Exam #2: Fluid Kinematics and Conservation Laws April 13, 2016, 7:00 p.m. 8:40 p.m. in CE 118

Size: px
Start display at page:

Download "Exam #2: Fluid Kinematics and Conservation Laws April 13, 2016, 7:00 p.m. 8:40 p.m. in CE 118"

Transcription

1 CVEN (Socolofsky) Fluid Dynamics Exam #2: Fluid Kinematics and Conservation Laws April 13, 2016, 7:00 p.m. 8:40 p.m. in CE 118 Name: : UIN: : Instructions: Fill in your name and UIN in the space above. The exam is closed book, and only two double-sided sheets of notes are permitted. No collaboration with others! For multiple choice questions, choose the single, best answer. For short answer and workout problems, write down all steps necessary to solve the problem: show all your work. Failure to do so will result in a lower score. Be sure to answer all parts of all problems. Do not leave any problems blank. Certification: An Aggie does not lie, cheat, or steal or tolerate those who do. By my signature below, I certify that the work contained in this exam is my own and that I did not receive help from other students. Signature: Date: CIVIL 3136 TAMU College Station, Texas (979) FAX (979)

2

3 A. True or False (25 points) For each of the following statements, check the box with the most appropriate response. 1. The total acceleration of a fluid particle as we follow the fluid is given by ~a = 2. Streamlines are everywhere tanget to the velocity vector. 3. A material system is allowed to exchange fluid across its material surface. 4. A control volume is allowed to exchange fluid across its control surface. 5. A control volume must be rigid and fixed in space. 6. Pumps do work on the fluid passing through the pump. 7. For steady flow through a constant-diameter pipe, friction losses act to increase the pressure with distance along the pipe. For Problems 8 10, assume the control volume in Figure 1 has been selected to solve a fluid flow problem using the conservation of momentum equation. Section 1 Section 2 Figure 1: Control volume for problems For the control volume in the figure, ~v ˆn at Section 1 is greater than zero. 9. For the control volume in the figure, p 1 A 1 is a force that acts to the right. 10. After solving the momentum equation, the values of R x and R y will be equal and opposite to the force required to hold the control volume in place. 2

4 B. Multiple Choice (45 points) For each of the following questions, circle the answer that is most appropriate or closest numerically to your answer. Be sure to clearly mark only one answer. Multiple selections will be graded as zero. 1. A fluid has velocity components u =(6y + t) and v =2tx, whereu and v are the velocity components in the x- and y-directions, respectively. The x-component of the acceleration of a particle passing the point (1, 2) at t = 1 is closest to a. -11 b. 12 c. 13 d. 28 The unsteady discharge from a cistern is shown in Figure 2. Let A t be cross-sectional area of the tank and A o be the area of the outlet. Figure 2: Schematic of the discharge from a cistern. 2. A solution using conservation of mass for the unsteady water depth h in the tank is given by a. dh/dt =(A o /A t ) p 2gh b. dh/dt = (A o /A t ) p 2gh c. dh/dt =(A t /A o ) p 2gh d. dh/dt = (A t /A o ) p 2gh 3

5 3. If a vertical pipe of length 3 m is attached to the outlet, then, ignoring friction, a. The tank will empty faster than without the pipe. b. The tank will empty slower than without the pipe. c. The tank will empty at the same rate as without the pipe. d. The tank will empty faster than without the pipe until half of the water is drained, and then it will empty slower than without the pipe. Figure 3 shows the steady flow through a pipe with a gate valve. The flow rate through the pipe is 0.2 m 3 /s and the gauge pressure at the upstream section is 600 kpa. The cross-sectional area at the outlet is m 2. Figure 3: Schematic of a pipe discharge through a gate valve. 4. The velocity of the water at the outlet is a m/s b m/s c m/s d m/s 5. The force exerted by the water on the valve is a kn b kn c kn d kn 4

6 6. The head loss (in meters of head) through the valve is a m b m c m d m e m f. None of the above For Problems 9 10, a pump is used to deliver water at a flow rate of 0.8 m 3 /s from a large reservoir to another large reservoir that is 20 m higher in elevation. The friction head loss in the 200 mm diameter, 4 km long pipeline is 2.5 m for every 500 m of pipe at this flow rate. The ends of the pipes are submerged in the reservoirs. 7. What is the total pump head h p (in meters of head) that the pump must deliver to achieve the specified pumpage? a. 0 m b. 20 m c. -40 m d. 40 m 8. At a flow rate of 1.0 m 3 /s (which has a di erent amount of head loss), the pump head required is 75 m. The required power output of the pump for this case is a. 310 kw b. 740 kw c. 980 kw d MW 5

7 Crude oil flows through the horizontal tapered 45 elbow shown in Figure 4 at 0.02 m 3 /s. The pressure at A is 300 kpa, the crude oil is incompressible, with density o = 880 kg/m 3, and the velocities at A and B are v A = m/s and v B = m/s. Figure 4: Schematic of crude oil flow ( o = 880 kg/m 3 ) through a pipe bend and contraction. 9. Assuming ideal fluid flow and noting that the pipe continues beyond B, the pressure at B is a kpa b. 6.5 kpa c. -95 kpa d. 95 kpa 10. The force in the x-direction R x required to hold the elbow in place is a N b. 360 N c N d. 420 N 6

8 C. Workout Problem (30 points) 1. Water flows through the pipe in Figure 5 at 5 m/s. Between sections A and B, an orifice plate is installed, which has a round hole in its center. The gauge pressure at A is 230 kpa and that at B is 180 kpa. Figure 5: Schematic of pipe flow across an orifice plate. a. Sketch the control volume you would use to determine the force the water exerts on the plate. Show the fluxes of water into and out of the control volume and all forces acting on the control volume. b. Apply the energy equation to compute the head loss (in meters of head) between Sections A and B. 7

9 2. A pump draws water from a large tank and discharges to a reservoir at C, as shown in Figure 6. The pump supplies m of head, and the diameter of the pipe is 200 mm. Find the force required to hold the pump in place. Neglect friction losses. Figure 6: Schematic of pumped flow through a pipeline. 8

10

11 D. Fluid Properties and Formulas Properties of Fluids: Gravitational acceleration g =9.81 m/s 2 = ft/s 2 (1) Weight, specific weight, and specific gravity W = gv = g SG = H2 O (2) Density and specific weight of water w = 1000 kg/m 3,1.94 slug/ft 3 (3) w =9, 810 kg/(m 2 s), 62.4 lb/ft 3 (4) Atmospheric pressure p atm = 101, 325 Pa = 14.7 psia (5) General Formulas: Area of a circle A = r 2 = 4 D2 (6) Volume of a cylinder V = r 2 h (7) Material derivative D (8) Two-dimensional stream lines dy dx = v u (9) Bernoulli equation along a streamline p + v 2 2g + z = c (10) 9

12 Conservation of mass for a control volume Z dv + (~v ˆn)dA = 0 CV CS Conservation of linear momentum for a control volume Z ~vdv + ~v(~v ˆn)dA = X F ~ CV CS Energy Equation p 2 g + v2 2 2g + z 2 = p 1 g + v2 1 2g + z 1 + h S h L (13) Shaft work to flow rate relationship h S = Ẇ Q (14) 10

Fluid Dynamics Exam #1: Introduction, fluid statics, and the Bernoulli equation March 2, 2016, 7:00 p.m. 8:40 p.m. in CE 118

Fluid Dynamics Exam #1: Introduction, fluid statics, and the Bernoulli equation March 2, 2016, 7:00 p.m. 8:40 p.m. in CE 118 CVEN 311-501 (Socolofsky) Fluid Dynamics Exam #1: Introduction, fluid statics, and the Bernoulli equation March 2, 2016, 7:00 p.m. 8:40 p.m. in CE 118 Name: : UIN: : Instructions: Fill in your name and

More information

Fluid Dynamics Midterm Exam #2 November 10, 2008, 7:00-8:40 pm in CE 110

Fluid Dynamics Midterm Exam #2 November 10, 2008, 7:00-8:40 pm in CE 110 CVEN 311-501 Fluid Dynamics Midterm Exam #2 November 10, 2008, 7:00-8:40 pm in CE 110 Name: UIN: Instructions: Fill in your name and UIN in the space above. There should be 11 pages including this one.

More information

FE Fluids Review March 23, 2012 Steve Burian (Civil & Environmental Engineering)

FE Fluids Review March 23, 2012 Steve Burian (Civil & Environmental Engineering) Topic: Fluid Properties 1. If 6 m 3 of oil weighs 47 kn, calculate its specific weight, density, and specific gravity. 2. 10.0 L of an incompressible liquid exert a force of 20 N at the earth s surface.

More information

Chapter Four fluid flow mass, energy, Bernoulli and momentum

Chapter Four fluid flow mass, energy, Bernoulli and momentum 4-1Conservation of Mass Principle Consider a control volume of arbitrary shape, as shown in Fig (4-1). Figure (4-1): the differential control volume and differential control volume (Total mass entering

More information

5 ENERGY EQUATION OF FLUID MOTION

5 ENERGY EQUATION OF FLUID MOTION 5 ENERGY EQUATION OF FLUID MOTION 5.1 Introduction In order to develop the equations that describe a flow, it is assumed that fluids are subject to certain fundamental laws of physics. The pertinent laws

More information

Chapter 4 DYNAMICS OF FLUID FLOW

Chapter 4 DYNAMICS OF FLUID FLOW Faculty Of Engineering at Shobra nd Year Civil - 016 Chapter 4 DYNAMICS OF FLUID FLOW 4-1 Types of Energy 4- Euler s Equation 4-3 Bernoulli s Equation 4-4 Total Energy Line (TEL) and Hydraulic Grade Line

More information

Mass of fluid leaving per unit time

Mass of fluid leaving per unit time 5 ENERGY EQUATION OF FLUID MOTION 5.1 Eulerian Approach & Control Volume In order to develop the equations that describe a flow, it is assumed that fluids are subject to certain fundamental laws of physics.

More information

Signature: (Note that unsigned exams will be given a score of zero.)

Signature: (Note that unsigned exams will be given a score of zero.) Neatly print your name: Signature: (Note that unsigned exams will be given a score of zero.) Circle your lecture section (-1 point if not circled, or circled incorrectly): Prof. Dabiri Prof. Wassgren Prof.

More information

FLUID MECHANICS D203 SAE SOLUTIONS TUTORIAL 2 APPLICATIONS OF BERNOULLI SELF ASSESSMENT EXERCISE 1

FLUID MECHANICS D203 SAE SOLUTIONS TUTORIAL 2 APPLICATIONS OF BERNOULLI SELF ASSESSMENT EXERCISE 1 FLUID MECHANICS D203 SAE SOLUTIONS TUTORIAL 2 APPLICATIONS OF BERNOULLI SELF ASSESSMENT EXERCISE 1 1. A pipe 100 mm bore diameter carries oil of density 900 kg/m3 at a rate of 4 kg/s. The pipe reduces

More information

Chapter (6) Energy Equation and Its Applications

Chapter (6) Energy Equation and Its Applications Chapter (6) Energy Equation and Its Applications Bernoulli Equation Bernoulli equation is one of the most useful equations in fluid mechanics and hydraulics. And it s a statement of the principle of conservation

More information

Mechanical Engineering Programme of Study

Mechanical Engineering Programme of Study Mechanical Engineering Programme of Study Fluid Mechanics Instructor: Marios M. Fyrillas Email: eng.fm@fit.ac.cy SOLVED EXAMPLES ON VISCOUS FLOW 1. Consider steady, laminar flow between two fixed parallel

More information

FE Exam Fluids Review October 23, Important Concepts

FE Exam Fluids Review October 23, Important Concepts FE Exam Fluids Review October 3, 013 mportant Concepts Density, specific volume, specific weight, specific gravity (Water 1000 kg/m^3, Air 1. kg/m^3) Meaning & Symbols? Stress, Pressure, Viscosity; Meaning

More information

!! +! 2!! +!"!! =!! +! 2!! +!"!! +!!"!"!"

!! +! 2!! +!!! =!! +! 2!! +!!! +!!!! Homework 4 Solutions 1. (15 points) Bernoulli s equation can be adapted for use in evaluating unsteady flow conditions, such as those encountered during start- up processes. For example, consider the large

More information

Q1 Give answers to all of the following questions (5 marks each):

Q1 Give answers to all of the following questions (5 marks each): FLUID MECHANICS First Year Exam Solutions 03 Q Give answers to all of the following questions (5 marks each): (a) A cylinder of m in diameter is made with material of relative density 0.5. It is moored

More information

For example an empty bucket weighs 2.0kg. After 7 seconds of collecting water the bucket weighs 8.0kg, then:

For example an empty bucket weighs 2.0kg. After 7 seconds of collecting water the bucket weighs 8.0kg, then: Hydraulic Coefficient & Flow Measurements ELEMENTARY HYDRAULICS National Certificate in Technology (Civil Engineering) Chapter 3 1. Mass flow rate If we want to measure the rate at which water is flowing

More information

CHAPTER 3 BASIC EQUATIONS IN FLUID MECHANICS NOOR ALIZA AHMAD

CHAPTER 3 BASIC EQUATIONS IN FLUID MECHANICS NOOR ALIZA AHMAD CHAPTER 3 BASIC EQUATIONS IN FLUID MECHANICS 1 INTRODUCTION Flow often referred as an ideal fluid. We presume that such a fluid has no viscosity. However, this is an idealized situation that does not exist.

More information

CVEN Fall 2009 Examination 1 October 5, :00 pm 8:40 pm

CVEN Fall 2009 Examination 1 October 5, :00 pm 8:40 pm NAME (print): CVEN 311 502 Fall 2009 Examination 1 October 5, 2009 7:00 pm 8:40 pm This is a closed book examination. You are allowed to use one letter sized (8 ½ x 11 ) formula sheet with writing on one

More information

AER210 VECTOR CALCULUS and FLUID MECHANICS. Quiz 4 Duration: 70 minutes

AER210 VECTOR CALCULUS and FLUID MECHANICS. Quiz 4 Duration: 70 minutes AER210 VECTOR CALCULUS and FLUID MECHANICS Quiz 4 Duration: 70 minutes 26 November 2012 Closed Book, no aid sheets Non-programmable calculators allowed Instructor: Alis Ekmekci Family Name: Given Name:

More information

Rate of Flow Quantity of fluid passing through any section (area) per unit time

Rate of Flow Quantity of fluid passing through any section (area) per unit time Kinematics of Fluid Flow Kinematics is the science which deals with study of motion of liquids without considering the forces causing the motion. Rate of Flow Quantity of fluid passing through any section

More information

Prof. Scalo Prof. Vlachos Prof. Ardekani Prof. Dabiri 08:30 09:20 A.M 10:30 11:20 A.M. 1:30 2:20 P.M. 3:30 4:20 P.M.

Prof. Scalo Prof. Vlachos Prof. Ardekani Prof. Dabiri 08:30 09:20 A.M 10:30 11:20 A.M. 1:30 2:20 P.M. 3:30 4:20 P.M. Page 1 Neatly print your name: Signature: (Note that unsigned exams will be given a score of zero.) Circle your lecture section (-1 point if not circled, or circled incorrectly): Prof. Scalo Prof. Vlachos

More information

Fluid Mechanics. du dy

Fluid Mechanics. du dy FLUID MECHANICS Technical English - I 1 th week Fluid Mechanics FLUID STATICS FLUID DYNAMICS Fluid Statics or Hydrostatics is the study of fluids at rest. The main equation required for this is Newton's

More information

Page 1. Neatly print your name: Signature: (Note that unsigned exams will be given a score of zero.)

Page 1. Neatly print your name: Signature: (Note that unsigned exams will be given a score of zero.) Page 1 Neatly print your name: Signature: (Note that unsigned exams will be given a score of zero.) Circle your lecture section (-1 point if not circled, or circled incorrectly): Prof. Vlachos Prof. Ardekani

More information

The Bernoulli Equation

The Bernoulli Equation The Bernoulli Equation The most used and the most abused equation in fluid mechanics. Newton s Second Law: F = ma In general, most real flows are 3-D, unsteady (x, y, z, t; r,θ, z, t; etc) Let consider

More information

LECTURE 6- ENERGY LOSSES IN HYDRAULIC SYSTEMS SELF EVALUATION QUESTIONS AND ANSWERS

LECTURE 6- ENERGY LOSSES IN HYDRAULIC SYSTEMS SELF EVALUATION QUESTIONS AND ANSWERS LECTURE 6- ENERGY LOSSES IN HYDRAULIC SYSTEMS SELF EVALUATION QUESTIONS AND ANSWERS 1. What is the head loss ( in units of bars) across a 30mm wide open gate valve when oil ( SG=0.9) flow through at a

More information

Therefore, the control volume in this case can be treated as a solid body, with a net force or thrust of. bm # V

Therefore, the control volume in this case can be treated as a solid body, with a net force or thrust of. bm # V When the mass m of the control volume remains nearly constant, the first term of the Eq. 6 8 simply becomes mass times acceleration since 39 CHAPTER 6 d(mv ) CV m dv CV CV (ma ) CV Therefore, the control

More information

Benha University College of Engineering at Benha Questions For Corrective Final Examination Subject: Fluid Mechanics M 201 May 24/ 2016

Benha University College of Engineering at Benha Questions For Corrective Final Examination Subject: Fluid Mechanics M 201 May 24/ 2016 Benha University College of Engineering at Benha Questions For Corrective Final Examination Subject: Fluid Mechanics M 01 May 4/ 016 Second year Mech. Time :180 min. Examiner:Dr.Mohamed Elsharnoby Attempt

More information

Pipe Flow. Lecture 17

Pipe Flow. Lecture 17 Pipe Flow Lecture 7 Pipe Flow and the Energy Equation For pipe flow, the Bernoulli equation alone is not sufficient. Friction loss along the pipe, and momentum loss through diameter changes and corners

More information

CEE 3310 Control Volume Analysis, Oct. 10, = dt. sys

CEE 3310 Control Volume Analysis, Oct. 10, = dt. sys CEE 3310 Control Volume Analysis, Oct. 10, 2018 77 3.16 Review First Law of Thermodynamics ( ) de = dt Q Ẇ sys Sign convention: Work done by the surroundings on the system < 0, example, a pump! Work done

More information

The online of midterm-tests of Fluid Mechanics 1

The online of midterm-tests of Fluid Mechanics 1 The online of midterm-tests of Fluid Mechanics 1 1) The information on a can of pop indicates that the can contains 460 ml. The mass of a full can of pop is 3.75 lbm while an empty can weights 80.5 lbf.

More information

Chapter 1 INTRODUCTION

Chapter 1 INTRODUCTION Chapter 1 INTRODUCTION 1-1 The Fluid. 1-2 Dimensions. 1-3 Units. 1-4 Fluid Properties. 1 1-1 The Fluid: It is the substance that deforms continuously when subjected to a shear stress. Matter Solid Fluid

More information

CIVE HYDRAULIC ENGINEERING PART I Pierre Julien Colorado State University

CIVE HYDRAULIC ENGINEERING PART I Pierre Julien Colorado State University CIVE 401 - HYDRAULIC ENGINEERING PART I Pierre Julien Colorado State University Problems with and are considered moderate and those with are the longest and most difficult. In 2018 solve the problems with

More information

Formulae that you may or may not find useful. E v = V. dy dx = v u. y cp y = I xc/a y. Volume of an entire sphere = 4πr3 = πd3

Formulae that you may or may not find useful. E v = V. dy dx = v u. y cp y = I xc/a y. Volume of an entire sphere = 4πr3 = πd3 CE30 Test 1 Solution Key Date: 26 Sept. 2017 COVER PAGE Write your name on each sheet of paper that you hand in. Read all questions very carefully. If the problem statement is not clear, you should ask

More information

Figure 3: Problem 7. (a) 0.9 m (b) 1.8 m (c) 2.7 m (d) 3.6 m

Figure 3: Problem 7. (a) 0.9 m (b) 1.8 m (c) 2.7 m (d) 3.6 m 1. For the manometer shown in figure 1, if the absolute pressure at point A is 1.013 10 5 Pa, the absolute pressure at point B is (ρ water =10 3 kg/m 3, ρ Hg =13.56 10 3 kg/m 3, ρ oil = 800kg/m 3 ): (a)

More information

3.8 The First Law of Thermodynamics and the Energy Equation

3.8 The First Law of Thermodynamics and the Energy Equation CEE 3310 Control Volume Analysis, Sep 30, 2011 65 Review Conservation of angular momentum 1-D form ( r F )ext = [ˆ ] ( r v)d + ( r v) out ṁ out ( r v) in ṁ in t CV 3.8 The First Law of Thermodynamics and

More information

CEE 3310 Control Volume Analysis, Oct. 7, D Steady State Head Form of the Energy Equation P. P 2g + z h f + h p h s.

CEE 3310 Control Volume Analysis, Oct. 7, D Steady State Head Form of the Energy Equation P. P 2g + z h f + h p h s. CEE 3310 Control Volume Analysis, Oct. 7, 2015 81 3.21 Review 1-D Steady State Head Form of the Energy Equation ( ) ( ) 2g + z = 2g + z h f + h p h s out where h f is the friction head loss (which combines

More information

Basic Fluid Mechanics

Basic Fluid Mechanics Basic Fluid Mechanics Chapter 5: Application of Bernoulli Equation 4/16/2018 C5: Application of Bernoulli Equation 1 5.1 Introduction In this chapter we will show that the equation of motion of a particle

More information

If a stream of uniform velocity flows into a blunt body, the stream lines take a pattern similar to this: Streamlines around a blunt body

If a stream of uniform velocity flows into a blunt body, the stream lines take a pattern similar to this: Streamlines around a blunt body Venturimeter & Orificemeter ELEMENTARY HYDRAULICS National Certificate in Technology (Civil Engineering) Chapter 5 Applications of the Bernoulli Equation The Bernoulli equation can be applied to a great

More information

CVE 372 HYDROMECHANICS EXERCISE PROBLEMS

CVE 372 HYDROMECHANICS EXERCISE PROBLEMS VE 37 HYDROMEHNIS EXERISE PROLEMS 1. pump that has the characteristic curve shown in the accompanying graph is to be installed in the system shown. What will be the discharge of water in the system? Take

More information

CE 6303 MECHANICS OF FLUIDS L T P C QUESTION BANK 3 0 0 3 UNIT I FLUID PROPERTIES AND FLUID STATICS PART - A 1. Define fluid and fluid mechanics. 2. Define real and ideal fluids. 3. Define mass density

More information

S.E. (Mech.) (First Sem.) EXAMINATION, (Common to Mech/Sandwich) FLUID MECHANICS (2008 PATTERN) Time : Three Hours Maximum Marks : 100

S.E. (Mech.) (First Sem.) EXAMINATION, (Common to Mech/Sandwich) FLUID MECHANICS (2008 PATTERN) Time : Three Hours Maximum Marks : 100 Total No. of Questions 12] [Total No. of Printed Pages 8 Seat No. [4262]-113 S.E. (Mech.) (First Sem.) EXAMINATION, 2012 (Common to Mech/Sandwich) FLUID MECHANICS (2008 PATTERN) Time : Three Hours Maximum

More information

Physics 123 Unit #1 Review

Physics 123 Unit #1 Review Physics 123 Unit #1 Review I. Definitions & Facts Density Specific gravity (= material / water) Pressure Atmosphere, bar, Pascal Barometer Streamline, laminar flow Turbulence Gauge pressure II. Mathematics

More information

Lesson 6 Review of fundamentals: Fluid flow

Lesson 6 Review of fundamentals: Fluid flow Lesson 6 Review of fundamentals: Fluid flow The specific objective of this lesson is to conduct a brief review of the fundamentals of fluid flow and present: A general equation for conservation of mass

More information

ESSEX COUNTY COLLEGE Engineering Technologies and Computer Sciences Division MET 215 Fluid Mechanics Course Outline

ESSEX COUNTY COLLEGE Engineering Technologies and Computer Sciences Division MET 215 Fluid Mechanics Course Outline ESSEX COUNTY COLLEGE Engineering Technologies and Computer Sciences Division MET 215 Fluid Mechanics Course Outline Course Number & Name: MET 215 Fluid Mechanics Credit Hours: 3.0 Contact Hours: 4.5 Lecture:

More information

vector H. If O is the point about which moments are desired, the angular moment about O is given:

vector H. If O is the point about which moments are desired, the angular moment about O is given: The angular momentum A control volume analysis can be applied to the angular momentum, by letting B equal to angularmomentum vector H. If O is the point about which moments are desired, the angular moment

More information

Objectives. Conservation of mass principle: Mass Equation The Bernoulli equation Conservation of energy principle: Energy equation

Objectives. Conservation of mass principle: Mass Equation The Bernoulli equation Conservation of energy principle: Energy equation Objectives Conservation of mass principle: Mass Equation The Bernoulli equation Conservation of energy principle: Energy equation Conservation of Mass Conservation of Mass Mass, like energy, is a conserved

More information

CIVIL 3136 TAMU College Station, Texas (979) FAX (979) CVEN

CIVIL 3136 TAMU College Station, Texas (979) FAX (979) CVEN CVEN 489-501 Special Topics in Mixing and Transport in the Environment Midterm Exam #2 April 22-25, 2005 Name: CIVIL 3136 TAMU College Station, Texas 77843-3136 (979) 845-4517 FAX (979) 862-8162 Instructions:

More information

Part A: 1 pts each, 10 pts total, no partial credit.

Part A: 1 pts each, 10 pts total, no partial credit. Part A: 1 pts each, 10 pts total, no partial credit. 1) (Correct: 1 pt/ Wrong: -3 pts). The sum of static, dynamic, and hydrostatic pressures is constant when flow is steady, irrotational, incompressible,

More information

10.52 Mechanics of Fluids Spring 2006 Problem Set 3

10.52 Mechanics of Fluids Spring 2006 Problem Set 3 10.52 Mechanics of Fluids Spring 2006 Problem Set 3 Problem 1 Mass transfer studies involving the transport of a solute from a gas to a liquid often involve the use of a laminar jet of liquid. The situation

More information

1.060 Engineering Mechanics II Spring Problem Set 4

1.060 Engineering Mechanics II Spring Problem Set 4 1.060 Engineering Mechanics II Spring 2006 Due on Monday, March 20th Problem Set 4 Important note: Please start a new sheet of paper for each problem in the problem set. Write the names of the group members

More information

ME3560 Tentative Schedule Spring 2019

ME3560 Tentative Schedule Spring 2019 ME3560 Tentative Schedule Spring 2019 Week Number Date Lecture Topics Covered Prior to Lecture Read Section Assignment Prep Problems for Prep Probs. Must be Solved by 1 Monday 1/7/2019 1 Introduction to

More information

HOW TO GET A GOOD GRADE ON THE MME 2273B FLUID MECHANICS 1 EXAM. Common mistakes made on the final exam and how to avoid them

HOW TO GET A GOOD GRADE ON THE MME 2273B FLUID MECHANICS 1 EXAM. Common mistakes made on the final exam and how to avoid them HOW TO GET A GOOD GRADE ON THE MME 2273B FLUID MECHANICS 1 EXAM Common mistakes made on the final exam and how to avoid them HOW TO GET A GOOD GRADE ON THE MME 2273B EXAM Introduction You now have a lot

More information

COURSE NUMBER: ME 321 Fluid Mechanics I 3 credit hour. Basic Equations in fluid Dynamics

COURSE NUMBER: ME 321 Fluid Mechanics I 3 credit hour. Basic Equations in fluid Dynamics COURSE NUMBER: ME 321 Fluid Mechanics I 3 credit hour Basic Equations in fluid Dynamics Course teacher Dr. M. Mahbubur Razzaque Professor Department of Mechanical Engineering BUET 1 Description of Fluid

More information

Experiment (4): Flow measurement

Experiment (4): Flow measurement Experiment (4): Flow measurement Introduction: The flow measuring apparatus is used to familiarize the students with typical methods of flow measurement of an incompressible fluid and, at the same time

More information

2 Internal Fluid Flow

2 Internal Fluid Flow Internal Fluid Flow.1 Definitions Fluid Dynamics The study of fluids in motion. Static Pressure The pressure at a given point exerted by the static head of the fluid present directly above that point.

More information

CHAPTER THREE FLUID MECHANICS

CHAPTER THREE FLUID MECHANICS CHAPTER THREE FLUID MECHANICS 3.1. Measurement of Pressure Drop for Flow through Different Geometries 3.. Determination of Operating Characteristics of a Centrifugal Pump 3.3. Energy Losses in Pipes under

More information

Hydraulics. B.E. (Civil), Year/Part: II/II. Tutorial solutions: Pipe flow. Tutorial 1

Hydraulics. B.E. (Civil), Year/Part: II/II. Tutorial solutions: Pipe flow. Tutorial 1 Hydraulics B.E. (Civil), Year/Part: II/II Tutorial solutions: Pipe flow Tutorial 1 -by Dr. K.N. Dulal Laminar flow 1. A pipe 200mm in diameter and 20km long conveys oil of density 900 kg/m 3 and viscosity

More information

ME3560 Tentative Schedule Fall 2018

ME3560 Tentative Schedule Fall 2018 ME3560 Tentative Schedule Fall 2018 Week Number 1 Wednesday 8/29/2018 1 Date Lecture Topics Covered Introduction to course, syllabus and class policies. Math Review. Differentiation. Prior to Lecture Read

More information

3.25 Pressure form of Bernoulli Equation

3.25 Pressure form of Bernoulli Equation CEE 3310 Control Volume Analysis, Oct 3, 2012 83 3.24 Review The Energy Equation Q Ẇshaft = d dt CV ) (û + v2 2 + gz ρ d + (û + v2 CS 2 + gz + ) ρ( v n) da ρ where Q is the heat energy transfer rate, Ẇ

More information

Name. Chemical Engineering 150A Mid-term Examination 1 Spring 2013

Name. Chemical Engineering 150A Mid-term Examination 1 Spring 2013 Name Chemical Engineering 150A Mid-term Examination 1 Spring 2013 Show your work. Clearly identify any assumptions you are making, indicate your reasoning, and clearly identify any variables that are not

More information

UNIT I FLUID PROPERTIES AND STATICS

UNIT I FLUID PROPERTIES AND STATICS SIDDHARTH GROUP OF INSTITUTIONS :: PUTTUR Siddharth Nagar, Narayanavanam Road 517583 QUESTION BANK (DESCRIPTIVE) Subject with Code : Fluid Mechanics (16CE106) Year & Sem: II-B.Tech & I-Sem Course & Branch:

More information

ME 309 Fluid Mechanics Fall 2010 Exam 2 1A. 1B.

ME 309 Fluid Mechanics Fall 2010 Exam 2 1A. 1B. Fall 010 Exam 1A. 1B. Fall 010 Exam 1C. Water is flowing through a 180º bend. The inner and outer radii of the bend are 0.75 and 1.5 m, respectively. The velocity profile is approximated as C/r where C

More information

V/ t = 0 p/ t = 0 ρ/ t = 0. V/ s = 0 p/ s = 0 ρ/ s = 0

V/ t = 0 p/ t = 0 ρ/ t = 0. V/ s = 0 p/ s = 0 ρ/ s = 0 UNIT III FLOW THROUGH PIPES 1. List the types of fluid flow. Steady and unsteady flow Uniform and non-uniform flow Laminar and Turbulent flow Compressible and incompressible flow Rotational and ir-rotational

More information

Signature: (Note that unsigned exams will be given a score of zero.)

Signature: (Note that unsigned exams will be given a score of zero.) Neatly print your name: Signature: (Note that unsigned exams will be given a score of zero.) Circle your lecture section (-1 point if not circled, or circled incorrectly): Prof. Dabiri Prof. Wassgren Prof.

More information

4 Mechanics of Fluids (I)

4 Mechanics of Fluids (I) 1. The x and y components of velocity for a two-dimensional flow are u = 3.0 ft/s and v = 9.0x ft/s where x is in feet. Determine the equation for the streamlines and graph representative streamlines in

More information

Chapter 3 Bernoulli Equation

Chapter 3 Bernoulli Equation 1 Bernoulli Equation 3.1 Flow Patterns: Streamlines, Pathlines, Streaklines 1) A streamline, is a line that is everywhere tangent to the velocity vector at a given instant. Examples of streamlines around

More information

Atmospheric pressure. 9 ft. 6 ft

Atmospheric pressure. 9 ft. 6 ft Name CEE 4 Final Exam, Aut 00; Answer all questions; 145 points total. Some information that might be helpful is provided below. A Moody diagram is printed on the last page. For water at 0 o C (68 o F):

More information

Answers to questions in each section should be tied together and handed in separately.

Answers to questions in each section should be tied together and handed in separately. EGT0 ENGINEERING TRIPOS PART IA Wednesday 4 June 014 9 to 1 Paper 1 MECHANICAL ENGINEERING Answer all questions. The approximate number of marks allocated to each part of a question is indicated in the

More information

MULTIPLE-CHOICE PROBLEMS:(Two marks per answer) (Circle the Letter Beside the Most Correct Answer in the Questions Below.)

MULTIPLE-CHOICE PROBLEMS:(Two marks per answer) (Circle the Letter Beside the Most Correct Answer in the Questions Below.) MULTIPLE-CHOICE PROLEMS:(Two marks per answer) (Circle the Letter eside the Most Correct Answer in the Questions elow.) 1. The absolute viscosity µ of a fluid is primarily a function of: a. Density. b.

More information

Flowmeter Discharge Coefficient Estimation

Flowmeter Discharge Coefficient Estimation Bankston 1 Flowmeter Discharge Coefficient Estimation Elizabeth Bankston Team 1 Abstract An Edibon FME18 Flow Meter demonstration system was used to obtain experimental values for this experiment. The

More information

Piping Systems and Flow Analysis (Chapter 3)

Piping Systems and Flow Analysis (Chapter 3) Piping Systems and Flow Analysis (Chapter 3) 2 Learning Outcomes (Chapter 3) Losses in Piping Systems Major losses Minor losses Pipe Networks Pipes in series Pipes in parallel Manifolds and Distribution

More information

PROPERTIES OF FLUIDS

PROPERTIES OF FLUIDS Unit - I Chapter - PROPERTIES OF FLUIDS Solutions of Examples for Practice Example.9 : Given data : u = y y, = 8 Poise = 0.8 Pa-s To find : Shear stress. Step - : Calculate the shear stress at various

More information

Unit C-1: List of Subjects

Unit C-1: List of Subjects Unit C-: List of Subjects The elocity Field The Acceleration Field The Material or Substantial Derivative Steady Flow and Streamlines Fluid Particle in a Flow Field F=ma along a Streamline Bernoulli s

More information

EXPERIMENT No.1 FLOW MEASUREMENT BY ORIFICEMETER

EXPERIMENT No.1 FLOW MEASUREMENT BY ORIFICEMETER EXPERIMENT No.1 FLOW MEASUREMENT BY ORIFICEMETER 1.1 AIM: To determine the co-efficient of discharge of the orifice meter 1.2 EQUIPMENTS REQUIRED: Orifice meter test rig, Stopwatch 1.3 PREPARATION 1.3.1

More information

Attempt ALL QUESTIONS IN SECTION A and ANY TWO QUESTIONS IN SECTION B Linear graph paper will be provided.

Attempt ALL QUESTIONS IN SECTION A and ANY TWO QUESTIONS IN SECTION B Linear graph paper will be provided. UNIVERSITY OF EAST ANGLIA School of Mathematics Main Series UG Examination 2013-2014 ENGINEERING PRINCIPLES AND LAWS ENG-4002Y Time allowed: 3 Hours Attempt ALL QUESTIONS IN SECTION A and ANY TWO QUESTIONS

More information

INSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad AERONAUTICAL ENGINEERING QUESTION BANK : AERONAUTICAL ENGINEERING.

INSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad AERONAUTICAL ENGINEERING QUESTION BANK : AERONAUTICAL ENGINEERING. Course Name Course Code Class Branch INSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad - 00 0 AERONAUTICAL ENGINEERING : Mechanics of Fluids : A00 : II-I- B. Tech Year : 0 0 Course Coordinator

More information

11.1 Mass Density. Fluids are materials that can flow, and they include both gases and liquids. The mass density of a liquid or gas is an

11.1 Mass Density. Fluids are materials that can flow, and they include both gases and liquids. The mass density of a liquid or gas is an Chapter 11 Fluids 11.1 Mass Density Fluids are materials that can flow, and they include both gases and liquids. The mass density of a liquid or gas is an important factor that determines its behavior

More information

FLOW MEASUREMENT IN PIPES EXPERIMENT

FLOW MEASUREMENT IN PIPES EXPERIMENT University of Leicester Engineering Department FLOW MEASUREMENT IN PIPES EXPERIMENT Page 1 FORMAL LABORATORY REPORT Name of the experiment: FLOW MEASUREMENT IN PIPES Author: Apollin nana chaazou Partner

More information

CE Final Exam. December 12, Name. Student I.D.

CE Final Exam. December 12, Name. Student I.D. CE 100 - December 12, 2009 Name Student I.D. This exam is closed book. You are allowed three sheets of paper (8.5 x 11, both sides) of your own notes. You will be given three hours to complete four problems.

More information

CHAPTER 4 The Integral Forms of the Fundamental Laws

CHAPTER 4 The Integral Forms of the Fundamental Laws CHAPTER 4 The Integral Forms of the Fundamental Laws FE-type Exam Review Problems: Problems 4- to 4-5 4 (B) 4 (D) 4 (A) 44 (D) p m ρa A π 4 7 87 kg/s RT 87 9 Refer to the circle of Problem 47: 757 Q A

More information

Hydraulics and hydrology

Hydraulics and hydrology Hydraulics and hydrology - project exercises - Class 4 and 5 Pipe flow Discharge (Q) (called also as the volume flow rate) is the volume of fluid that passes through an area per unit time. The discharge

More information

The most common methods to identify velocity of flow are pathlines, streaklines and streamlines.

The most common methods to identify velocity of flow are pathlines, streaklines and streamlines. 4 FLUID FLOW 4.1 Introduction Many civil engineering problems in fluid mechanics are concerned with fluids in motion. The distribution of potable water, the collection of domestic sewage and storm water,

More information

MASS, MOMENTUM, AND ENERGY EQUATIONS

MASS, MOMENTUM, AND ENERGY EQUATIONS MASS, MOMENTUM, AND ENERGY EQUATIONS This chapter deals with four equations commonly used in fluid mechanics: the mass, Bernoulli, Momentum and energy equations. The mass equation is an expression of the

More information

Campus Mail Box. Circle One: Richards 03 Richards 04 Lui 05 Lui - 06

Campus Mail Box. Circle One: Richards 03 Richards 04 Lui 05 Lui - 06 ES 202 - Exam I Winter 2002-2003 Richards/Lui Name: Campus Mail Box Circle One: Richards 03 Richards 04 Lui 05 Lui - 06 Problem 1 Problem 2 ( 10 ) ( 45 ) Problem 3 ( 45 ) TOTAL ( 100 ) General Comments

More information

where = rate of change of total energy of the system, = rate of heat added to the system, = rate of work done by the system

where = rate of change of total energy of the system, = rate of heat added to the system, = rate of work done by the system The Energy Equation for Control Volumes Recall, the First Law of Thermodynamics: where = rate of change of total energy of the system, = rate of heat added to the system, = rate of work done by the system

More information

Chapter 15B - Fluids in Motion. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University

Chapter 15B - Fluids in Motion. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University Chapter 15B - Fluids in Motion A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University 007 Paul E. Tippens Fluid Motion The lower falls at Yellowstone National

More information

Consider a control volume in the form of a straight section of a streamtube ABCD.

Consider a control volume in the form of a straight section of a streamtube ABCD. 6 MOMENTUM EQUATION 6.1 Momentum and Fluid Flow In mechanics, the momentum of a particle or object is defined as the product of its mass m and its velocity v: Momentum = mv The particles of a fluid stream

More information

FLUID MECHANICS. Chapter 3 Elementary Fluid Dynamics - The Bernoulli Equation

FLUID MECHANICS. Chapter 3 Elementary Fluid Dynamics - The Bernoulli Equation FLUID MECHANICS Chapter 3 Elementary Fluid Dynamics - The Bernoulli Equation CHAP 3. ELEMENTARY FLUID DYNAMICS - THE BERNOULLI EQUATION CONTENTS 3. Newton s Second Law 3. F = ma along a Streamline 3.3

More information

BACHELOR OF TECHNOLOGY IN MECHANICAL ENGINEERING (COMPUTER INTEGRATED MANUFACTURING)

BACHELOR OF TECHNOLOGY IN MECHANICAL ENGINEERING (COMPUTER INTEGRATED MANUFACTURING) No. of Printed Pages : 6 BME-028 BACHELOR OF TECHNOLOGY IN MECHANICAL ENGINEERING (COMPUTER INTEGRATED MANUFACTURING) Term-End Examination December, 2011 00792 BME-028 : FLUID MECHANICS Time : 3 hours

More information

FLUID MECHANICS PROF. DR. METİN GÜNER COMPILER

FLUID MECHANICS PROF. DR. METİN GÜNER COMPILER FLUID MECHANICS PROF. DR. METİN GÜNER COMPILER ANKARA UNIVERSITY FACULTY OF AGRICULTURE DEPARTMENT OF AGRICULTURAL MACHINERY AND TECHNOLOGIES ENGINEERING 1 4. ELEMENTARY FLUID DYNAMICS -THE BERNOULLI EQUATION

More information

MATH 152 Spring 2018 COMMON EXAM I - VERSION A

MATH 152 Spring 2018 COMMON EXAM I - VERSION A MATH 52 Spring 28 COMMON EXAM I - VERSION A LAST NAME: FIRST NAME: INSTRUCTOR: SECTION NUMBER: UIN: DIRECTIONS:. The use of a calculator, laptop or cell phone is prohibited. 2. TURN OFF cell phones and

More information

EXAM # 1 CIRCLE YOUR LECTURE BELOW: 8:30 am 11:30 am 2:30 pm Prof. Memon Prof. Naik Prof. Lucht INSTRUCTIONS

EXAM # 1 CIRCLE YOUR LECTURE BELOW: 8:30 am 11:30 am 2:30 pm Prof. Memon Prof. Naik Prof. Lucht INSTRUCTIONS Last Name First Name CIRCLE YOUR LECTURE BELOW: 8: am : am : pm Prof. Memon Prof. Naik Prof. Lucht EXAM # INSTRUCTIONS. This is a closed book examination. An equation sheet and all needed property tables

More information

Chapter Four Hydraulic Machines

Chapter Four Hydraulic Machines Contents 1- Introduction. - Pumps. Chapter Four Hydraulic Machines (لفرع الميكانيك العام فقط ( Turbines. -3 4- Cavitation in hydraulic machines. 5- Examples. 6- Problems; sheet No. 4 (Pumps) 7- Problems;

More information

INTRODUCTION TO FLUID MECHANICS June 27, 2013

INTRODUCTION TO FLUID MECHANICS June 27, 2013 INTRODUCTION TO FLUID MECHANICS June 27, 2013 PROBLEM 3 (1 hour) A perfect liquid of constant density ρ and constant viscosity µ fills the space between two infinite parallel walls separated by a distance

More information

Applied Fluid Mechanics

Applied Fluid Mechanics Applied Fluid Mechanics 1. The Nature of Fluid and the Study of Fluid Mechanics 2. Viscosity of Fluid 3. Pressure Measurement 4. Forces Due to Static Fluid 5. Buoyancy and Stability 6. Flow of Fluid and

More information

HOMEWORK ASSIGNMENT ON BERNOULLI S EQUATION

HOMEWORK ASSIGNMENT ON BERNOULLI S EQUATION AMEE 0 Introduction to Fluid Mechanics Instructor: Marios M. Fyrillas Email: m.fyrillas@frederick.ac.cy HOMEWORK ASSIGNMENT ON BERNOULLI S EQUATION. Conventional spray-guns operate by achieving a low pressure

More information

EXPERIMENT NO. 4 CALIBRATION OF AN ORIFICE PLATE FLOWMETER MECHANICAL ENGINEERING DEPARTMENT KING SAUD UNIVERSITY RIYADH

EXPERIMENT NO. 4 CALIBRATION OF AN ORIFICE PLATE FLOWMETER MECHANICAL ENGINEERING DEPARTMENT KING SAUD UNIVERSITY RIYADH EXPERIMENT NO. 4 CALIBRATION OF AN ORIFICE PLATE FLOWMETER MECHANICAL ENGINEERING DEPARTMENT KING SAUD UNIVERSITY RIYADH Submitted By: ABDULLAH IBN ABDULRAHMAN ID: 13456789 GROUP A EXPERIMENT PERFORMED

More information

Lecture 3 The energy equation

Lecture 3 The energy equation Lecture 3 The energy equation Dr Tim Gough: t.gough@bradford.ac.uk General information Lab groups now assigned Timetable up to week 6 published Is there anyone not yet on the list? Week 3 Week 4 Week 5

More information

MULTIPLE-CHOICE PROBLEMS :(Two marks per answer) (Circle the Letter Beside the Most Correct Answer in the Questions Below.)

MULTIPLE-CHOICE PROBLEMS :(Two marks per answer) (Circle the Letter Beside the Most Correct Answer in the Questions Below.) Test Midterm 1 F2013 MULTIPLE-CHOICE PROBLEMS :(Two marks per answer) (Circle the Letter Beside the Most Correct nswer in the Questions Below.) 1. The absolute viscosity µ of a fluid is primarily a function

More information

ME Thermodynamics I

ME Thermodynamics I HW-03 (25 points) i) Given: for writing Given, Find, Basic equations Rigid tank containing nitrogen gas in two sections initially separated by a membrane. Find: Initial density (kg/m3) of nitrogen gas

More information

ME 200 Final Exam December 12, :00 a.m. to 10:00 a.m.

ME 200 Final Exam December 12, :00 a.m. to 10:00 a.m. CIRCLE YOUR LECTURE BELOW: First Name Last Name 7:30 a.m. 8:30 a.m. 10:30 a.m. 1:30 p.m. 3:30 p.m. Mongia Abraham Sojka Bae Naik ME 200 Final Exam December 12, 2011 8:00 a.m. to 10:00 a.m. INSTRUCTIONS

More information