CHEN 3200 Fluid Mechanics Spring Homework 3 solutions


 Lesley Clarke
 3 years ago
 Views:
Transcription
1 Homework 3 solutions 1. An artery with an inner diameter of 15 mm contains blood flowing at a rate of 5000 ml/min. Further along the artery, arterial plaque has partially clogged the artery, reducing the area available for blood flow. When the person is lying down (the artery is horizontal), the pressure difference between the clean and clogged regions of the artery is 830 Pa. Determine how much (as a percentage) of the cross sectional area is clogged by the plaque. (15 points) Since!h=0, the governing equation becomes The velocity at point 1 is given by Solving the governing equation for p 1 p 2 gives The velocities are related by the continuity equation, V 2 =(A 1 /A 1 /A 2 )V 2 )V 1, 2 thus, thus The SG of blood is approximately 1.06, so the equation above
2 The SG of blood is approximately 1.06, so the equation above becomes Therefore, A 2 =0.35A 1, or 65% of the artery is blocked.
3 2. Benezne flows through a circular tube with an inside diameter of 50 mm. A bar, with a smooth rounded end, has a diameter of 40 mm and partially plugs the end of the tube where the fluid is released into a tank at atmospheric pressure. Assume uniform velocity profiles throughout the system. (a) What pressure is measured by the gage? (10 points) V 1 = 7 m/s (a) Since!h=0 and p 2 =0 (gage pressure), the governing equation becomes or, From the continutity equation, we can solve for V 2 =(A 1 /A 2 )V 1 =(D 2 /(D 2 d 2 ))V 1, where D=50 mm and d=40 mm. Plugging in these values, The pressure at point 1 is then given by (using SG benzene =0.876)
4 3. Two connected cylindrical chambers are filled with an incompressible fluid with SG=0.85. The chamber on the left is capped by a piston with a diameter of 10 cm. The chamber on the right has a diameter of 25 cm, and is also capped by a piston that supports the weight of a large stone block. (15 points) (a) If the cylinder and block have a total weight of 9800 N, what force must be applied to the piston on the left to hold the block at the height shown? (10 points) (b) If the block is to be raised 6 cm, how far must the piston on the left be pushed down? (3 points) (c) If some of the fluid in the left cylinder was replaced by air, would the system be more or less efficient for raising the block? Explain your answer. (2 points) F 3 m The area of the left and right cylinders is given by The pressure just below the cylinder on the right is equal to the weight of the piston and block, divided by the area That pressure is also equal to the pressure applied by the piston on the left, plus the weight of the fluid, i.e.
5 Solving for the force on the left gives Thus, the force applied on the left is considerably less than the weight of the cylinder and block on the right. This is the principle behind hydraulic lifts. The change in volume on the right when the piston is raised 6 cm must equal the change in volume in the left cylinder. The change in volume on the right is The distance the piston on the left must move is given by So, the force required to lift the piston and block on the right is small, but the piston on the left must be moved much further than the desired change in height on the right. The system would be less efficient. Air is compressible, so some of the force applied by the piston on the left would be used to compress the air, and less force would be transferred through the fluid to the piston on the right.
6 4. A cylindrical tank with diameter D is initially filled with fluid to a height of H+h 0. The fluid then exits the tank through a hole of diameter d, located a distance H above the bottom of the tank. (25 points) (a) Derive an expression for the dimensionless fluid height, h/h 0, as a function of time. (10 points) (b) Make a plot of h/h 0 versus t using D/d = 10, for values of h 0 = 0.2, 0.5 and 1 m. (3 points) (c) Make a plot of h/h 0 versus t using h 0 = 1 m, for values of D/d = 2, 5 and 10. (3 points) (d) Now, assume that the tank is continuously refilled to maintain a constant fluid height. If the fluid is ethanol, and H = 0.3 m and h 0 = 0.1 m, what will be the fluid velocity leaving the tank? (5 points) (e) For the same conditions as in (d), what is the horizontal distance from the edge of the tank that the jet of ethanol will strike the ground? (4 points) (a)
7
8 !"#$%!"! # $&'()*)$%%+#(%$,'%&"*')%./&'0%/0%$,'%1(#2"'3%)$$'3'0$4%5,'(' " h $ = 1! t h $ 0 # $ 2h 0 % g ' ( D / d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
9 Applying the Bernoulli equation between point 1 (the fluid at the top of the tank) and point 2 (just outside the hole in the tank), and making the assumptions/simplifications that p 1 =p 2 since both points are at atmospheric pressure, and that V 1 =0 since the fluid at the top of the tank is held constant, we have parallel to the ground We can use the classical equations of motion to calculate how far the fluid will travel before it hits the ground. In the downward z direction, the acceleration due to gravity is defined as  g Integrating this equation twice gives us where C1 and C2 are constants of integration. As boundary conditions, we can say that the initial velocity in the downward (z) direction is 0, implying that C1=0. Also, at t=0, the fluid is at the height of the hole. If we assign the ground to be z=0, then C2=0.3 m. The time taken for the fluid to reach the ground is then In this time, the fluid will have travelled to the right a distance of V 2 t, or
10 5. Water flows from a large tank and is expelled from the horizontal pipe to the right. Calculate the velocity and flow rate in the pipe. (15 points) Solution: Basic equation p V 2 gz ρ 2 const p ρ g h Q V A Assumptions: 1) Incompressible flow 2) Inviscid 3) Steady 4) Along a streamline Hence, applying Bernoulli between the free surface and the manometer location p atm ρ p ρ gh V 2 2 where we assume V Surface <<, and H = 4 m Hence p p atm ρ g H ρ V2 2 For the manometer p p atm Combining equations ρ g H ρ V2 2 SG Hg ρ g h 2 ρ g h 1 Note that we have water on one side and mercury on the other of the manometer SG Hg ρ g h 2 ρ g h 1 or V 2 g H SG Hg h 2 h 2 m Hence V s 2 ( ) m V 7.29 m s The flow rate is Q V π D2 4 Q π m 7.29 ( 0.05 m) 2 Q m3 4 s s
!! +! 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 informationm V DEFINITION OF MASS DENSITY The mass density of a substance is the mass of a substance divided by its volume: SI Unit of Mass Density: kg/m 3
Chapter 11 Fluids 11.1 Mass Density DEFINITION OF MASS DENSITY The mass density of a substance is the mass of a substance divided by its volume: ρ m V SI Unit of Mass Density: kg/m 3 11.1 Mass Density
More information5 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 informationMass 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 informationMECHANICAL PROPERTIES OF FLUIDS
CHAPTER10 MECHANICAL PROPERTIES OF FLUIDS QUESTIONS 1 marks questions 1. What are fluids? 2. How are fluids different from solids? 3. Define thrust of a liquid. 4. Define liquid pressure. 5. Is pressure
More informationTOPICS. Density. Pressure. Variation of Pressure with Depth. Pressure Measurements. Buoyant ForcesArchimedes Principle
Lecture 6 Fluids TOPICS Density Pressure Variation of Pressure with Depth Pressure Measurements Buoyant ForcesArchimedes Principle Surface Tension ( External source ) Viscosity ( External source ) Equation
More informationAER210 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 Nonprogrammable calculators allowed Instructor: Alis Ekmekci Family Name: Given Name:
More information11.1 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 informationThe 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 3D, unsteady (x, y, z, t; r,θ, z, t; etc) Let consider
More informationFLUID 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 informationPhysics 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 informationChapter 14. Lecture 1 Fluid Mechanics. Dr. Armen Kocharian
Chapter 14 Lecture 1 Fluid Mechanics Dr. Armen Kocharian States of Matter Solid Has a definite volume and shape Liquid Has a definite volume but not a definite shape Gas unconfined Has neither a definite
More informationChapter Four fluid flow mass, energy, Bernoulli and momentum
41Conservation of Mass Principle Consider a control volume of arbitrary shape, as shown in Fig (41). Figure (41): the differential control volume and differential control volume (Total mass entering
More informationFE 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 informationPressure in a fluid P P P P
Fluids Gases (compressible) and liquids (incompressible) density of gases can change dramatically, while that of liquids much less so Gels, colloids, liquid crystals are all oddball states of matter We
More informationChapter 4 DYNAMICS OF FLUID FLOW
Faculty Of Engineering at Shobra nd Year Civil  016 Chapter 4 DYNAMICS OF FLUID FLOW 41 Types of Energy 4 Euler s Equation 43 Bernoulli s Equation 44 Total Energy Line (TEL) and Hydraulic Grade Line
More informationm V DEFINITION OF MASS DENSITY The mass density of a substance is the mass of a substance divided by its volume: SI Unit of Mass Density: kg/m 3
Chapter Fluids . Mass Density DEFINITION OF MASS DENSITY The mass density of a substance is the mass of a substance divided by its volume: m V SI Unit of Mass Density: kg/m 3 . Mass Density . Mass Density
More informationChapter 11. Fluids. continued
Chapter 11 Fluids continued 11.2 Pressure Pressure is the amount of force acting on an area: Example 2 The Force on a Swimmer P = F A SI unit: N/m 2 (1 Pa = 1 N/m 2 ) Suppose the pressure acting on the
More informationFLUID 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 informationHOMEWORK 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 sprayguns operate by achieving a low pressure
More informationChapter 14. Fluid Mechanics
Chapter 14 Fluid Mechanics States of Matter Solid Has a definite volume and shape Liquid Has a definite volume but not a definite shape Gas unconfined Has neither a definite volume nor shape All of these
More informationStevens High School AP Physics II Work for Notschool
1. (AP SAMPLE QUESTION) An ideal fluid is flowing with a speed of 12 cm/s through a pipe of diameter 5 cm. The pipe splits into three smaller pipes, each with a diameter of 2 cm. What is the speed of the
More informationIn steady flow the velocity of the fluid particles at any point is constant as time passes.
Chapter 10 Fluids Fluids in Motion In steady flow the velocity of the fluid particles at any point is constant as time passes. Unsteady flow exists whenever the velocity of the fluid particles at a point
More informationWorksheet for Exploration 15.1: Blood Flow and the Continuity Equation
Worksheet for Exploration 15.1: Blood Flow and the Continuity Equation Blood flows from left to right in an artery with a partial blockage. A blood platelet is shown moving through the artery. How does
More informationCEE 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 1D 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 informationLecture 30 (Walker: ) Fluid Dynamics April 15, 2009
Physics 111 Lecture 30 (Walker: 15.67) Fluid Dynamics April 15, 2009 Midterm #2  Monday April 20 Chap. 7,Chap. 8 (not 8.5) Chap. 9 (not 9.6, 9.8) Chap. 10, Chap. 11 (not 11.89) Chap. 13 (not 13.68)
More informationFluids. Fluid = Gas or Liquid. Density Pressure in a Fluid Buoyancy and Archimedes Principle Fluids in Motion
Chapter 14 Fluids Fluids Density Pressure in a Fluid Buoyancy and Archimedes Principle Fluids in Motion Fluid = Gas or Liquid MFMcGrawPHY45 Chap_14HaFluidsRevised 10/13/01 Densities MFMcGrawPHY45 Chap_14HaFluidsRevised
More informationLiquids CHAPTER 13 FLUIDS FLUIDS. Gases. Density! Bulk modulus! Compressibility. To begin with... some important definitions...
CHAPTER 13 FLUIDS FLUIDS Liquids Gases Density! Bulk modulus! Compressibility Pressure in a fluid! Hydraulic lift! Hydrostatic paradox Measurement of pressure! Manometers and barometers Buoyancy and Archimedes
More informationCHAPTER 13. Liquids FLUIDS FLUIDS. Gases. Density! Bulk modulus! Compressibility. To begin with... some important definitions...
CHAPTER 13 FLUIDS Density! Bulk modulus! Compressibility Pressure in a fluid! Hydraulic lift! Hydrostatic paradox Measurement of pressure! Manometers and barometers Buoyancy and Archimedes Principle! Upthrust!
More informationIsentropic Flow. Gas Dynamics
Isentropic Flow Agenda Introduction Derivation Stagnation properties IF in a converging and convergingdiverging nozzle Application Introduction Consider a gas in horizontal sealed cylinder with a piston
More informationChapter 14  Fluids. Archimedes, On Floating Bodies. David J. Starling Penn State Hazleton PHYS 213. Chapter 14  Fluids. Objectives (Ch 14)
Any solid lighter than a fluid will, if placed in the fluid, be so far immersed that the weight of the solid will be equal to the weight of the fluid displaced. Archimedes, On Floating Bodies David J.
More informationChapter 9. Solids and Fluids. 1. Introduction. 2. Fluids at Rest. 3. Fluid Motion
Chapter 9 Solids and Fluids 1. Introduction 2. Fluids at Rest 3. Fluid Motion 1 States of Matter Solid Liquid Gas Plasma 2 Density and Specific Gravity What is Density? How do I calculate it? What are
More information4 Mechanics of Fluids (I)
1. The x and y components of velocity for a twodimensional 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 informationFigure 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 informationCEE 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 informationCONCEPTS AND DEFINITIONS. Prepared by Engr. John Paul Timola
CONCEPTS AND DEFINITIONS Prepared by Engr. John Paul Timola ENGINEERING THERMODYNAMICS Science that involves design and analysis of devices and systems for energy conversion Deals with heat and work and
More informationFluidi. Copyright 2015 John Wiley & Sons, Inc. All rights reserved.
Fluidi 11.1 Mass Density DEFINITION OF MASS DENSITY The mass density of a substance is the mass of a substance divided by its volume: m V SI Unit of Mass Density: kg/m3 11.1 Mass Density 11.1 Mass Density
More informationQ1 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 informationPhysics 207 Lecture 18
Physics 07, Lecture 8, Nov. 6 MidTerm Mean 58.4 (64.6) Median 58 St. Dev. 6 (9) High 94 Low 9 Nominal curve: (conservative) 8000 A 679 B or A/B 346 C or B/C 933 marginal 98 D Physics 07: Lecture 8,
More information3.25 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 informationExam 3PHYS 101F11Chapters 7, 8, & 9
ame: Exam 3PHYS 101F11Chapters 7, 8, & 9 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A 1500 kg truck must travel a maximum of 22 m/s around a
More informationThe online of midtermtests of Fluid Mechanics 1
The online of midtermtests 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 informationEric G. Paterson. Spring 2005
Eric G. Paterson Department of Mechanical and Nuclear Engineering Pennsylvania State University Spring 2005 Reading and Homework Read Chapter 3. Homework Set #2 has been posted. Due date: Friday 21 January.
More informationMASS, 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 informationPhysics 153 Introductory Physics II. Week One: FLUIDS. Dr. Joseph J. Trout
Physics 153 Introductory Physics II Week One: FLUIDS Dr. Joseph J. Trout joseph.trout@drexel.edu 6103486495 States (Phases) of Matter: Solid: Fixed shape. Fixed size. Even a large force will not readily
More informationCHAPTER 28 PRESSURE IN FLUIDS
CHAPTER 8 PRESSURE IN FLUIDS EXERCISE 18, Page 81 1. A force of 80 N is applied to a piston of a hydraulic system of crosssectional area 0.010 m. Determine the pressure produced by the piston in the hydraulic
More informationIntroduction to Marine Hydrodynamics
1896 1920 1987 2006 Introduction to Marine Hydrodynamics (NA235) Department of Naval Architecture and Ocean Engineering School of Naval Architecture, Ocean & Civil Engineering Shanghai Jiao Tong University
More informationFluid Mechanics61341
AnNajah National University College of Engineering Fluid Mechanics61341 Chapter [2] Fluid Statics 1 Fluid Mechanics2nd Semester 2010 [2] Fluid Statics Fluid Statics Problems Fluid statics refers to
More informationFluid 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 informationUnit C1: 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 informationFluid Mechanics. If deformation is small, the stress in a body is proportional to the corresponding
Fluid Mechanics HOOKE'S LAW If deformation is small, the stress in a body is proportional to the corresponding strain. In the elasticity limit stress and strain Stress/strain = Const. = Modulus of elasticity.
More informationPressure in stationary and moving fluid Lab Lab On On Chip: Lecture 2
Pressure in stationary and moving fluid LabOnChip: Lecture Lecture plan what is pressure e and how it s distributed in static fluid water pressure in engineering problems buoyancy y and archimedes law;
More informationStudy fluid dynamics. Understanding Bernoulli s Equation.
Chapter Objectives Study fluid dynamics. Understanding Bernoulli s Equation. Chapter Outline 1. Fluid Flow. Bernoulli s Equation 3. Viscosity and Turbulence 1. Fluid Flow An ideal fluid is a fluid that
More informationChapter 15: Fluid Mechanics Dynamics Using Pascal s Law = F 1 = F 2 2 = F 2 A 2
Lecture 24: Archimedes Principle and Bernoulli s Law 1 Chapter 15: Fluid Mechanics Dynamics Using Pascal s Law Example 15.1 The hydraulic lift A hydraulic lift consists of a small diameter piston of radius
More informationSignature: (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 informationLecture 27 (Walker: ) Fluid Dynamics Nov. 9, 2009
Physics 111 Lecture 27 (Walker: 15.57) Fluid Dynamics Nov. 9, 2009 Midterm #2  Monday Nov. 16 Chap. 7,Chap. 8 (not 8.5) Chap. 9 (not 9.6, 9.8) Chap. 10, Chap. 11 (not 11.89) Chap. 13 (not 13.68) Chap.
More informationChapter 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 information3.8 The First Law of Thermodynamics and the Energy Equation
CEE 3310 Control Volume Analysis, Sep 30, 2011 65 Review Conservation of angular momentum 1D 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 informationMEB41 Lab 1: Hydrostatics. Experimental Procedures
MEB41 Lab 1: Hydrostatics In this lab you will do four brief experiments related to the following topics: manometry, buoyancy, forces on submerged planes, and hydraulics (a hydraulic jack). Each experiment
More informationNicholas J. Giordano. Chapter 10 Fluids
Nicholas J. Giordano www.cengage.com/physics/giordano Chapter 10 Fluids Fluids A fluid may be either a liquid or a gas Some characteristics of a fluid Flows from one place to another Shape varies according
More informationPhysics 201 Chapter 13 Lecture 1
Physics 201 Chapter 13 Lecture 1 Fluid Statics Pascal s Principle Archimedes Principle (Buoyancy) Fluid Dynamics Continuity Equation Bernoulli Equation 11/30/2009 Physics 201, UWMadison 1 Fluids Density
More informationTridib s Physics Tutorials visit
Pressure  If F is the magnitude of this normal force on the piston of area A then the average pressure P av is defined as the normal force acting per unit area. P= F/A, Its dimensions are [ML 1 T 2 ].
More informationPage 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 informationChapter 10  Mechanical Properties of Fluids. The blood pressure in humans is greater at the feet than at the brain
Question 10.1: Explain why The blood pressure in humans is greater at the feet than at the brain Atmospheric pressure at a height of about 6 km decreases to nearly half of its value at the sea level, though
More information(Refer Slide Time: 0:28)
Engineering Thermodynamics Professor Jayant K Singh Department of Chemical Engineering Indian Institute of Technology Kanpur Lecture 08 Examples on basic concept & energy balance Welcome back! Myself Parul
More informationFluids. Fluids in Motion or Fluid Dynamics
Fluids Fluids in Motion or Fluid Dynamics Resources: Serway  Chapter 9: 9.79.8 Physics B Lesson 3: Fluid Flow Continuity Physics B Lesson 4: Bernoulli's Equation MIT  8: Hydrostatics, Archimedes' Principle,
More informationChapter 7 The Energy Equation
Chapter 7 The Energy Equation 7.1 Energy, Work, and Power When matter has energy, the matter can be used to do work. A fluid can have several forms of energy. For example a fluid jet has kinetic energy,
More informationStates of matter. Density high > high >> low (pressure dependent)
Fluids States of matter Solids Fluids crystalline amorphous liquids gasses Interatomic forces strong > strong >> very weak Density high > high >> low (pressure dependent) Density is an important material
More information10  FLUID MECHANICS Page 1
0  FLUID MECHANICS Page Introduction Fluid is a matter in a state which can flow. Liquids, gases, molten metal and tar are examples of fluids. Fluid mechanics is studied in two parts: ( i ) Fluid statics
More informationCunningham, Drew Homework 32 Due: Apr , 4:00 am Inst: Florin 1
Cunninham, Drew Homework 3 Due: Apr 1 006, 4:00 am Inst: Florin 1 This printout should have 10 questions. Multiplechoice questions may continue on the next column or pae find all choices before answerin.
More informationCHAPTER 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 informationIran University of Science & Technology School of Mechanical Engineering Advance Fluid Mechanics
1. Consider a sphere of radius R immersed in a uniform stream U0, as shown in 3 R Fig.1. The fluid velocity along streamline AB is given by V ui U i x 1. 0 3 Find (a) the position of maximum fluid acceleration
More informationChapter 9. Solids and Fluids 9.3 DENSITY AND PRESSURE
9.3 DENSITY AND PRESSURE Chapter 9 Solids and Fluids The density of an object having uniform composition is defined as its mass M divided by its volume V: M V [9.6] SI unit: kilogram per meter cubed (kg/m
More informationPhysics 107 HOMEWORK ASSIGNMENT #9
Physics 07 HOMEORK ASSIGNMENT #9 Cutnell & Johnson, 7 th edition Chapter : Problems 6, 8, 33, 40, 44 *6 A 58kg skier is going down a slope oriented 35 above the horizontal. The area of each ski in contact
More informationPhysics 107 HOMEWORK ASSIGNMENT #9b
Physics 07 HOMEWORK SSIGNMENT #9b Cutnell & Johnson, 7 th edition Chapter : Problems 5, 58, 66, 67, 00 5 Concept Simulation. reiews the concept that plays the central role in this problem. (a) The olume
More informationAtmospheric 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 informationChapter (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 informationACE Engineering College
ACE Engineering College Ankushapur (V), Ghatkesar (M), R.R.Dist 501 301. * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * MECHANICS OF FLUIDS & HYDRAULIC
More informationLesson 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 informationPhysics 3 Summer 1990 Lab 7  Hydrodynamics
Physics 3 Summer 1990 Lab 7  Hydrodynamics Theory Consider an ideal liquid, one which is incompressible and which has no internal friction, flowing through pipe of varying cross section as shown in figure
More information2.The lines that are tangent to the velocity vectors throughout the flow field are called steady flow lines. True or False A. True B.
CHAPTER 03 1. Write Newton's second law of motion. YOUR ANSWER: F = ma 2.The lines that are tangent to the velocity vectors throughout the flow field are called steady flow lines. True or False 3.Streamwise
More informationThermodynamic Systems
Thermodynamic Systems For purposes of analysis we consider two types of Thermodynamic Systems: Closed System  usually referred to as a System or a Control Mass. This type of system is separated from its
More information10/9/2017 LET S PERFORM 4 EXPERIMENTS: UNIT 1 FLUID STATICS AND DYNAMICS CHAPTER 11 FLUIDS IN MOTION SNORING BERNOULLI'S PRINCIPLE
1/9/17 AP PHYSICS LET S PERFORM 4 EXPERIMENTS: 1. Cans on a string. UNIT 1 FLUID STATICS AND DYNAMICS CHAPTER 11 FLUIDS IN MOTION. Blowing a piece of paper. 3. Index card & straw. 4. Ping Pong ball and
More informationObjectives. 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 informationChapter 10. Solids & Liquids
Chapter 10 Solids & Liquids Next 6 chapters use all the concepts developed in the first 9 chapters, recasting them into a form ready to apply to specific physical systems. 10.1 Phases of Matter, Mass Density
More informationGeneral Physics I (aka PHYS 2013)
General Physics I (aka PHYS 2013) PROF. VANCHURIN (AKA VITALY) University of Minnesota, Duluth (aka UMD) OUTLINE CHAPTER 12 CHAPTER 19 REVIEW CHAPTER 12: FLUID MECHANICS Section 12.1: Density Section 12.2:
More information1.4 Perform the following unit conversions: (b) (c) s. g s. lb min. (d) (e) in. ft s. m 55 h. (f) ft s. km h. (g)
1.4 Perform the following unit conversions: 0.05 ft 1 in. (a) 1L 61in. 1L 1ft (b) 1kJ 650 J 10 J 1Btu 1.0551kJ 0.616 Btu (c) 41 Btu/h 0.15 kw 1kW 1h 600 s 778.17 ft lbf 1Btu ft lbf 99.596 s (d) g 78 s
More informationLagrangian description from the perspective of a parcel moving within the flow. Streamline Eulerian, tangent line to instantaneous velocity field.
Chapter 2 Hydrostatics 2.1 Review Eulerian description from the perspective of fixed points within a reference frame. Lagrangian description from the perspective of a parcel moving within the flow. Streamline
More informationChapter 12. Fluid Mechanics. A. The density ρ of a substance of uniform composition is defined as its mass M divided by its volume V.
Chapter 12 Fluid Mechanics 12.1 Density A. The density ρ of a substance of uniform composition is defined as its mass M divided by its volume V. That is,! = M V The density of water at 4 o C is 1000 kg/m
More informationI N V E S T I C E D O R O Z V O J E V Z D Ě L Á V Á N Í
MECHNICS O LUIDS luids are both liquids and gases. The common property of fluids is that the particles can be separated easily (liquids do not have their own shape etc.). Real fluids have something like
More informationRate 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 informationPhysics 207 Lecture 22. Lecture 22
Goals: Lecture Chapter 15 Use an idealfluid model to study fluid flow. Investigate the elastic deformation of solids and liquids Chapter 16 Recognize and use the state variables that characterize macroscopic
More informationAnNajah National University Civil Engineering Departemnt. Fluid Mechanics. Chapter [2] Fluid Statics
AnNajah National University Civil Engineering Deartemnt Fluid Mechanics Chater [2] Fluid Statics 1 Fluid Statics Problems Fluid statics refers to the study of fluids at rest or moving in such a manner
More informationApplied 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 informationPHY121 Physics for the Life Sciences I
PHY Physics for the Life Sciences I Lecture 0. Fluid flow: kinematics describing the motion. Fluid flow: dynamics causes and effects, Bernoulli s Equation 3. Viscosity and Poiseuille s Law for narrow tubes
More informationMECHANICAL PROPERTIES OF FLUIDS:
Important Definitions: MECHANICAL PROPERTIES OF FLUIDS: Fluid: A substance that can flow is called Fluid Both liquids and gases are fluids Pressure: The normal force acting per unit area of a surface is
More informationAnswers 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 informationMULTIPLECHOICE PROBLEMS:(Two marks per answer) (Circle the Letter Beside the Most Correct Answer in the Questions Below.)
MULTIPLECHOICE 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 informationFluids II (Fluids in motion)
hys0 Lectures 67 Fluids II (Fluids in motion) Key points: Bernoulli s Equation oiseuille s Law Ref: 08,9,0,,. age 08 Fluids in Motion; Flow Rate and the Equation of Continuity If the flow of a fluid
More informationPhysics  Fluids. Read Page 174 (Density) TQ1. A fluid is what type of matter? TQ2. What is fluid mechanics? TQ3. What is the equation for density?
Homework Procedure: Read pages specified in Honors Physics Essentials by Dan Fullerton. Questions labeled TQ will be questions about the text you read. These TQ s can be answered in one word, one phrase,
More information