Differences Between Spanish and English Verb Tenses

Differences Between Spanish and English Verb Tenses Spanish speakers and English speakers think of their verb tenses in much the same way: The present tense of English functions much like the present tense of Spanish, and the same can be said of other tenses. But there are some differences youll come across as you get past the beginners level of Spanish. Here are some of the most significant ones: Using the Present Tense to Discuss the Future It is possible in both languages to discuss the future while using a present tense, but you can do so more flexibly in English. In English, you can use either the simple present or the present progressive to refer to the future. For example, you could say either The bus arrives at 2 or The bus is arriving at 2. In Spanish, however, you must use the simple present: El bus llega a las dos. (The bus arrives at 2)La pelà ­cula comienza a las 8:45. (The film begins at 8:45.) The present progressive in Spanish suggests that something is happening now. El bus est llegando means something like The bus is in the process of arriving, so it doesnt make sense to add a future time element. You could also use the future tense in either language for these situations. Using the Present Tense for What Is Happening Now In both languages, the simple present is used to refer to something that happens continuously, regularly, or repeatedly. Thus Los elefantes comen raà ­ces can mean Elephants eat roots, and Hago muchos errores can mean I make many mistakes. In Spanish but not English, however, the simple present can also be used to refer to something that is happening now, a concept that in English is expressed using the present progressive. Thus Los elefantes comen raà ­ces can also mean The elephants are eating roots, and Hago muchos errores can also mean I am making many mistakes. To determine what the Spanish means, you need to look at the context. You could also use the present progressive in Spanish to indicate that something is happening now (such as Los elefantes estn comiendo raà ­ces), but that verb form isnt used nearly as much in Spanish as in English. Tense for Activities That Continue The idiom in Spanish for indicating when an activity began is hace time period, the equivalent of ago in English. If the event is completed, both languages use the preterite: Comimos hace dos horas. (We ate two hours ago.)Viajaron a Madrid. (They traveled to Madrid.) If the action is still continuing, however, Spanish typically uses the phrase hace time period que followed by a simple present-tense verb, while English usually uses a have or has verb form followed by for and the time period: Hace dos aà ±os que vivo con à ©l. (I have been living with him for two years.)Hace 36 horas que Roberta est aquà ­. (Roberta has been here for 36 hours.) Using the Future Tense for Likelihood Although the future tense in both languages is mostly used to indicate what will happen, in Spanish it can also be used to indicate that something seems probable. There is no English equivalent to this suppositional future based on verb tense: Guillermo estar en casa. (Guillermo is probably at home.) ¡Ser la verdad! (It must be true!) In a question, the suppositional future is often used to express lack of knowledge or wondering:  ¿Dà ³nde estar Catalina? (Where could Catalina be?) ¿Quà © ser eso? (What could that be?) Tense and the Beginning of Actions In Spanish, use of the preterite tense rather than the imperfect tense can indicate when the verbs action began. English may use a different word or sentence structure rather than tense to convey the same thing. For example, conocer often refers to knowing someone. To say you knew someone, youd use the imperfect in Spanish but the preterite in English: Yo conocà ­a a Gabriela. (I knew Gabriela). Using the preterite in Spanish would usually be understood as referring to when the knowing began: Conocà ­ a Gabriela. (I met Gabriela.) In this way, the choice of verb tense can affect how a Spanish verb is translated to English: Sabà ­a nadar. (I knew how to swim.)Supe nadar. (I knew I had to swim.) Regional Differences for the Present Perfect In both languages, the present perfect can refer to events that happened at some unspecified time in the past: Hemos identificado los problemas. (We have identified the problems.)Ha estudiado para ser actriz. (She has studied to be an actress.) But in some areas, especially Spain, the Spanish present perfect is used primarily to refer to events that occurred in the very recent past. Hace un minuto he llamado a mi madre. (A minute ago I called my mother.) ¡Mi perro se ha comido el collar antiparasitario! (My dog just hate his antiparasite collar!) But in other areas, the preterite or some construction other than the present perfect would be preferred: Hace un minuto llamà © a mi madre. (A minute ago I called my mother.) ¡Mi perro se acaba de comer el collar antiparasitario! (My dog just hate his antiparasite collar!)

French Accent Homographs

French Accent Homographs You may not realize it, but French accents have a purpose. While some accents just signify that an S used to follow that vowel in Old French (e.g., à ©tudiant used to be spelled estudiant), most French accents indicate the correct pronunciation of the letter they modify. In addition, there are dozens of French word pairs which are spelled (though not always pronounced) the same other than accents. To avoid confusion, you should always distinguish between these words by using the correct accents. Note: It is grammatically acceptable to leave accents off capital letters. However, since missing accents may cause confusion in pronunciation and meaning and are technically spelling mistakes, I feel that one should always write with accents. a - third person singular of avoir (to have) - (preposition) to, at, inacre - acreà ¢cre - (adjective) acrid, pungentà ¢ge - ageà ¢gà © - (adjective) oldaie - first person singular subjunctive and second person singular imperative of avoiraà ¯e - (interjection) oucharrià ©rà © - (adjective) overdue, backward; (noun) backlog, arrearsarrià ¨re - back, stern, rear, aftbronze - bronze objectbronzà © - past participle of bronzer (to tan, bronze)à §a - (indefinite demonstrative pronoun) that, ità § et l - here and therecolle - gluecollà © - past participle of coller (to glue)congres - eelscongrà ¨s - conference, congresscote - quotation, quoted value, ratingcotà © - highly thought of / rated (past participle of cà ´ter)cà ´te - rib, slope, coastlinecà ´tà © - sidecrà ªpe - crepe (thin pancake), crepe papercrà ªpà © - past participle of crà ªper (to backcomb, crimp)cure - cure, treatmentcurà © - priest; past participle of curer (to clean out)de - (preposition) of, fr omdà © - thimble, diedes - (indefinite article, partitive article) some; contraction of de lesdà ¨s - (preposition) fromdiffà ©rent - differentdiffà ¨rent - third person plural conjugation of diffà ©rer (to differ)du - contraction of de ledà » - past participle of devoir (to have to)-e vs à ©At the end of -er verbs, the accent is the difference between the first and third person singular present tense and the past participle-e - à ©tudie, parle, visite-à © - à ©tudià ©, parlà ©, visità ©entre - (preposition) betweenentrà © - past participle of entrer (to enter)es - second person singular of à ªtre (to be)à ¨s - contraction of en lesà ªtes - second person plural of à ªtreà ©tà ©s - summerseut - third person singular passà © simple of avoireà »t - third person singular imperfect subjunctive of avoirferme - farmfermà © - past participle of fermer (to close)fut - third person singular passà © simple of à ªtrefà »t - third person singular imperfect subjuncti ve of à ªtre gà ¨ne - genegà ªne - trouble, bother, embarrassmentgà ªnà © - (adjective) short of, embarrassed; past participle of gà ªner (to bother) grade - rank, degreegradà © - officerhaler - to haul inhà ¢ler - to tanillustre - illustrious, renownedillustrà © - illustratedinfecte - (fem adjective) revolting, filthy, obnoxiousinfectà © - infected, contaminatedinterne (adj) internal, inner; (noun) boarder, interninternà © - inmate (of a mental hospital), internee (politics)jeune - (adjective) youngjeà »ne - fastingjuge - judgejugà © - past participle of juger (to judge)la - (definite article) the; (direct object pronoun) her, itl - (adverb) therelevà © - survey; past participle of lever (to lift, raise)là ¨ve - first and third person singular of lever (applies to many stem-changing verbs)liquide - liquidliquidà © - past participle of liquider (to settle, pay; to liquidate, sell off; [inf] to finish off)mais - (conjunction) butmaà ¯s - cornmarche - walking, step, stairmarchà © - market; past participle of marcher (to walk, march; to work)masse - massmassà © - past participle of masser (to assemble, mass, group)mat - checkmate; (adjective) matte, dullmà ¢t - mast, polemater - to subdue; (familiar) to ogle; to caulk; (familiar noun) mom, mummà ¢ter - to mastmà ©mà © - (baby talk) grannymà ªme - (adverb) samemeuble - piece of furnituremeublà © - (adjective) furnishedmodelà © - contours, relief; past participle of modeler (to model, shape, style, mold)modà ¨le - model, designmur - wallmà »r - (adjective) ripenotre - (possessive adjective) ournà ´tre - (possessive pronoun) oursnuance - shade, hue, slight difference, nuancenuancà © - (adjective) qualified, balanced, nuanced; past participle of nuancer (to shade, qualify, nuance)ou - (conjunction) oroà ¹ - (adverb) wherepà ¢te - pastry, paste; pà ¢tes - pastpà ¢tà © - pà ¢tà ©pà ©chà © - past participle of pà ©cherpà ªche - peach, fishingpà ©cher - to sinpà ªcher - to fishpà ©cheur - sinnerpà ªcheur - fishermanprà ªte - (feminine adjective) readyprà ªtà © - past participle of prà ªter (to lend)rate - spleenratà © - past participle of rater (to fail, miss)relà ¢che - rest, respiterelà ¢chà © - loose, laxreste - rest, leftoverrestà © - past participle of rester (to stay)retraite - retreat, retirementretraità © - retired person; past participle of retraiter (to reprocess)rot - belch, burprà ´t - (archaic) roastroue - wheelrouà © - (adj) cunning, sly; un rouà © - cunning/sly person; past participle of rouer (to beat/thrash)roule - first and third person singular of rouler (to wheel/roll along)roulà © - curved, rolledsale - dirtysalà © - saltysinistre (adj) gloomy, sinister; (m noun) accident, disaster, damagesinistrà © (adj) stricken, devastated; (m noun) disaster victimsublime - sublimesublimà © - sublimatedsuicide - act of suicidesuicidà © - victim of suicidesur - (preposition) onsà »r - (adjective) suretache - mark, spot, staintà ¢che - taskvalide - able-bodied, fit, validvalidà © - validatedvide - emptyvidà © - worn out; past participle of vider (to empty; to wear out)votre - (poss essive adjective) yourvà ´tre - (possessive pronoun) yours

HCM337-0704B-01 Current Legal, Ethical, and Regulatory Issues in H - Essay - 1

HCM337-0704B-01 Current Legal, Ethical, and Regulatory Issues in H - Phase 1 Discussion Board 2 - Essay Example This paper describes the different laws and regulation concerning treatment and handle of patient’s medical records. There are various agencies, regulation and laws from the governmental and private sector that protect the integrity and privacy of medical records. The HIPPA regulation is a statute that protects the medical information of patients. HIPPA establishes a minimum standard for care of medical information which requires covered entities to evaluate their practices and enhance safeguards as needed in hospital settings to limit unnecessary or inappropriate access to and disclosure of protected health information (Hss, 2003). An organization that protects and regulates the handle of medical records of patients is AHIMA. The AHIMA is non-profit organization founded in 1928 dedicated to helping protect the health care information of people by provided professionals in the field with guidelines on how to realize the critical function of protecting medical record information (Myphr, 2007). Health care facilities provide patients with a document called the Noticy of Privacy Practice. This document tells the patient in how the medical record information of the patient will be utilized by the health care facility (Myphr, 2007). Patient’s right to have access to their medical records is protected by the Access to Medical Reports Act of 1988 (AMRA). The AMRA gives the right to the patient of obtaining their medical record for employment and insurance purposes. The person applying for the medical record must signed off a consent form before the information is released according to AMRA (Legalandgeneral, 2007). The Civil Rights and Liberty Union is an organization that is a supporter of medical rights privacy. The organization is a supporter, protector and representative voice of citizens which fight on a political level in congress to protect the privacy of medical records of US citizens

Research of self-defence case Paper Example | Topics and Well Written Essays - 750 words

Of self-defence case - Research Paper Example The government view is that, after Belcher confronted Suber, he went ahead, retrieved a gun from Brown and began shooting Suber with no excuse. the state affirms that the killing has to be unlawful and thus instructs the jury that the malice be inferred for the use of the deadly weapon (California Center for Research and Education in Government 86). The states stress that courts have been bestowed powers to settle fixtures in the criminal systems of the company. 2) What is the prosecutor's point of view? From the prosecutor’s point of view, Belcher is guilty and has two counts of charges to answer. One of the charges is that Belcher committed murder while the second one is the possession of the illegal firearm. The prosecutor finds sufficient evidence to believe that Belcher committed the heinous act, it is for this reason that the prosecutor instructs the jury to convict Belcher for murder and the illegal possession of the firearm. The prosecutor refers the charges with respe ct to Belcher’s murder reiterating that his act contravenes the state law regarding human conduct. According to the prosecutor, Murder is the unlawful killing with malice, which may be inferred by the deadly weapons or from the circumstances that may be proved by the state. According to the prosecutor, the law presumes malice from the homicide and therefore Belcher is guilty of the offense. However, the prosecutor does not take the step of prosecuting Belcher. In his response to the judgment of the jury that warrants the jury to charge Belcher for murder and voluntary manslaughter, the prosecutor finds the inference of malice regarding the use of the deadly weapon as no longer being a good law in South Carolina. He therefore makes a ruling that Belcher’s convictions be reversed and remand for a new trial to begin. The prosecutor arrives at this verdict owing to the conflicting testimonies presented at the pretrial chamber. 3) What is the element of the crime? The eleme nts of the crime are the use of the deadly weapon and malice. However, the evidence of self-defense and malice are presented with respect to this case. The evidence of malice in this case is evidenced by Belcher’s use of handgun. It is however, perceived that the notion of charging malice by the use of the deadly weapon is harmless. This makes the case complicated. 4) What is the issue inference, Mens Rea, Actus Res, or Presumptuous? The issue inference here is the Suber’s murder subject to malice. Belcher portrays the Actus reas in his submission of evidence when he states that, his decision to shoot Suber was an attempt to defend him (West Publishing Company 270). The evidence provided is presumptuous and thus fail to catch the prosecutor’s admissibility. It is therefore, upon the jury’s decision to make valid ruling regarding the pursuance of justice. It is important to note that presumption is not applicable when the circumstances and facts related to the homicide are disclosed in evidence in a manner that it draws a conclusion of malice. Presumptions are used as substitutes when theirs is a lack of direct proof. In Belcher’s case, presumption is employed owing to lack of sufficient evidence. 5) What was the previous Law? It emerges that the prosecution embraced the Bishop criminal law previously. Subject to this law, the inference of malice was drawn from the use of deadly weapons especially in the act of

The dramatic significance Essay Example for Free

The dramatic significance Essay Although in the previous act we were briefly introduced to the characters, their statuses were made clearer than their personalities which are conveyed in further depth in this scene. Prosperos story told to Miranda gives the audience a grasp of the identities of the people on stage in relation to him and why he may want them on the island in the certain groups, which is imperative if the audience is to understand the motives behind the characters actions both beforehand and presently. This is shown in the conversation between Antonio and Sebastian, as we were made aware of their crudeness and selfishness in the first scene, but it is only now that the relationship between them is conveyed. This is depicted by the continuation of each others jokes, and the similar way in which they view the situation: ADRIAN: The air breathes upon us here most sweetly. SEBASTIAN: As if it had lungs and rotten ones. ANTONIO: Or astwere perfumed by a fen. The motive of Antonios subjugation over his brother is also explained sub-textually. Shakespeare never states specifically, but it is suggested towards the end of this scene when Antonios pure ambition and lack of conscience is expressed. The audience could have believed that he had honest intention beforehand, as maybe he took Prosperos position as he was neglecting his duty, but this scene proves differently. Although him and Sebastian both share the same sardonic cynicism, with Antonio it conceals an underlying cunning and manipulative nature, unseen and unheard of formerly. O, If you but knew how you the purpose cherish Whiles thus you mock it! Sebastian on the other hand, displays a weaker disposition and so Antonio grasps the opportunity to use this to his advantage and use him for his own personal gain, giving an element of suspense to this scene as the act is not completed. It is important that each scene has a certain element of this, as if it seems that nothing is to happen, the audience will loose interest. Antonio has not changed at all from 12 years ago when we were first informed of him, unlike Alonso.

Why Evolution is True, by Jerry A. Coyne Essay -- Why Evolution is Tr

Why Evolution is True is a book by Jerry A. Coyne about how modern man slowly evolved from single cell organisms. This book has changed my whole perspective of evolution. Before I read this book I was a strong believer in creation but while reading this book I realized that there are to many connections between all of earths animals. I am unable see a scenario where we could share so much of our genes with other creatures and still say that we did not evolve from other animals and were just created by a god. What is evolution? Evolution in modern terms is fairly easy to understand. Evolution is the theory that life on earth began with a single celled organism that lived more that 3.5 billion years ago that slowly evolved into many diverse creatures over time. When you break down this theory into sections you get 6 factors: evolution, gradualism, speciation, common ancestry, natural selection and nonselective mechanisms of evolutionary change. The first part of the evolution theory is evolution itself. Evolution itself is the idea that a species undergoes a genetic change over time to evolve into something that is very different. These differences are seen in our DNA and are considered mutations at first but slowly become the norm. The second part of the theory of evolution is gradualism. Gradualism is the idea that it takes many generations to produce a substantial evolutionary change. An example of this change is birds gaining the ability to fly. The third part of the evolution theory is speciation. Speciation means that different groups of creatures that cannot exchange genes with one another cannot interbreed with one another. The fourth part of the evolution theory is common ancestry. Common ancestry is the... ...ion is very minor. Chapter nine is Evolution Redux. Creationists find evolution very convincing but at the same time they still don’t believe it. There is no lack of evidence that points toward evolution being the truth. Every day there is hundreds of observations and experiments that point to evolution being true. Every fossil and piece of DNA observed points to evolution being a fact. The evidence point to evolution being true is so overwhelming it is hard to believe people still believe in a creator. Evolution is neither moral nor immoral it is just the truth. Once people understand that we are the only creatures that natural selection has created with a brain complex large enough to understand the laws that govern the universe, which is the amazing product of evolution. Works Cited Coyne, Jerry A. Why Evolution Is True. New York: Viking, 2009. Print.

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

An introduction to working with children Essay

Nurseries provide care and education for children under the age of five in my area by offering free learning and play sessions which take place in the mornings and afternoons. Instead of a nursery just being a place where your child plays, a nursery provides education by qualified staff and professionals who encourage a child to learn as well a play while still providing care. Holiday play schemes is a place where children over the age of five go and can participate in various different types of activities which are both educational and play sessions, the activities range from reading books and watching educational programmes/videos/DVD’s to children playing on game consoles. ‘The room is divided into areas of various types of play experiences. These areas include, large and small construction sets, imaginative play – dressing ups, home corner, mark making, Hama beads, dance mats, games machines, pool table, small world, football table. We also have two adjoining areas where children can access messy/art and craft activities and relax in the quiet area, reading books or watching various videos/DVD’s.’ http://brightbeginningschildcare.co.uk/playscheme 11.11.11 A Child-minder is a person who looks after a parents children in their own home, child-minders usually look after children under the age of five, they provide care and education by helping the child with school work such as homework, participating in educational games or activities with them or generally playing games with them, baking or watching programmes with them. Nurseries aim to support children and their families by building a strong partnership with parents/careers because the setting and the child’s guardian want what is best, and for the child to achieve. If a nursery did not have a good relationship with parents/careers then there isn’t any trust or respect so if an issue is raised for example the child is underachieving and the nursery thought it is best for that child to receive additional support, a parent/career could take offence to it and then the situation could escalate. But if the nursery had a good positive relationship with parents and careers then a discussion could take place about the child receiving additional support, because it is important that you include the parent or career in discussions about their child otherwise they could feel that they are not valued or respected, and it is also their right to make decisions about their child, so if a nursery overlooked a parent or career regarding a situation wi th their child the parent or career could feel disrespected. ‘It recognises that parents and carers need to be fully involved in discussions about their child’s additional support needs. Where necessary, they should be given support by their school or nursery to take part in meetings and be included fully in decisions that affect their child. Establishments and parents/carers may not always agree on what is in the best interest of the child, but by developing good relationships, and through good communication, it is expected that most problems and disagreements will be solved at school/nursery level.’ http://www.clacksweb.org.uk/learning/aslfamilies/ 18.11.11 Holiday play schemes offer children a wide range of different activities from rock climbing to extra-curricular lessons such as additional english, maths or science, but the way these extra-curricular lessons are integrated into the activities do not seem like they are lessons, but the children are subconsciously learning new things which would help them throughout school because they can relate back to these activities. This supports children because they are providing a safe and secure place where they can come and be happy, make new friends and learn new skills and play schemes provide for all children so every child is included, they are also supporting the child by teaching them new things or helping them with specific work by integrating it into an activity. Holiday play schemes support families by ensuring their child is in a safe, stimulating learning environment while they are unable to look after the child because they are at work etc. Play workers also can pick the child up from their school so the parent/career will not have to worry about transport for the child. ‘Holiday play schemes are run by play workers. Play workers are responsible for planning activities to help children learn, play and relax with their friends. Play workers will often pick up children from local schools.’ http://www.youngsouthampton.org/parentsandcarers/childcare-schoolaged/holiday -play-schemes.asp 12.12.11 Child-minders aim to support children and their families by providing a safe and stimulating for the child/children they are caring for, child-minders mainly care for a child in a domestic environment such as the child’s home. Child-minders become a valued member of a family because they pay such a big role in the child’s life. A child-minder usually takes the child on day trips to museums or animal parks such as zoo’s, they are usually educational day trips where the child can learn something. Arranging stimulating and therapeutic learning activities such as finger painting, cooking, reading, dress-up games or even celebrating cultural events which could include making Christmas or Eid cards or creating their own Easter egg. All these activities support children because they are learning new skills which they will need in life, they all acquire the child to use their fine and gross motor skills which will help them develop, and also their language and intellectual development. ‘They do this in a domestic setting (normally their own home) for payment†¦to ensure they provide a safe and stimulating environment for the children that they care for. Registered child-minders are usually self-employed and run their own business. Although every day will be different, a child-minder’s typical day may include: †¢visiting a park, museum, library or playgroup †¢arranging fun and stimulating learning activities, such as dressing-up, creative play, reading, and celebrating cultural events from around the world †¢providing meals and snacks for the children, involving them in food preparation and menu choices †¢taking children to and from school or clubs †¢working with other local child-minders to organise group activities.’ http://www.ncma.org.uk/childminders/become_a_childminder/what_childminders_do.aspx 12.12.11 The Human Rights Act 2000 This act ensures all children have a right to the protection of private and family life, this means in practice all children’s personal life is always kept private, this includes any information that is disclosed from parents or carers about a child, also anything that is revealed during placement. The right to education, this means that every single child has the right to have an education no matter of their race, gender, culture or background whether it is at a statutory or private sector. To discriminate against children because of their race, sex, culture, background etc is unlawful . ‘The enjoyment of the rights and freedoms set forth in this convention shall be secured without discrimination on any ground such as sex, race, colour, language, religion, political or other opinion, national or social origin, association with a national minority, property, birth or other status.’ http://www.elc.org.uk/pages/lawarticleshra.htm#14 16.12.11 These are some of the ri ghts that The Human Rights Act 2000 allows children to have, this legislation overall supports the rights of children because it ensures children have the right to equality, dignity and to be respected. The Special Educational Needs and Disability Act 2001 This act supports the rights of children because it states that it is unlawful for educational providers such as teachers to discriminate against pupils with a special educational disability or need. It influences working practices in the setting because if a teacher discriminated a child which was physically disabled and in a wheel chair by not making sure they had access to everything they needed, additional care, help or support then they could be prosecuted because it is against the law. The Equality Act 2010 This act supports the rights of children because it states the legal responsibilities of public sectors such as schools to provide equal opportunities for everyone. This act influences working practices in the setting by trying to ensure that everyone is treated equally no matter what ethnicity, gender, sexual orientation, religion etc. A staff member could not treat a child differently to the other children because of their religion, for example; during a seasonal period such as Christmas and the children are creating Christmas cards and one of the children is Muslim and their parents have asked the staff for their child not to take part in activities like that, the staff could not just isolate the child and give them nothing to do, the staff should either set a different piece of work of that child to do which does not involve Christmas activities or send them to a different class where they are doing a different activity so that child does not feel left out or isolated.

How to Use the German Personal Pronoun Es

How to Use the German Personal Pronoun Es The German personal pronoun es is the English equivalent of it and has similar functions. It is mostly a substitute for a noun and can: Act as a subject, therefore be in the nominative case.As a subject es can be placed either before or after the verb.Es donnert in der Ferne - It is thundering in the distance.In der Ferne donnert es.Act as an object, therefore be in the accusative case.Its position can sometimes be changed, either after the verb or after the subject.Das Fernsehen ist kaputt. Ich werde es morgen reparieren - The t.v. is broken. I will fix it tomorrow.Morgen werde ich es reparieren.But not changeable with the following sentence:Das Kind weint. Ich beruhige es - The child is crying. Im consoling him/her. See Personal Pronoun Chart for a listing of es in all cases. Es is used in daily conversation such as when describing the weather or stating the time. Es ​however, is used more often in German. Also, not only can the position of es be changed, it can even be eliminated, depending on its function.See the following functions of es, take note of the similarities with English, learn the differences and then practice with this exercise. Es Functions Similar To English: When describing the weather.Es schneit heute - It is snowing.Es hagelt sehr viel - It is hailing a lot.When describing time.Wie spt ist es? What time is it?Es ist viertel vor acht - It is a quarter to eight.When describing things.Es ist weich - It is soft.Es schmeckt gut - It tastes good.Describing smells/dynamics of noises.Es stinkt hier - It stinks here.Es duftet schà ¶n - It smells nice.Es ist laut - It is loud.Es ist sehr still jetzt - It is very still/quiet now.However more specific noise descriptions usually cant be translated with it, such as:Es rauscht draußen - Theres a rustling outside.Um Mitternacht gibt es immer ein Klopfen an meiner Tà ¼r - At midnight, there is always a knocking at my door.To introduce a general remark/statement:Es ist schwierig heutzutage Arbeit zu finden - It is difficult nowadays to find work.Es ist wichtig organisiert zu sein - It is important to be organized.Es stà ¶rt mich - It disturbs me.To introduce a subsequent subordinate clause:Ich f inde es schrecklich, dass sie nicht essen will - I find it awful that she does not want to eat.However, when that same clause is placed at the beginning of the sentence, es will no longer be used: Dass sie nicht essen will, finde ich schrecklich.

4 Punctuation Marks for Forming Appositive Phrases

4 Punctuation Marks for Forming Appositive Phrases 4 Punctuation Marks for Forming Appositive Phrases 4 Punctuation Marks for Forming Appositive Phrases By Mark Nichol An appositive phrase extends a sentence by adding more information in apposition (meaning â€Å"related to† or â€Å"juxtaposed with†) to a word or phrase preceding it. This post describes how to use each of four forms of punctuation to extend a sentence by adding an appositive phrase. 1. Colon A colon signals to the reader that what follows is an expansion or explanation of what precedes it: The colon is equivalent to an equals sign in mathematics. (The preceding statement is an example of expansion.) The traditional rule of capitalization after a colon is twofold: If the text that follows the colon as an expansion or explanation is a phrase or a single sentence, the first word of that passage should not have an initial capital letter. If the text is more extensive, the first word of each related sentence should be capitalized. (The preceding statement is an example of explanation.) This rule is not universally accepted, and I’m among the heretics: I prefer to initial-cap what follows a colon if it is a complete statement of one or more sentences, because I think that the distinction between incomplete and complete statements is more logical than the standard criterion. The colon also appositively signals that a quotation or a list follows, as in â€Å"This truth is universal: ‘Just because you can doesn’t mean you should’† and â€Å"I bought three tools: a hammer, a wrench, and a screwdriver.† (Read more about colons.) 2. Dash A dash can substitute for each of the other three punctuation marks described here; the choice is based on tone rather than sentence organization. A dash represents a sudden or abrupt shift it’s a dramatic device to set the reader up for a change of syntactical form or for a revelation or a punch line. A pair of dashes can be employed parenthetically, but that use does not apply to appositive phrases. (Read more about dashes and search the site for â€Å"em dashes† for more posts that discuss the topic.) 3. Ellipsis An ellipsis, a series of three dots that separate one part of a sentence from another (also known collectively as ellipses), indicates an intentional or unintentional pause caused by person being at a loss for words or hesitating because of some emotion such as doubt or fear or for dramatic effect. (Ellipses are often interspersed with letter spaces a more aesthetically pleasing style though some publications omit the spaces or use a single-character ellipsis.) When an ellipsis concludes a sentence, it represents faltering speech, and it marks omission of one or more words from quoted material, but these uses do not apply to appositive phrases. (Read more about ellipsis.) 4. Semicolon The semicolon is similar in name and appearance to the colon, but its function is unrelated; it serves as a weak period, as employed here, or as a strong comma, as shown in the next paragraph. In its weak-period guise, it marks the end of one statement and the beginning of another; however, it is appropriate in place of a period only if the second statement is closely related to or dependent on the first one. Note that when a semicolon appears in such a case, no coordinating conjunction (such as and or but) should follow it. (However, when the conjunctive adverb that begins this sentence, or others such as moreover or therefore, follows a semicolon, as occurs earlier in this paragraph, a comma should follow the word.) A strong-comma semicolon is one used in place of two or more commas when the elements in a run-in list are themselves lists, as in this sentence: â€Å"The three most frequent color schemes in flags are red, white, and blue; red and white; and, tied for third place, red, yellow, and green and red, white, and green.† (Note that not all list items must include internal punctuation.) Many writers are reluctant to use semicolons because they do not understand how to use the punctuation mark correctly or consider it overly formal, but its roles are simple and helpful. (Read more about semicolons.) Want to improve your English in five minutes a day? Get a subscription and start receiving our writing tips and exercises daily! Keep learning! Browse the Punctuation category, check our popular posts, or choose a related post below:12 Types of Language"Owing to" vs "Due to"15 Names and Descriptions of Effects

Organizational Culture and Team Effect Paper Assignment

Organizational Culture and Team Effect Paper - Assignment Example A culture may take a long period of time to develop, however, it is incorporated through consistent expectation and examples brought forth from the leading executives of the business organization, and its members of staff (Thompson, 2008). Furthermore, the culture of an organization will develop across different aspects of the operations of a company, and this includes the social behavior of the company (Martin, 2002). Social culture involves the manner in which employees of the business organization interact with one another. This is throughout their course of work or day. For example, there may be an existence of a common area that is preferable for conversations regarding topics that are outside of protocol or work (Ashkanasy, 2000). Employees of the organization may be the people responsible for developing this type of culture. As new people are brought in, they would try to adapt to the cultural practice that is in place, or introduce a different cultural perspective. This is fo r purposes of determining how they would interact with their fellow work mates. Therefore, organizational culture plays an important role in affecting the development, efficiency and effectiveness of a team within an organization. Leaders of an organization are responsible for developing the culture of an organization. This is through their experiences. Top managers of an organization will surround themselves with important members of a team (Lee, 2011). They would rely on these members to perform a variety of activities that supports the goals and beliefs of the organization (Dixon, 2000). It is possible to reflect this culture to any activity of the organization, i.e. the office dà ©cor, cubicles that separate the work place of an individual, the method of communication between employees, work place eating habit, etc. The details of this kind of a culture may become evident, based on the style and frequency which the management of an organization communicates it

LEGOs Expectations from Flextronics and Outcome Essay

LEGOs Expectations from Flextronics and Outcome - Essay Example This essay declares that LEGO wanted to outsource its production to a famous Singaporean electronics manufacturing company Flextronics. So in the year 2006 LEGO finalized the contract with Flextronics for producing the major parts of its toys. The idea was considered brilliant because the prices were locked for an extended period of time, so this would save the company from the risks of product price fluctuations. Flextronics was handed over the production sites of LEGO for production purposes. The phases started from 2004 to 2006, and throughout this phase the company was making efforts to reduce their production capacity to about 20 percent. They were aiming at keeping a target of 80/20 percent for outsourcing their production functions. This paper stresses that LEGO had created a complex framework for outsourcing external providers. This was also a reason why LEGO faced issues while working with Flextronics. LEGO was going through extreme transition, so it can be said that it became problematic for them to delegate authority and control their global network of production. Further, complexity occurred regarding the flawless transmission of production knowledge. LEGO and Flextronics have different organization structure. Though LEGO outsourced Flextronics, but it could not match its complex systems with that of Flextronics. LEGO was a manufacturing company. It manufactured toys for children. ... Flextronics was an electronic hoods manufacturing company, in which plastic plays an important role. This was the reason behind Flextronics’s interest to move for a long-tem relationship with LEGO. LEGO too found Flextronics to be professional and systematic to work with. However, their collaboration did not last long because of several issues that developed during their three years journey. LEGO’s goal was to optimize their global supply chain by outsourcing their production system to Flextronics. Similarly, Flextronics wanted to utilize the expertise of LEGO in plastics. It was found that LEGO was not satisfied with the quality of facilities provided by Flextronics. LEGO had created a complex framework for outsourcing external providers. This was also a reason why LEGO faced issues while working with Flextronics. LEGO was going through extreme transition, so it can be said that it became problematic for them to delegate authority and control their global network of pr oduction. Further, complexity occurred regarding the flawless transmission of production knowledge. LEGO and Flextronics have different organization structure. Though LEGO outsourced Flextronics, but it could not match its complex systems with that of Flextronics. On the other hand the company who was outsourced would be working according to its own process and framework. So problems of disagreement and misalignment were the result of what the outcome was (LEGO, 2006). Key Challenges in Maintaining a Relationship LEGO was a manufacturing company. It manufactured toys for children. The focus of the company was mainly on production and management of the supply chain. Never did the company feel the need of out sourcing or documentation before it was