced for simplicity. Discussion Each value of constant C yields a unique streamline of the flow. 4-10 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission. Chapter 4 Fluid Kinematics 4-24E Solution For a given velocity field we are to plot several streamlines for a given range of x and y values. 3 Assumptions 1 The flow is steady. 2 The flow is two-dimensional in the x-y plane. Analysis From the solution to the previous problem, an equation for the streamlines is 1 Streamlines in the x-y plane: y= C (U 0 + bx ) (1) y0 (ft) Constant C is set to various values in order to plot the streamlines. Several streamlines in the given range of x and y are plotted in Fig. 1. The directi on of the flow is found by calculating u and v at some point in the flow field. We choose x = 1 ft, y = 1 ft. At this point u = 9. 6 ft/s and v = –4. 6 ft/s. The direction of the velocity at this point is obviously to the lower right. This sets the direction of all the streamlines. The arrows in Fig. indicate the direction of flow. Discussion -1 -2 -3 0 1 2 3 x (ft) 4 5 The flow is type of converging channel flow. FIGURE 1 Streamlines (solid blue curves) for the given velocity field; x and y are in units of ft. 4-25C Solution We are to determine what kind of flow visualization is seen in a photograph. Analysis Since the picture is a snapshot of dye streaks in water, each streak shows the time history of dye that was introduced earlier from a port in the body. Thus these are streaklines. Since the flow appears to be steady, these streaklines are the same as pathlines and streamlines. DiscussionIt is assumed that the dye follows the flow of the water. If the dye is of nearly th e same density as the water, this is a reasonable assumption. 4-26C Solution We are to define pathline and discuss what pathlines indicate. Analysis A pathline is the actual path traveled by an individual fluid particle over some time period. It indicates the exact route along which a fluid particle travels from its starting point to its ending point. Unlike streamlines, pathlines are not instantaneous, but involve a finite time period. Discussion If a flow field is steady, streamlines, pathlines, and streaklines are identical. -27C Solution We are to define streakline and discuss the difference between streaklines and streamlines. Analysis A streakline is the locus of fluid particles that have passed sequentially through a prescribed point in the flow. Streaklines are very different than streamlines. Streamlines are instantaneous curves, everywhere tangent to the local velocity, while streaklines are produced over a finite time period. In an unsteady flow, streaklines distort and t hen retain features of that distorted shape even as the flow field changes, whereas streamlines change instantaneously with the flow field.Discussion If a flow field is steady, streamlines and streaklines are identical. 4-11 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission. Chapter 4 Fluid Kinematics 4-28C Solution We are to determine what kind of flow visualization is seen in a photograph. Analysis Since the picture is a snapshot of dye streaks in water, each streak shows the time history of dye that was introduced earlier from a port in the body.Thus these are streaklines. Since the flow appears to be unsteady, these streaklines are not the same as pathlines or streamlines. Discussion It is assumed that the dye follows the flow of the water. If the dye is of nearly the same density as the water, this is a r easonable assumption. 4-29C Solution We are to determine what kind of flow visualization is seen in a photograph. Analysis Since the picture is a snapshot of smoke streaks in air, each streak shows the time history of smoke that was introduced earlier from the smoke wire. Thus these are streaklines.Since the flow appears to be unsteady, these streaklines are not the same as pathlines or streamlines. Discussion It is assumed that the smoke follows the flow of the air. If the smoke is neutrally buoyant, this is a reasonable assumption. In actuality, the smoke rises a bit since it is hot; however, the air speeds are high enough that this effect is negligible. 4-30C Solution We are to determine what kind of flow visualization is seen in a photograph. Analysis Since the picture is a time exposure of air bubbles in water, each white streak shows the path of an individual air bubble.Thus these are pathlines. Since the outer flow (top and bottom portions of the photograph) appears to be ste ady, these pathlines are the same as streaklines and streamlines. Discussion It is assumed that the air bubbles follow the flow of the water. If the bubbles are small enough, this is a reasonable assumption. 4-31C Solution We are to define timeline and discuss how timelines can be produced in a water channel. We are also to describe an application where timelines are more useful than streaklines. Analysis A timeline is a set of adjacent fluid particles that were marked at the same instant of time.Timelines can be produced in a water flow by using a hydrogen bubble wire. There are also techniques in which a chemical reaction is initiated by applying current to the wire, changing the fluid color along the wire. Timelines are more useful than streaklines when the uniformity of a flow is to be visualized. Another application is to visualize the velocity profile of a boundary layer or a channel flow. Discussion Timelines differ from streamlines, streaklines, and pathlines even if the flo w is steady. 4-32C Solution For each case we are to decide whether a vector plot or contour plot is most appropriate, and we are to explain our choice.Analysis In general, contour plots are most appropriate for scalars, while vector plots are necessary when vectors are to be visualized. (a) A contour plot of speed is most appropriate since fluid speed is a scalar. (b) A vector plot of velocity vectors would clearly show where the flow separates. Alternatively, a vorticity contour plot of vorticity normal to the plane would also show the separation region clearly. (c) A contour plot of temperature is most appropriate since temperature is a scalar. (d) A contour plot of this component of vorticity is most appropriate since one component of a vector is a scalar.Discussion There are other options for case (b) – temperature contours can also sometimes be used to identify a separation zone. 4-12 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill Companies, Inc. Limited distribution pe rmitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission. Chapter 4 Fluid Kinematics 4-33 Solution For a given velocity field we are to generate an equation for the streamlines and sketch several streamlines in the first quadrant. Assumptions 1 The flow is steady. 2 The flow is two-dimensional in the x-y plane.Analysis The velocity field is given by V = ( u , v ) = ( 0. 5 + 1. 2 x ) i + ( ? 2. 0 ? 1. 2 y ) j (1) For two-dimensional flow in the x-y plane, streamlines are given by dy ? v = ? dx ? along a streamline u Streamlines in the x-y plane: (2) We substitute the u and v components of Eq. 1 into Eq. 2 and rearrange to get dy ? 2. 0 ? 1. 2 y = dx 0. 5 + 1. 2 x We solve the above differential equation by separation of variables: dy dx = ?2. 0 ? 1. 2 y 0. 5 + 1. 2 x > dy dx ? ? 2. 0 ? 1. 2 y = ? 0. 5 + 1. 2 x Integration yields ? 1 1 1 ln ( ? 2. 0 ? 1. 2 y ) = ln ( 0. 5 + 1. 2 x ) ? ln C1 1. 2 1. 2 1. 2 here we have set the constant of integration as the natural logarithm of some constant C1, with a constant in front in order to simplify the algebra. When we recall that ln(ab) = lna + lnb, and that –lna = ln(1/a), Eq. 3 simplifies to Equation for streamlines: y= 5 y 4 3 2 C ? 1. 667 1. 2 ( 0. 5 + 1. 2 x ) 1 The new constant C is related to C1, and is introduced for simplicity. C can be set to various values in order to plot the streamlines. Several streamlines in the upper right quadrant of the given flow field are shown in Fig. 1. The direction of the flow is found by calculating u and v at some point in the flow field.We choose x = 3, y = 3. At this point u = 4. 1 and v = -5. 6. The direction of the velocity at this point is obviously to the lower right. This sets the direction of all the streamlines. The arrows in Fig. 1 indicate the direction of flow. Discussion 6 (3) 0 0 1 2 3 4 5 x FIGURE 1 Streamlines (solid black curves) for the given velocity field. The flow appea rs to be a counterclockwise turning flow in the upper right quadrant. 4-13 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to teachers and educators for course preparation.If you are a student using this Manual, you are using it without permission. Chapter 4 Fluid Kinematics 4-34 Solution For a given velocity field we are to generate a velocity vector plot in the first quadrant. Scale: 6 Assumptions 1 The flow is steady. 2 The flow is two-dimensional in the x-y plane. Analysis 5 y4 The velocity field is given by V = ( u , v ) = ( 0. 5 + 1. 2 x ) i + ( ? 2. 0 ? 1. 2 y ) j 3 (1) 2 At any point (x,y) in the flow field, the velocity components u and v are obtained from Eq. 1, Velocity components: u = 0. 5 + 1. 2 x 10 m/s v = ? 2. 0 ? 1. 2 y 1 0 (2) 0To plot velocity vectors, we simply pick an (x,y) point, calculate u and v from Eq. 2, and plot an arrow with its tail at (x,y), and its tip at (x+Su,y+Sv) where S is some scale factor for the vector plot. For the vector plot shown in Fig. 1, we chose S = 0. 2, and plot velocity vectors at several locations in the first quadrant. 1 2 3 4 5 x FIGURE 1 Velocity vectors for the given velocity field. The scale is shown by the top arrow. Discussion The flow appears to be a counterclockwise turning flow in the upper right quadrant. 4-35 Solution For a given velocity field we are to generate an acceleration vector plot in the first quadrant.Assumptions 1 The flow is steady. 2 The flow is two-dimensional in the x-y plane. Analysis The velocity field is given by V = ( u , v ) = ( 0. 5 + 1. 2 x ) i + ( ? 2. 0 ? 1. 2 y ) j (1) At any point (x,y) in the flow field, the velocity components u and v are obtained from Eq. 1, Velocity components: u = 0. 5 + 1. 2 x v = ? 2. 0 ? 1. 2 y Scale: (2) 6 The acceleration field is obtained from its definition (the material acceleration), Acceleration components: ?u ?u ?u ?u ax = +u +v +w = 0 + ( 0. 5 + 1. 2 x )(1. 2 ) + 0 + 0 ?t ?x ?y ?z ?v ?v ?v ?v ay = + u + v + w = 0 + 0 + ( ? 2. 0 ? 1. 2 y )( ? 1. 2 ) +0 t ?x ?y ?z 5 4 y 3 2 (3) 1 0 0 where the unsteady terms are zero since this is a steady flow, and the terms with w are zero since the flow is two-dimensional. Eq. 3 simplifies to Acceleration components: ax = 0. 6 + 1. 44 x a y = 2. 4 + 1. 44 y 10 m/s2 (4) 1 2 3 4 5 x FIGURE 1 Acceleration vectors for the velocity field. The scale is shown by the top arrow. To plot the acceleration vectors, we simply pick an (x,y) point, calculate ax and ay from Eq. 4, and plot an arrow with its tail at (x,y), and its tip at (x+Sax,y+Say) where S is some scale factor for the vector plot. For the vector plot shown in Fig. , we chose S = 0. 15, and plot acceleration vectors at several locations in the first quadrant. Discussion Since the flow is a counterclockwise turning flow in the upper right quadrant, the acceleration vectors point to the upper right (centripetal acceleration). 4-14 PROPRIETARY MATERIAL.  © 2006 The McGraw-Hill C ompanies, Inc. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission. Chapter 4 Fluid Kinematics 4-36 For the given velocity field, the location(s) of stagnation point(s) are to be determined.Several velocity Solution vectors are to be sketched and the velocity field is to be described. Assumptions 1 The flow is steady and incompressible. 2 The flow is two-dimensional, implying no z-component of velocity and no variation of u or v with z. Analysis (a) The velocity field is Scale: V = ( u , v ) = (1 + 2. 5 x + y ) i + ( ? 0. 5 ? 1. 5 x ? 2. 5 y ) j (1) 5 Since V is a vector, all its components must equal zero in order for V itself to be zero. Setting each component of Eq. 1 to zero, Simultaneous equations: x = -0. 421 m 4 3 u = 1 + 2. 5 x + y = 0 v = ? 0. 5 ? 1. 5 x ? 2. y = 0 y 2 We can easily solve this set of two equations and two unknowns simultaneously. Yes, there is one s tagnation point, and it is located at Stagnation point: 10 m/s y = 0. 0526 m 1 0 (b) The x and y components of velocity are calculated from Eq. 1 for several (x,y) locations in the specified range. For example, at the point (x = 2 m, y = 3 m), u = 9. 00 m/s and v = -11 m/s. The magnitude of velocity (the speed) at that point is 14. 21 m/s. At this and at an array of other locations, the velocity vector is constructed from its two components, the results of which are shown in Fig. . The flow can be described as a counterclockwise turning, accelerating flow from the upper left to the lower right. The stagnation point of Part (a) does not lie in the upper right quadrant, and therefore does not appear on the sketch. -1 0 1 2 3 4 5 x FIGURE 1 Velocity vectors in the upper right quadrant for the given velocity field. Discussion The stagnation point location is given to three significant digits. It will be verified in Chap. 9 that this flow field is physically valid because it satisfies th e differential equation for conservation of mass. 4-15 PROPRIETARY MATERIAL. 2006 The McGraw-Hill Companies, Inc. Limited distribution permitted only to teachers and educators for course preparation. If you are a student using this Manual, you are using it without permission. Chapter 4 Fluid Kinematics 4-37 For the given velocity field, the material acceleration is to be calculated at a particular point and plotted at Solution several locations in the upper right quadrant. Assumptions 1 The flow is steady and incompressible. 2 The flow is two-dimensional, implying no z-component of velocity and no variation of u or v with z. Analysis (a) The velocity field isV = ( u , v ) = (1 + 2. 5 x + y ) i + ( ? 0. 5 ? 1. 5 x ? 2. 5 y ) j (1) Using the velocity field of Eq. 1 and the equation for material acceleration in Cartesian coordinates, we write expressions for the two non-zero components of the acceleration vector: ax = ?u ?u +u ?t ?x +v ?u ?y +w ?u ?z Scale: = 0 + (1 + 2. 5 x + y )( 2. 5 ) + ( ? 0. 5 ? 1. 5 x ? 2. 5 y )(1) + 0 10 m/s2 5 4 and ay = ?v ?v +u ?t ?x +v ?v ?y +w ?v ?z = 0 + (1 + 2. 5 x + y )( ? 1. 5 ) + ( ? 0. 5 ? 1. 5 x ? 2. 5 y )( ? 2. 5 ) + 0 3 y 2 1 At (x = 2 m, y = 3 m), ax = 11. 5 m/s2 and ay = 14. 0 m/s2. b) The above equations are applied to an array of x and y values in the upper right quadrant, and the acceleration vectors are plotted in Fig. 1. Discussion The acceleration vectors plotted in Fig. 1 point to the upper right, increasing in magnitude away from the origin. This agrees qualitatively with the velocity vectors of Fig. 1 of the previous problem; namely, fluid particles are accelerated to the right and are turned in the counterclockwise direction due to centripetal acceleration towards the upper right. Note that the acceleration field is non-zero, even though the flow is steady. 0 -1 0 1 2 3 4 5 x

Christian Science Essay

Modern day America is home to many Protestant groups, most of which had their foundation largely influenced by 19th century Protestantism in the region. During the period, irresistible dynamism rocked American Protestant groups, coinciding with an epoch in which the American society readily allowed the founding of new churches and religious movements. Amid growing revivalism and much freedom to develop, the 19th century also saw mounting interest in millennialism and the rise of Adventism. All these resulted in new Protestant groups, some motivated by the looming Second Coming of Christ and while others invented new religious doctrines. A few broke away from existing churches while others claimed their foundation in new revelations. Among the key churches founded then include the Jehovah’s Witnesses, the Church of Jesus Christ of Latter-Day Saints, Christian Science and the Seventh-Day Adventist. The Church of Jesus Christ of Latter-Day Saints, popular as the Mormons and founded by Joseph Smith, was among the first churches to be formed. In his boyhood, Smith experienced visions via which he was advised against joining existing churches, and told he would be active in restoring true Christianity. In 1823, he was guided by a heavenly messenger named Moroni to a hill in New York, where he discovered strange writing covering two thin golden plates. His translation of the writing, aided by Moroni, is now the Book of Mormon and is based on Christ’s teachings. Mormons deem their faith akin to that founded by Jesus in North America. Although they accept the influence of the old and new testaments, their scriptural doctrine includes the Book of Mormon and two other texts, Doctrines and Covenants and the Pearl of Great Price; both based on Smith’s revelations and sermons. The discovery of the Book of Mormons allured many followers to Smith’s church, whose membership is now roughly eight million, with headquarters in Salt Lake City. Christian Science was on its part founded in 1879 by Mary Baker Eddy, originally a member of a Congregational Church. As a young woman, she suffered from nervous disorders that physicians and hypnotists could not cure. She in 1866 claimed to have been totally cured after reading a New Testament account of one of the miraculous healings Jesus performed. She subsequently founded the church, which she described in her book Science and Health. Its members disregard formal creeds and doctrines, with some fully devoting themselves to tutor others how to use ‘scientific prayer’ to access God’s healing love. Christian Science has over 3, 000 congregations in 50 countries, with headquarters in Boston. This church is seen as the source of New Thought, a larger American religious movement attributed to Emma Hopkins. Emma was Baker’s student and a teacher, whose students later formed new versions of New Thought such as the Unity School of Christianity, Religion Science and Divine Science and the Unity Movement. The latter has congregations in most USA cities and abroad. On the Adventist front, the Seventh-Day Adventist is the main church. It was founded by Ellen White. White was a follower of William Miller, a millennialist who founded the first Adventist denomination and wrongly proclaimed Christ would return in 1843 to preside over a final judgment. Ellen experienced many visions that inspired her books. And being a gifted speaker, she drew thousands to her lectures, in which she attributed the delay of the predicted Second Coming to Christians’ failure to obey the Ten Commandments. Today, the church has nearly four million members, with half a million living in the USA. The Jehovah’s Witnesses is also a millennialist group, formed in 1881 by Charles Taze Russell. At 20, Russell’s study of the Bible led him to a verdict that the Second Coming would occur in 1874, when Christ would invisibly return. This was to be followed by the Battle of Armageddon and end of the world in 1914. His ideas drew him hundreds of followers and membership continued to rise even after his prophesy failed to materialize. The church, with headquarters in New York, now has over two million members in 200 countries. They understand Christ to be God’s son but reject the doctrine of the Trinity and still believe that a ‘great tribulation’ is imminent. Considering that the churches discussed here are just the main ones and have followers worldwide, it is clearly evident that 19th century American Protestantism played a middle role in both the origination and molding of the course, and even beliefs, of numerous modern-day churches and movements. References LD.

Organizational Diagnosis Aligning Business to Present Needs at Translines Logistics Company

Organizational Diagnosis Aligning Business to Present Needs at Translines Logistics Company Sweeping demographic shifts, technological advances, competition, geopolitical realignments, and other related pressures are coalescing with concerns for security, new customer preferences and organizational governance to create momentous pressure for organizational change (Howard, 1994).Advertising We will write a custom research paper sample on Organizational Diagnosis: Aligning Business to Present Needs at Translines Logistics Company specifically for you for only $16.05 $11/page Learn More The awareness of this multiplicity of factors is critically important since it alert’s managers and other interested parties to a need to have some intervention measures in place to attend to their organizations’ pertinent environmental contexts and to decide on the best way to deal with them. The underlying principle is that organizations need to continually change to adapt to the environmental factors or risk irrelevancy (Harrison Shirom, 1999). This p aper purposes to evaluate organizational diagnosis for change at Translines Logistics Company. The above named company has been experiencing decreasing business in spite of the fact that it was a market leader in logistics and parcel delivery services some years ago. Recent government regulations requiring cargo to be cleared from the port within 24 hours or risk stiff penalties have not helped matters, and the company is losing money charged as penalties for late cargo clearance. Also, customers have been lodging complaints about late or delayed cargo delivery to their warehouses, and some have already left the company due to this problem. According to Harrison Shirom (2007), organizational diagnosis basically entails â€Å"†¦investigations that draw on concepts, models, and methods from the behavioral sciences in order to examine an organization’s current state and help clients find ways to solve problems or enhance organizational effectiveness† (p. 7). After c onducting a series of interviews with managers at the company’s port and head offices, it became clear that the existing organizational structure and technology cannot permit clearance of cargo within 24 hours and, as such, does not fit the current situation as dictated by the government regulation.Advertising Looking for research paper on business economics? Let's see if we can help you! Get your first paper with 15% OFF Learn More A close observation of the company trucks as they moved about transporting cargo to various destinations revealed that drivers were indeed stopping on the way to engage in private business. A perusal of company documents relating to clearance and cargo holding revealed very many layers of authority, thus time wastage. For example, a cargo needed the signatures of 5 managers for it to be released, and some of the managers were ever absent from the office. It is imperative to note that the diagnosis made use of Bolman Dealà ¢â‚¬â„¢s Four Frames Model to identify these underlying issues that generated ineffective outcomes for the company (Noolan, 2004). In consequence, it is clear that the organizational structure needs to be changed so that it is aligned with the current situation that requires faster cargo clearance. In changing the organizational structure, efforts should be made to reduce the layers of authority in a strategy aimed at availing cargo to customers within the designated time-frame. Third, the company needs a total overhaul of its information system to necessitate cargo clearance online instead of doing it manually. This will not only save time, but it will enable the company to save critical resources in terms of wage bills and office space. Lastly, the company could consider investing in high-tech satellite tracking systems to monitor the activities of drivers while on duty. This will go a long way to curtail use of official time for personal purposes, a factor that has been directly linked to the increased customer disenchantment with the company. According to the Four Frames model, every organizational change has some human implications, and it should be the function of change agents or consultants to always ensure that the organization is tailored to meet the human needs (Noolan, 2004). However, the change progressed in this type of situation may in the long run have some implications for the employees by virtue of the fact that some managers may have to be stepped down or moved to other sections to pave way for reorganizing the organizational structure to lessen the layers of authority. Still, some employees will be replaced by the modern information system to be implemented to ensure that cargo is cleared from the port within the designated time-frame. Drivers, on their part, will have to be monitored through satellite to ensure they deliver on time. These implications, though they may appear harsh to employees, will go a long way to align the needs of the organization to its business strategies and the anticipated outcomes. To remain competitive and sustainable, organizations must align their change efforts to the long-term business agenda and key objectives (Franken et al., 2009).Advertising We will write a custom research paper sample on Organizational Diagnosis: Aligning Business to Present Needs at Translines Logistics Company specifically for you for only $16.05 $11/page Learn More As already mentioned, there exists a multiplicity of factors within the environmental context of organizations that drives change (Howard, 1994). In this particular scenario, the leading driver of change is the sudden shift in government regulations, that is, the introduction of a new regulation requiring companies to clear their cargo within 24 hours or risk penalties. According to Franken et al (2009), many of the factors that drive change are interrelated, and this can be drawn here by the fact that the government must hav e known about the existence of a particular type of technology that can facilitate cargo clearance within a shorter time-frame. Against this backdrop, it can be argued that the convergence of technology is yet another driver of change. Third, shifting customer expectations and new competitive threats can also be identified as other drivers of change. The customer must have known about other competitors in the market and their delivery capability compared against what Tlanslines was offering. Manuela Clara (n.d.) are of the opinion that â€Å"†¦the reasons for the failure of many change initiatives can be found in resistance to change† (p. 3). It is a well known fact that resistance to change introduces costs and impediments in the change process that are inarguably challenging to anticipate, but which must be duly considered when initiating changes in an organization. In this particular situation, resistance may be anticipated from managers who will have to lose their p ositions or be transferred elsewhere in an attempt to reduce the layers of authority and streamline the organizational structure. Second, resistance may be anticipated from truck drivers who may feel uncomfortable with the idea of being tracked via satellite to ensure faster delivery of cargo. Third, resistance may come from fellow employees who may be uncertain about their jobs and other benefits when computerization of the cargo clearance system is fully implemented. From the identification of the underlying factors that have affected the business outcomes of Tlanslines, it can be recommended that structural and administrative reforms be initiated towards necessitating the company meet the government initiatives and remain competitive in business. Such reforms will be in line with the company’s long-term business goal of remaining a market leader in the transportation business.Advertising Looking for research paper on business economics? Let's see if we can help you! Get your first paper with 15% OFF Learn More It is also recommended that the company adopts technology frameworks that will inarguably facilitate faster clearance of cargo and faster delivery of the same to customers. Such an arrangement will to a large extent assist the company to maintain its competitive advantage in the marketplace. Finally, it is recommended that all employees be involved in the change process to reduce resistance and make it a success. Reference List Franken, A., Edwards, C., Lambert, R (2009). Executing Strategic Change: Understanding the Critical Management Elements that leads to Success. California Management Review, 51(3), 49-73. Retrieved from Business Source Premier Database Harrison, M.., Shirom, A. (1999). Organizational diagnosis and assessment: Bridging theory and practice. Thousand Oaks, CA: Sage Publications, Inc Howard, A. (1994). Diagnosis for organizational change: Methods and models. New York, NY: The Guilford Press Manuela, P.V., Clara, M.F. (n.d.) Resistance to Change: A Literature Re view and Empirical Study. Retrieved from https://www.uv.es/~pardoman/resistencias.PDF Noolan, J.A.C. (2004). Diagnostic models: An Introduction. Web.

Macbeth Essay Essays

Macbeth Essay Essays Macbeth Essay Essay Macbeth Essay Essay AS91101: Formal essay A main character who undergoes a significant change in a text is Macbeth, a character in Shakespeare’s play. He changes from being known as â€Å"noble Macbeth† at the start of the play, to being viewed as a â€Å"tyrant† at the end. This is an important change because it shows a once noble man who would do anything for king and country, to becoming corrupt in his ways. All because of his blinded ambition and desire to become the King of Scotland. Techniques that are used to show these changes are the use of asides and soliloquies, stage directions, figurative language and other character’s opinions. In the beginning of the play Macbeth is seen as a very brave and noble man. This is shown in Act 1 scene 2 when he is praised by the king† O valiant cousin† and the captain â€Å" brave Macbeth†, and is made out to be believed that he is the main reason for Scotland winning the battle. Macbeth is given hyperbolic and lavish praise for his military skills, such as â€Å"they were/as cannons overcharged with double cracks†, a simile which compares the speed and efficiency of Macbeths killing; to a cannon firing shots at once. However this all begins to change in Act 1 scene 3, when Macbeth has his first encounter with the three witches. You start to realise that Macbeth seems quite open to new and exciting ventures. You see this when Macbeth and Banquo are talking to the witches and they tell Macbeth his prophecies. Banquo tells us Macbeth jumps† why do you start†, which suggests he already has the ambition to be a King. Although Macbeth knows the witches might be evil, he is seduced by the last prophecy† that shalt be king thereafter†. This shows the audience that Macbeth is already changing, for the fact that he is already thinking of murder. In Act 1 scene 4, Duncan’s announcement that Malcolm is his heir; shatters Macbeth’s hopes of becoming King. In front of Duncan, Macbeth seems very happy. But to the side he describes Malcolm as† a step/on which I must fall down, or else o’er leap† (this is an example of an aside). This describes Malcolm as an obstacle to the throne, which Macbeth must overcome. This shows that nothing will stand in his way and his ambition is far too great. After this scene, his fate is set and Macbeth knows that he must do what ever is necessary to become king, even if it means resulting in murder. This is mentioned in Act 1 scene 3, when in a aside, Macbeth says to himself â€Å"my thought, whose murder yet is but fantastical†, which shows he is having thoughts of murder even though the witches had never mentioned it. This means that his state of mind is changing from good to evil, all because of his raging ambition to become King. However, Macbeth did know deep inside that murdering Duncan was wrong and at one point had came to the decision not to do it at all. This soliloqy occurred in Act 1 scene 7, while being outside the dinner room Macbeth ponders over wether he should murder Duncan or not. It is shown in lines 12-28 â€Å"he’s here in double trust†¦and falls on th’other†. This describes all the reasons he shouldn’t kill Duncan, throughout this entire soliloquy, he only comes up with one reason why he should, his driving ambition to become king. By the time Lady Macbeth finds him (the one thing pushing Macbeth into killing Duncan) he has changed his mind. However Lady Macbeth accuses him of cowardice and that he doesn’t love her (Act 1 scene 7, lines 35-45). She then moves on to tell him the plan and he is very impressed by her plan and attitude. This shows he has changed in a way that he can no longer make his own decisions and can be manipulated into doing anything if the right things are said. Later in the play you finally see that Macbeth has changed from being â€Å"noble Macbeth† to a â€Å"tyrant†. You see this when Banquo thinks how all the witches prophecies for Macbeth have become true and wonders if they might for him to, â€Å"and set me up in hope†. This reveals Banquo’s hope to be â€Å"the root and father of many kings†. It shows Shakespeare flattering James I, who believed he was a descendant of Banquo). However he becomes suspicious of Macbeth and his involvement in Duncan’s death,† I fear though play’dst most foully for’t†. The use of the word â€Å"foully† reminds us of the witches in Act 1 â€Å"fair is foul and foul is fair† this links into the theme of appearance and reality and the fact it shows the tragedy that is Macbeth. â€Å"The downfall of man has begun†. The fact he has changed from â€Å"noble Macbeth† to a â€Å"tyrant† is finally realised in Act 3 scene 1, lines 48-73; when Macbeth talks about his fears in Banquo.. In these lines he talks about how Banquo is a better man and because of this he feels inferior. He worries about the witch’s prophecy for Banquo: Banquo’s descendants will be Kings. (Macbeth has no children),† they hailed him father†¦sceptre in my gripe†. Because of all of this, he decides to murder his best friend and his son Fleance. All so his line can remain as King. This is the ultimate sign of betrayal and lets you see what exactly his and everybody else’s ambition can drive them to do. It also shows exactly what he will do to remain as King. Even if it means killing everybody he once loved. All of the changes that occur throughout the play are important because it shows Macbeth changing at the beginning of the play from a man of pure heart. To becoming something of absolute evil, all the way up to his well-deserved death. This is all caused by Macbeth’s insane ambition to become the King of Scotland. Ambition has serious consequences in the play: Macbeth is slain as a tyrant and Lady Macbeth commits suicide. Shakespeare does not give either character the opportunity to enjoy what they have achieved – perhaps suggesting that it is more satisfying to achieve your goals fairly than to achieve them through corruption. In testing Macduff’s loyalty, Malcolm outlines the difference between ambition and morality by pretending to be greedy and power hungry. He wants to see if Macduff believes these are good qualities for a King to posses. Macduff does not and therefore demonstrates that a moral code is more important in positions of power than blind ambition. At the end of the play, Malcolm is the victorious King and Macbeth’s burning ambition has been extinguished. But is this really the end to over-reaching ambition in the kingdom? The audience is left to wonder if Banquo’s heir will eventually become king as prophesized by the witches. Will he act on his own ambition or will fate play a part in realizing the prophecy? Or were the witches’ predictions wrong? So to conclude, Macbeth goes through a significant change from being a hero into a scoundrel. This all occurs because of his thriving ambition to have something that was never rightfully his. The throne of Scotland. This is and always will be the tragedy of the play; the tragedy of Macbeth. Sheldon Cullen

Informal Essay about Friendship

Informal Essay about Friendship Informal Essay about Friendship Friendship can be defined as a personal relationship between two or more individuals, grounded in feelings of concern for one another and includes intimacy to a certain degree. Given that human beings are generally considered social, friendship is an important part of every individual’s life. Most people dedicate a portion of their day to interacting with friends, whether face-to-face or by phone or on the computer. Given the vital role that friendship plays in the lives of almost all human beings, it is prudent to friendship from different perspectives, including the nature of friendship. How does one know what true friendship is? Friendship is demonstrated through mutual care, acts of intimacy, and activities that individuals share with those whom they consider friends. Friendship is always valued and justified by examining both its individual importance and social worth. Individual value of friendship is gauged from the perspective of an individual who considers the amount of resources, time, energy that he or she is willing to invest in the relationship. The value an individual places on a friendship can also be measured from the perception of whether the friendship makes one’s life feel better or worse. Whether an individual appreciates the friendship of another, though, is sometimes tied up with how that person feels about himself. If one does not value himself, that person is less likely to value someone else or the friendship offered by someone else. People often form friendships based on what they have to offer each other. Sometimes they share a mutual problem or concern. Through collaborating with each other to solve the problem, they often form a mutual bond. Social factors can also significantly help an individual to determine the value of a friendship. For instance, if one’s friendship influences one to promote the general good and consideration for others, then that friendship can be considered to be of value. Moreover, morality issues can play a significant role in helping one to determine if a relationship is of significant value. Fighting a common cause can result in friendships forming. Finally, no one really knows who is true friends are except in times of trouble. Those who run away when needed cannot be considered true friends. On the other hand, individuals discover during difficult times new friends, individuals that perhaps they knew but did not previously value. Some informal essay writing tips: Since this is an informal essay which is written mostly for entertainment purposes, a few of the rules that guide essay writing can be skipped. These include a comprehensive introductory paragraph which ends with a comprehensive thesis statement. This essay began with a brief definition of friendship before delving into the various aspects of friendship. By examining the issue of friendship from different perspectives, this essay is designed to help its readers to understand the concept of friendship on a deeper level than perhaps they previously considered it. If you need a superior-quality custom informal essay about Friendship contact our essay writing service provided by professional paper writers.

Money and Banking Essay Example | Topics and Well Written Essays - 750 words

Money and Banking - Essay Example This is because the financial crisis has deeper roots. The global credit crunch has been traced by economists and media pundits to be caused by the sub prime mortgage crisis which has disrupted the US financial system, which effect has impacted many of the advanced economies of the world. According to the article, the ‘financialization’ of the US economy by speculative activities in order to hoard capital is the major reason for the global crisis—where the economy has overcapacity of capital but no increase in production in order to back it up. In order to understand it better, the authors have linked first the global financial crisis to the subsequent events that has appeared which may have been the trigger, but not the sole cause of it. While according to the article, this financialization process which is caused by speculation of capital increased the supply of capital in the economy, and not because of faster growth of production may have taken place a couple of decades ago, the trigger has occurred when asset bubbles appeared and the Fed has started ‘to make preemptive attacks.’ The trigger starts back after the 2000 stock market crash. According to the article, there are several policies which aimed to prevent â€Å"economic catastrophes† from happening. When the housing bubble occurred in 2006 at the same time interest rates are increased by Fed in order to regulate inflation, the housing sector as well as mortgage-backed securities faced a meltdown. This has been the start of the chain of events that lead to the global financial crisis. However, according to the authors, Fed’s efforts in order to address the crisis by bailing out several financial institutions will result in the effect that it aims to promote because the problem lies in a much deeper issue. While many economists and media pundits trace back the

Movie review--photography Review Example | Topics and Well Written Essays - 250 words

--photography - Movie Review Example Fashion is something that defines a generation or a culture. That is why, during different time in history of humanity, there have been a variant in fashions trend. It is this fact that influenced Bill’s career and fascinates him. While on the street, Bill never minds being hit by car. This is depicted in the film where at some point he is in between traffic, which endangers him. He realizes this and admits that it is never easy to capture fashion in New York City. Again, Bill says he is never interested in celebrities free dresses neither is he a paparazzi. In the film, it is clear that the females have a rich orientation of fashion in their dress code than male. This is so because in Bill’s photo gallery, he has more females’ pictures than males’ (Bill, 46-51). In conclusion, Bill act of photographing and reporting to public influences the fashion trend of the day. Whenever Bill shared a new fashion, it could be noted afterwards that people could adopt the new fashion. Undoubtedly, bill had passion of his career since in several occasions he turned down monetary offers from

Equity and trusts Essay Example | Topics and Well Written Essays - 2000 words

Equity and trusts - Essay Example pective of property relations such that even if married couples lived together in a property owned by one of them prior to the marriage and used the same as family home after the marriage the law does not deem the newcomer as a part owner of such property. Albeit the courts enjoy wide discretion under the Matrimonial Causes Act of 1973 to distribute the properties between divorced husband and wife, a declaration dividing the matrimonial home equally between the ex-spouses cannot be made ipso facto because courts usually take into account legalities and legal requirements in adjudicating such property. Thus, in Pettitt v Pettitt [1970] AC 777 HL, the Court declared that the husband has no equitable interest in the couple’s family home despite the fact that he contributed labour and money in the improvement of the property. The Court held that the wife is the legal and equitable owner of the property because she used her own money in its purchase. This decision was held despite the fact that the husband relied on the provision of s 17 of the Married Women’s Property Act 1882, which allowed the Court discretion to distribute properties between contending husbands and wives. In another interesting case, Lloyds Bank v Rosset [1991] 1 AC 107, [1991] All ER 1111, a married couple purchased a farmhouse out of family funds. The sellers, however, insisted that the purchase should be made in the name of the husband alone but the wife had a significant role in supervising the extensive repairs over the property. The family funds, however, were not enough to pay for the entire purchase price of the property and the husband, without the knowledge of the wife, sought loan from a bank and secured the same with a legal charge over the property. When the payments for the loans defaulted, the bank moved to foreclose the property over the objection of the wife who claimed beneficial interest over it. The Court disagreed holding that the wife had no beneficial interest over it

PhIP can accurately identify known and previously unreported Coursework

PhIP can accurately identify known and previously unreported autoantigens - Coursework Example The paper "PhIP can accurately identify known and previously unreported autoantigens" seeks to affirm the hypothesis that â€Å"PhIP can accurately identify known and previously unreported autoantigens† figure 3 shows seven figure that represent various experimental processes. Key technical issues in the program of work include the accurate and PhIP sequencing and T7 cloning, verifying and analyzing results from human samples with different consenting PND patients. Firstly the human protein and cDNA sequences available are downloaded from the database at build 35.1 of the human genome. Then this cDNA and the proteins are used to construct the library. This procedure involved the proteome wide library and the N/C terminal libraries that were PCR amplified as 23 independent pools with common primer sequences. This process was conducted in a controlled thermal profile. The polymerase chain reaction was then digested and cloned into the T7FNS2 making numerous copies of each peptid e.the cloning process involved the inserting a peptide in the required ORF sequence selected using restriction enzymes. This part is an a explanation of the processes involved in fig 3.d, g, f, c, e Patient A, B and C samples are collected from willing patients approved by relevant medical authorities. The samples of cerebrospinal fluids were kept at temperatures of - 80 degrees Celsius before being used. Before the collection of sample the patients have to undergo various neurological evaluations before the samples.

Why It Is Important to Criminalize Possession of Cigarettes Research Paper

Why It Is Important to Criminalize Possession of Cigarettes - Research Paper Example Cigarettes were mass produced and advertisements were set up in every city. Cigarettes became incredibly popular. For much of this time, and certainly, in the late 20th century, cigarette companies became aware that their product was extremely dangerous and was causing cancer. They hid these facts from everyone. At the same time, independent medical practitioners were saying the same thing based on experience with their patients. It did not take a rocket scientist to realize that people could die from smoke inhalation. And yet the cigarette companies kept selling their products and deceiving the public. Cigarettes should have been banned then and there. Politicians should have stepped up to the plate for the Average Joe who w was suffering from cancer. Unfortunately, nothing happened. It is quite sad to see that the government has taken very little interest in an issue that has such a strong and clear ethical dimension. We elect our leader to stand up for what we believe is right. Ho wever, the American government was more interested in throwing people in prison for smoking marijuana than they were for arresting cigarettes executives who had perpetrated a massive, deadly fraud on the American people. This was truly shameful. But it is not too late to change things. Cigarettes should be banned. They are a severe poison and they should not be permitted to be sold in the marketplace. No government should permit companies to poison its people; even less so should companies be allowed to lie to both citizens and the government. Unfortunately, the facts on this matter speak for themselves. Even the scientists hired by these companies indicate that they have lied to the public and to the government about what is really in their product. As one recent news report put it: cigarette scientists had been altering their findings to hide the toxicity of their product: They also found, after obtaining evidence that additives increased toxicity, that tobacco scientists adjusted the protocol for presenting their results in a way that obscured these increases.

Policy Essay Example | Topics and Well Written Essays - 2000 words

Policy - Essay Example Policies in academic institutions remain to be central in molding students through providing them with responsible conducts essential for life. However, formulating academic policies that foster pleasant interaction between policy makers and students, faculty, staff and administrators has continued to face challenges hence hindering the achievement of educators’ mission. This paper shall candidly and comprehensively review the library policies used by Arizona State University (ASU), to ascertain the practicability of such policies and recommend necessary policy-changes that can help transform the university. Arizona University formulated rule and regulation that are fundamental in guiding students toward accessing and utilizing the library resource. The library is known as a treasure-house of knowledge acquisition as it helps in stimulating the mind with its resourceful material. The library can be unpleasant to unlucky learners who cannot afford to buy the book or other reading material to enhance their learning (Doyle p. 148). Therefore, the school libraries should be easily accessible and do not exploit its users through heavy fines and inconvenient policies. ASU library is vital toward the student and the staff in general. Therefore, the policy guiding the library must be made in their interest. However, the university has continued to formulate exploitive policies towards this vital department that act like the source of knowledge. Arizona State University has made and implemented these policies: student must pay for the books they require for their studies; student, staff and facu lty also must be charges an overdue of $10.00 cost of learning and teaching material replacement after 90 day (Melnick p. 179). The university also implements other fines such as recall for the material at $10, reserves cost at $1.00 per hour to $20 per item, community card holder at $10.00 billing fees and should

Why It Is Important to Criminalize Possession of Cigarettes Research Paper

Why It Is Important to Criminalize Possession of Cigarettes - Research Paper Example Cigarettes were mass produced and advertisements were set up in every city. Cigarettes became incredibly popular. For much of this time, and certainly, in the late 20th century, cigarette companies became aware that their product was extremely dangerous and was causing cancer. They hid these facts from everyone. At the same time, independent medical practitioners were saying the same thing based on experience with their patients. It did not take a rocket scientist to realize that people could die from smoke inhalation. And yet the cigarette companies kept selling their products and deceiving the public. Cigarettes should have been banned then and there. Politicians should have stepped up to the plate for the Average Joe who w was suffering from cancer. Unfortunately, nothing happened. It is quite sad to see that the government has taken very little interest in an issue that has such a strong and clear ethical dimension. We elect our leader to stand up for what we believe is right. Ho wever, the American government was more interested in throwing people in prison for smoking marijuana than they were for arresting cigarettes executives who had perpetrated a massive, deadly fraud on the American people. This was truly shameful. But it is not too late to change things. Cigarettes should be banned. They are a severe poison and they should not be permitted to be sold in the marketplace. No government should permit companies to poison its people; even less so should companies be allowed to lie to both citizens and the government. Unfortunately, the facts on this matter speak for themselves. Even the scientists hired by these companies indicate that they have lied to the public and to the government about what is really in their product. As one recent news report put it: cigarette scientists had been altering their findings to hide the toxicity of their product: They also found, after obtaining evidence that additives increased toxicity, that tobacco scientists adjusted the protocol for presenting their results in a way that obscured these increases.

Letter of Proposals on Improving Employees Productivity Case Study

Letter of Proposals on Improving Employees Productivity - Case Study Example Employee morale is at an all-time low manifested by resignations, tardiness, low productivity and other employee behaviors that indicate disinterest in their work and company. This is dangerous for the company because it undermines its competitiveness and viability as a business organization. The Research Plan There is an obvious need for management problem to address and arrest this issue among the company’s human resource. For the management implement to be effective however, we need to know what is/are the root cause/s of the employees’ discontent or disinterest with the company and their job. There are two strategies that I intend to use to get feedback and information from the employees. First is the anonymous survey so that employees can honestly provide information about their disenchantment about the management and second, through focus groups that will be conducted by a third party consultants so that employees will not be encumbered by management presence that would prevent from disclosing what they really think and feel. These combined tools will allow the management to double check consistency of findings that will help in determining the real cause of employee’s disenchantment with the company. ... sult of survey Consultant begun their focus group discussions August 2-14 Interpretation of survey results Interpretation of focus group discussions August 16-22 Drafting of report of both the survey result and focus group discussion August 23 Submission of report of the cause of employee morale and recommendation of course of action to address this issue. Qualifications I have taken classes in human resource that focuses on employee motivation and how it relates to performance and productivity. I have also attended leadership workshops on how to make people tick and on how to bring the best of them. I have taken finance classes and I am well aware how low productivity can affect the company’s position in the market. I had some marketing class and know how a poor product can affect the company’s competitiveness. I also taken some summer jobs and is well aware on how employees respond to management implements that they tend to work better if they are motivated. Conclusio n Being in the management, I am certain that you are well aware of the employee’s poor performance and high attrition rate. This proposal does not only intend to determine the root cause of such problem but will also find solution on how the management can address this kind of a problem. The methods applied in determining the root cause of our employee’s problem can also be verified by comparing the consistency of results of the two methods that will be used – survey and third party consultant focus group. The proposal is also time efficient that could produce the necessary information about the issue and its recommendations in less than two months. In effect, the proposal will allow the management to formulate plan of action/s in less than two months. This will put the management in a better

Araling Panlipunan Essay Example for Free

Araling Panlipunan Essay 1.How does the Bible view the family? Just like how God created people in his own image and likeness, He also wants us to have a family that is similar to the holy family. The bible says that each member of the family has a role. The father, as the head of the family, should stand strong for his family. The mother on the other hand, acts as the guide. Not only has God asked them to imitate the holy family to provide proper parentage, but He has also placed big responsibilities upon their shoulders. The children’s role is to do their best to respect their parents for it is stated in the fourth commandant to â€Å"Honor thy father and thy mother†. 2.Give 5 examples of factors that attack the family. Explain. a.Disparity of religion – Parents of the children may have different religions and this may affect their faith and their worshipping. They will have a problem raising their children in one belief. b.Cultural differences – The traditions may affect the family because one person might be doing something out of tradition that is not proper for the other’s culture. c.Instability of marriage – The instability of the marriage of parents can affect the family greatly, because from this, the family might result to becoming a broken family. d.Domestic abuse – Abusing a member of the family may cause them to have strained familial relationship. It will be hard to trust one another after the abuse, and trust is very important because it’s one of the foundations of a strong relationship. e.Infidelity – Parents fight over little things, but infidelity is a different story. This may cause not only problems within the family but outside things may al so be affected, like the studies of the children and the emotional, mental and physical health of each family member. 3.What is the stand of the church against RH Bill? The church is against the RH Bill because they see it as an anti-life bill. They believe that overpopulation, which the government says is the main cause of poverty, is not the real reason but corruption. 4.What is your stand against the RH Bill? I believe that the RH Bill must be imposed. I don’t think that the RH Bill promotes anti-life. It is merely for protection of the population growth. Population growth may not be the cause of poverty but it is surely killing the Philippines. Our country, especially in Metro Manila, cannot hold more people. If the RH Bill is rejected, the Filipinos, being innovative, will try and find ways to look for alternatives for contraception. They might also start illegally producing contraception which will earn Filipinos more criminals which is the last thing the society needs right now. 5.How does the state protect the family? The state does not promote divorce in the country. It is illegal for couples to separate except for some circumstances which can be considered. The state also does not approve of abortion. This can save many lives. The state also has programs which are against child abuse, sexual harassment and other things that help protect the right of a human being. With these, we can trust that the relationship of every Filipino family is safer.

Advantages Of Aluminium As A Shipbuilding Material Engineering Essay

Advantages Of Aluminium As A Shipbuilding Material Engineering Essay The use of aluminium in any vessel involves a radical set of production methods compared to traditional shipbuilding processes. Hence, the methods used for the construction of aluminium vessels are an important factor in the feasibility study. The welding of aluminium is susceptible to hot cracking and can only be done using certain processes. It is important to employ the correct welding methods to serve different purposes. As aluminium technology matures over the years, new production methods such as aluminium extrusions were introduced in a bid to save time and which has also proven to be economical. The use of aluminium in naval shipbuilding exists in two forms; first there is the aluminium-steel ship, where in the case, the superstructure is made from aluminium intended for topside weight saving, and the hull made from steel. Then there is the all-aluminium ship, with the purpose of achieving a considerable overall reduction in weight. It is important to understand that though both forms have their advantages, there are design issues that must be addressed related to the use of aluminium in naval vessel. Background 1.2.1 Advantages of aluminium as a shipbuilding material Aluminiums most important characteristic is its light weight. When coupled with a reasonable tensile strength, it has grown to become the choice of material for many naval ships in the world. In a research by Wade (1996), when it comes to naval shipbuilding, mission capability is the most heavily evaluated criteria of the program. Speed is an increasingly important parameter under mission capability due to the shift in the maritime strategy of the worlds navies from blue-water operations that include traditional Anti-Submarine Warfare, Anti-Air Warfare and Surface Action to littoral operations focusing on surveillance, mine-clearing, counter-terrorism and support for landing operations. Ship Structure Committee (2012) suggests that there are many design parameters that can be optimized for a better performance, where structural weight is one such parameter that gives the most out of cost efficiency. According to Lamb and Beavers (2010), a decrease in weight relates directly to the reduction in material costs and operating costs throughout the service life while reduction in the power demand gives a higher fuel efficiency, higher speed, longer range and additional tonnage capacity. Also, aluminium gives additional benefits in the form of maintenance cost savings, where less painting is required. Brown (1999) mentioned that corrosion protection offered by aluminium is around 100 times slower than structural steel. The excellent corrosion-resistance of aluminium owes its trait to the thin layer of aluminium oxide that forms immediately when the metal is exposed to air, protecting it from external elements. The use of lightweight material like aluminium can also lead to stealth improvement (International Ship Structure Committee, 2012). In a timespan of just over a decade, aluminium high speed vessels have evolved from 30m long vessels that carried passengers and operated in littoral waters, to 120m long vessels that could carry both passengers and vehicles which operated in the open waters. Ship Structure Committee (2012) gave an overview of the prospect of aluminium in naval shipbuilding. Aluminium is a growingly popular metal in the marine industry, typically the naval shipbuilding industry because of the wide range of physical and mechanical properties that can be created through the alloying process. Aluminium can be alloyed with chromium, copper, magnesium, manganese, scandium, silicon, silver, tin, titanium, zinc and zirconium. This wide range of alloying produces different grades of metal each with different properties. Promising properties includes reduction in stress corrosion susceptibility, improving of toughness, strength and hardness, improving of strength without a decrease in ductility, good weldability, increase in tensile strength, elimination of hot cracking in welds, decrease in electrical conductivity and reduction in quench-sensitivity. However, the discrepancy of the material property and behaviour of aluminium was found to vary with different sources (Sielski, 2007). The differences come as a result of different standards used for determining yield strength. Some tests were done using a 50-mm gage length that measures only weld metal and heat-affected zone, and other tests use a 250-mm gage length sample that includes the base metal. Shown in the following is one such example of aluminiums yield strength discrepancy. Table (1), extracted from (Sielski, 2007). 1.2.2 Disadvantages of aluminium as a shipbuilding material Like any other material, aluminium also has its drawbacks. The two most important properties of a material are perhaps its yield strength and modulus of elasticity, a structure will be designed with considerations around the two properties to ensure that it is able to withstand a given load without exceeding certain permissible deflections and stress level, where the stress level is equal to the yield stress divided by a factor of safety. Albeit aluminium alloy has a high strength-to-weight ratio, it is to be noted that for every strong aluminium alloy in terms of yield strength, there is a stronger structural steel available. In terms of Modulus of Elasticity, which is the measure of stiffness of a material, aluminium and steel measures at 69 GPa and 200 GPa respectively. Since aluminiums stiffness is only a third of steel, it will likely be deformed three times more easily than steel if put under high strain. Therefore the use of aluminium alloy is generally only limited to vessels of up to 130 meters in length (Ship Structure Committee, 2008); the longer the vessel the more stiffening is required, until a point of impracticability. The figure below illustrates the undefined yield strength of an aluminium alloy as compared to mild steel. It is important to note that for aluminium, normally 0.2% strain limit or proof stress is used for design purposes. Yield Strength of Steel and Aluminium Figure (1), graph taken from (http://aluminium.matter.org.uk/content/html/eng/default.asp?catid=217pageid=2144417131) Another consideration is the low melting point of aluminium. As a naval vessel will likely be subjected to on-board fire if it comes under attack, the loss of mechanical properties of aluminium when temperature exceeds 200ËÅ ¡C (Ferraris, 2005) is unfavourable. Some classification societies and navies do not permit the use of aluminium for structural applications. While DnV, ABS and RINA permit the use of light alloy and AA5xxx series, Lloyds register does not. Brown (1999) noted that the cost of aluminium is roughly five times the cost of steel. Though it may be feasible to replace structural steel with aluminium alloy in view of the latters weight-saving and corrosion resistance properties, but it might not necessarily be economical. Table (2) Current Methods To determine the applicability of aluminium in naval vessels, it is important to look at the current aluminium technology available. The manufacturing and production process for aluminium is relatively new. Aluminium welding like the FSW process was invented just two decades ago at the Welding Institute in the UK. For aluminium usages to be feasible for large scale production of naval vessels, then the overall productivity must be improved. Such can be achieved through the application of aluminium extrusion and FSW as these methods offer significant cost savings (Collette et al., 2008). The existing studies on the reliability of aluminium stiffened panels can also give a clear idea of some of the impacts of aluminium usage. 1.3.1 Aluminium extrusions Adding to the advantages of using aluminium is its ability to be extruded. Extrusion can allow complex design of stiffeners to be produced which can, if used appropriately; reduce the effect of stresses experienced in the mid-ship region due to hull girder bending. Collette et al. (2008) researched on the ultimate strength and optimization of aluminium extrusions. Extrusion allows a designer to replace conventional welded plates or stiffeners with extruded profiles of varying thicknesses and it can be used on decks and side shells, places with large amount of area for an increase in weight savings. This method effectively reduces the number of welds to be performed and also reduces the complexity of the overall design of the structure. The study examined three different types of extruded stiffeners, the conventional T type, the sandwich type and the hat type for use on board a high-speed vessel. The performance of all three types was found to be similar, and the study concluded that the panel should be selected based on considerations rather than which has the best strength to weight ratio. Such considerations may include cost, ease of construction and material fatigue. In the figure below, the joining of conventional plate to the stiffener requires welding while for the extruded panel, both the plate and stiffener is extruded as a single unit. Sectional view of Aluminium Extrusion panels Figure (2) 1.3.2 MIG and FSW welding To consider the feasibility of using aluminium in shipbuilding, it is important to look at aluminiums weldability. Metal-Inert-Gas (MIG) welding, a subtype of Gas-Metal-Arc-Welding (GMAW) is the earliest form of welding for aluminium plates. In the 1950-60s, further developments gave more versatility which resulted in a highly used industrial process nowadays. Until recently, a new and better method of aluminium welding is invented, namely the Friction-Stir-Welding (FSW). FSW is a new concept of welding where the metal is not melted for the joining process so that the mechanical properties remain unaltered as much as possible. The join between the two plates is then softened for the metal to fuse using mechanical pressure. Kulekci (2010) notes that the FSW increases tensile, impact, and fatigue strength of the welded joint as compared to MIG process. Less hardness change and a narrower heat-affected zone can be expected in the welded material as less heat is produced from the FSW process. Higher heat intensity from the MIG process can damage the mechanical properties of aluminium. By using FSW, production rate and quality will increase and production costs will decrease. Friction-Stir Welding Process Figure (3), pictures from (http://www.fpe.co.uk/processes/friction-stir-welding) 1.3.3 Heat-Affected Zone Mahoney et al. (1998) researched on the FSW process induced Heat-affected zone (HAZ) of the 7075 T-651 aluminium alloy. A series of tensile tests both longitudinal and transverse to the weld produced results that showed the weakest region is at the lower temperature location within 7 to 8mm from the edge of the weld area. While the average weldable aluminium alloy displays a 30 to 60% reduction in yield and ultimate strength, the loss in ultimate strength of FSW aluminium alloy is only around 25% and the yield strength at the HAZ is about 45% less than the base metal. 1.3.4 Strength and reliability in aluminium stiffened panels Benson, Downes and Dow (2009) note that as aluminium alloy is an established structural material in the shipbuilding industry for high speed crafts and naval vessels, the analysis for large high speed craft operating in ocean environments have since developed rigorous methodologies for the evaluation of ultimate strength in the hull girder. The fast increase in capacity and size of aluminium vessels has led to the demand in new engineering tools and solutions to effectively analyse the structural performance of these vessels. One of it could be the analysis on the ultimate and fatigue strength of aluminium stiffened panels. The ultimate and fatigue strength of the panels can be predicted by using the Reliability method, which consists of firstly using limit state equations to determine when the structural member has failed. Secondly, to determine the average value and the collection of random variables distribution in the limit state equation. Then the final step is to estimate the probability of a failure. Collette (2005) researched that in the Stress-life or S-N fatigue approach, the fatigue life of a material is determined by applying continuously a varying load of constant amplitude until a crack is observed. However the main drawback is that it is not able to give feedback on the seriousness or the size of the crack. That is where the Initial-propagation of I-P method proved to be more useful. The main difference between both is that when the crack starts to form in the material, I-P method can estimate the growth using a fracture mechanics model. 1.3.5 All-aluminium naval ship With all the existing technologies and methods available for aluminium shipbuilding, aluminium has the potential to replace steel in the future as the main ship construction material. Lamb and Beavers (2010) studied on the significance of an all-aluminium naval ship. It proposes two types of aluminium frigate, one with a reduced draft, the other an aluminium equivalent of a steel frigate, with identical draft and similar in weight. Aluminium ship with a reduced draft can allow for a reduction of block coefficient, thereby reducing resistance and increasing speed. With a finer hull, less power is required for propulsion, in turn cutting costs during operation. The authors went on to conduct an analysis of steel and aluminium equivalent naval vessel design focusing on the acquisition and ownership costs. The findings showed that an aluminium ship can be constructed with just 7.5% of the cost of an equivalent steel ship even though 50% more labour hours are required for construction of the aluminium ship. The authors highlighted that this is possible due to the overwhelming benefits of aluminiums significantly lighter weight. Aluminium ship was also found to have operational and ownership cost advantages. Furthermore, advancement of aluminium technology in manufacturing process and design methods has closed the gap between steel and aluminium acquisition costs which in some cases, shipyards are producing aluminium structures more cost effectively than equivalent steel structures. 1.3.6 Hull-superstructure interaction One of the important factors to consider when designing a naval vessel is its hull-superstructure interaction. With the aid of structural analysis software MAESTRO, Hughes and Jeom (2010) determined that Hull-Superstructure Interaction is a very complex study that can only be visualised effectively through 3D finite element model, rather than an inadequate beam theory. The vertical center of gravity for any naval vessel is critical, therefore it is important to keep the center of gravity as low as possible, either by reducing the size or using a lighter material in the superstructure. Another important thing to note of Hull-Superstructure Interaction is the superstructure continuity with the ship side. A superstructure will participate substantially in hull girder bending in vertical continuation with the ship sides if the superstructure is long and continuous. It will undergo the same bending radius as the hull. If the superstructure rises from the same plane as that of the ship sides, then the bending will be maximal. To exclude the superstructure from any hull girder bending, it is possible to do so through offsetting it from the side sides. If superstructure is not in line with the ship sides, due to the flexibility of the deck beams, the sides of the superstructure can be subjected to a much larger radius of curvature. In the case of such design, then an intermediate transverse bulkhead must be included in amid-ship for the purpose of terminating excessive cyclic deflections and stresses in the deck structure. The above are especially critical as a design consideration with regards to naval vessels. To further complicate matters; in a naval vessel, the amid-ship portion is used for RAS operation, or Replenishment At Sea. RAS operations are very difficult manoeuvres to execute; and it has to take place in amid-ship due to the heavier pitching motions of the vessel at both ends. In addition to that, RAS operations also require a large open deck area on both sides of the vessel. This means a reduction in the size, or width of the superstructure in amid-ship, precisely the area which experiences the largest hull girder bending. 1.3.7 Fatigue-induced cracking In the case of an aluminium superstructure, the fatigue experienced will be even greater than for an equivalent steel superstructure (Grabovac et al., 1999). The cases of similar Royal Australian Navy FFG-7 class frigates which experienced fatigue-induced cracking in the aluminium superstructure were caused by a combination of applied cyclic stresses and stress concentration interacting with a region of material weakness. This problem of fatigue-induced cracking has surfaced in almost all ships of this class. The vessel has a continuous aluminium superstructure welded atop a steel hull, which is prone to a substantial amount of hull-girder bending (Hughes and Jeom, 2010). This further reflects on how the Hull-Superstructure Interaction can affect a vessel. In the case of their study, composite material is then chosen for repairing of the cracked region by adhesive bonding, which proved to be working later on with subsequent series of assessments. Methodology Lamb and Beavers (2010) introduced three types of ship for their study, the baseline steel, the aluminium reduced draft and the aluminium reduced block coefficient ship for comparison. The aluminium reduced block coefficient has the same draft as the baseline steel ship but its block coefficient is much lower than the other aluminium ship. The authors designed a 10m long mid-ship section of a naval vessel and then derived the scantlings using the ABS High Speed Naval Craft Rules. The scantlings include steel, aluminium and aluminium extrusion. Subsequently, bending moment and stress calculations were performed and the results shown were much less than the design stress of 23.5 t/cm ² for steel and 12.4 t/cm ² for aluminium. Reasons for the huge differences were given that most of the plating is based on allowable minimum thickness rather than that derived from the formulas. 1.4.1 Linear Stress Analysis The structural study in the present paper will adopt the Linear Stress Analysis method. Similar to the work of Lamb and Beavers (2010), the material behaviour in this study will only be looked at in the elastic range. In the Linear Stress Analysis, the stress is assumed to be directly proportional to the strain and the structural deformations are proportional to the load. Shown below is the stress-strain graph of a material, where the limit of proportionality is the limit of the Linear Stress Analysis. Considerations will not be made for the behaviour after the limit of proportionality. Where (C) is the proof stress of the material. Stress-strain graph Figure (4), graph taken from (http://www.sr.bham.ac.uk/xmm/structures3.html) In the case of Non-linear Stress Analysis, problems are solved by applying the load slowly, and then take account of the deflection with each increment. Stresses will be updated with each increment until the full load is applied. A more complex Non-linear FEA requires iterations for equilibrium with each increment; hence it is a computationally expensive approach. 1.5 Discussion Aluminium usage in naval shipbuilding has been increasing steadily over the years as shown in the literature above. Commercial and merchant aluminium vessels were built with different purposes and intentions in mind, some built for an increase in speed, some for more capacity and some simply for costs saving. In the case of naval ships however, they share more similarities. Common objectives would be an increase in speed and payload, if not for a reduction in draft. It is therefore important to understand what different aluminium alloys can offer for different specific function of the ship. Aluminium alloy as mentioned earlier was found to have some discrepancies among various authorities; this might be due to the poor definition of aluminiums yield strength due to the nature of its properties. Nonetheless, aluminiums yield strength will be taken as 0.2% of its strain limit. Designing an all-aluminium vessel of a 130m in length is an inherently complex task, and the strongest design, most up-to-date methods of production and manufacturing must be adopted to reduce the risk of a structural failure. Due to the nature of the method employed in this paper, where a standard steel hull will be replaced by an aluminium equivalent, it is important to consider the application of aluminium extrusion as a more effective way to increase the stiffness of the hull to ensure no deformation takes place prematurely. As fatigue-induced stresses was found on almost all of the FFG-7 class frigates, there is a need to study the hull-superstructure interaction of the vessel and understand the effects if applied on an all-aluminium vessel. Among the past studies, few have made comparison between a steel ship and an aluminium ship. One notable work is from Lamb and Beavers (2010), which based their calculations on a hypothesised frigate. This present paper differentiates from that in a way that it looks at the differences between the two materials if used on an existing vessel. For a ship that already has an optimum hull form, and re-designing it would be irrelevant due to specific mission capabilities, it will be useful to adopt this approach. Another way to look at it is that certain navies might prefer to build an aluminium equivalent of a steel Off-the-Shelf (OTS) ship like the FFG-7 which has proven to be a cheap and seaworthy ship, than to completely redesign an entire vessel. The design process of a new naval vessel can take up to several years. Apart from that, the past research of the all-aluminium ship with its cost and feasibility study was found to be outdated and non-applicable to the present year. The present research will provide an up to date costs comparison between steel and aluminium, inclusive of costs incurred in the welding process, and with the additional consideration for aluminium extrusions. Also critical will be the consideration of the various methods of welding. It is important to note that there are limitations within this feasibility study. The Linear Stress Analysis method adopted is only accurate to a certain extent and Non-linear Stress Analysis method should be adopted for any future work in this topic. Also, there are considerations which will not be covered in this feasibility study. Factors such as the lack of infrastructure for aluminium naval shipbuilding in terms of aluminium workshops and supply of aluminium panels will not be considered. Limitations may also include the lack of skilled workers and expertise in aluminium manufacturing and ship production. 1.6 Aims and Objectives In short, the purpose of this paper is to study the feasibility of using aluminium as a naval shipbuilding material. To achieve that, it is necessary to include the common shipbuilding material, steel, for comparison. This paper aims to give a clearer comparison, in terms of designs, methods used, costs incurred and production time of the two ships. The US Navy FFG-7 class frigate will be used as a base ship. Designed in the mid-1970s by Bath Iron Works and partner Gibbs Cox, FFG-7 frigate is intended to serve as an inexpensive escort ship. Its area of operations includes protecting merchant convoys, replenish groups, landing forces, submarines and carrier battle groups; also performing anti-submarine warfare or surface action. The frigate has a steel hull with an aluminium superstructure intended for weight saving. The overall bending stress characteristics in the mid-ship section of the frigate will be presented through load, buoyancy, shear force and bending moment calculations; one with steel hull and the other, a hypothesised aluminium hull of the same dimensions. Essentially, constraining the dimensions of the hull for an aluminium equivalent will result in an increase in plate thickness due to the reduction in the section moduli of aluminium. An alternative could be the increase in the number of stiffeners to be used and ultimately, the final design of the aluminium equivalent mid-ship section should include both methods for a section modulus increment. The results produced should show that an aluminium hull would still be sufficient in terms of section modulus to keep the maximum bending stress values under the design stress of the frigate, at 131.75 N/mm ² (Ship Structure Committee, 2002). All calculations in the present structural analysis will be based upon the linear elastic region of the materials only. Through the study on a mid-ship section, it can provide an idea of the stress characteristics of the entire vessel as the maximum bending moment will usually takes place in that region. Finite Element Analysis software MAESTRO will be used to model a mid-ship section of the naval vessel and give a better understanding of the structural stresses acting on the aluminium hull. The paper will go on further to present the costs relating to the two ships, in terms of acquisition, productivity and ownership of the vessels with respect to the current steel and aluminium prices. The results from the study will be analysed and discussed, after that the conclusion will be drawn accordingly.