Middle East Technical University Department of Mechanical Engineering ME 305 Fluid Mechanics I Fall 2018 Section 4 (Dr.
|
|
- Silvia Hopkins
- 5 years ago
- Views:
Transcription
1 Middle East Technical University Department of Mechanical Engineering ME 305 Fluid Mechanics I Fall 2018 Section 4 (Dr. Sert) Study Set 7 Reading Assignment R1. Read the section Common Dimensionless Groups in Fluid Mechanics section in Munson s book. R2. Read the section Correlation of Experimental Data section in Munson s book. 1. Provide one or two sentence definitions of the following terms geometric similarity Cavitation number kinematic similarity Froude number dynamic similarity Mach number incomplete similarity Cauchy number Reynolds number Weber number Euler number Strouhal number 2. (Munson) It is desired to determine the wave height when wind blows across a lake. The wave height, H, is assumed to be a function of the wind speed, V, the water density, ρ, the air density, ρ a, the water depth, d, the distance from the shore, l, and the acceleration of gravity, g. Use d, V, and ρ as repeating variables to determine π groups that could be used to describe this problem. 3. (Fox) When a small tube is dipped into a pool of liquid, surface tension causes a meniscus to form at the free surface, which is elevated or depressed depending on the contact angle at the liquidsolid-gas interface. Experiments indicate that the magnitude of this capillary effect, Δh, is a function of the tube diameter, D, liquid specific weight, γ, and surface tension, σ. Determine the π groups. 4. (Fox) The load-carrying capacity, W, of a journal bearing is known to depend on its diameter, D, length, l, and clearance, c, in addition to its angular speed, ω, and lubricant viscosity, μ. Determine the Pi groups that characterize this problem. 1
2 5. (Aksel) The power of a turbomachine, P, depends on the impeller diameter, D, fluid properties ρ and μ, volumetric flow rate, Q, head, h and the angular speed, ω. Determine the Pi groups. 6. (Fox) The rate dt/dt at which the temperature T at the center of a rice kernel falls during a food technology process is critical. Too high a value leads to cracking of the kernel, and too low a value makes the process slow and costly. The rate depends on the rice specific heat, c, thermal conductivity, k, and size, L, as well as the cooling air specific heat, c p, density, ρ, viscosity, μ, and speed, V. Determine the π groups. 7. (Aksel) The performance of a hydraulic torque converter can be expressed in terms of the transmitted torque, T, angular speed ω, diameter D, and density, ρ. a) Determine the nondimensional π groups. b) It is required to determine the torque transmitted at an angular speed of 1500 rpm. For this reason, a 1:4 scale model is built. The transmitted torque is measured as 10 N when the model is running at 3000 rpm. The same hydraulic oil is used both in the model and the prototype. 8. (Aksel) The pressure drop p in a Venturi meter depends on the fluid properties ρ and μ, pipe diameter, D, throat diameter, d, and the velocity of the fluid, V, in the pipe. a) Determine the π groups. b) A Venturi meter, which is used to measure the flow rate of gasoline (ρ = 700 kg/m 3, μ = Pa s) at 0.15 m 3 /s is to be tested in the laboratory by using water (ρ = 1000 kg/m 3, μ = Pa s). In the laboratory, the pressure drop is measured to be 5 kpa when the velocity in the pipe is 4 m/s. If the pipe diameter of the prototype flow is 0.15 m, determine the corresponding pressure drop. Also determine the required volumetric flow rate of the water. 9. (Fox) It is harder to achieve dynamic similarity in tests of large trucks and buses; models must be made to smaller scale than those for automobiles. A large scale for truck and bus testing is 1:8. To achieve complete dynamic similarity by matching Reynolds numbers at this scale would require a test speed of 700 km/h. What similarity issues, if any, will arise in such an experiment? 10. (Munson) When a fluid flows slowly past a vertical plate of height h and width b, pressure develops on the face of the plate. Assume that the pressure, p, at the midpoint of the plate is a function of plate height and width, the approach velocity, V, and the fluid viscosity, μ. Make use 2
3 of dimensional analysis to determine how the pressure, p, will change when the fluid velocity, V, is doubled. 11. (Munson) The spillway for the dam is 20 m wide and is designed to carry 125 m 3 /s at flood stage. A 1:15 model is constructed to study the flow characteristics through the spillway. The effects of viscosity is to be neglected. a) Determine the required model width and flow rate based on Froude number similarity. b) What operating time for the model corresponds to a 24 h period in the prototype? 12. (Munson) If an airplane travels at a speed of 1120 km/h at an altitude of 15 km, what is the required speed at an altitude of 8 km to satisfy Mach number similarity? Assume the air properties correspond to those for the U.S. standard atmosphere. 13. (Munson) The pressure drop between the entrance and exit of a 150 mm diameter 90 o elbow, through which ethyl alcohol at 20 o C is flowing, is to be determined with a geometrically similar model. The velocity of the alcohol is 5 m/s. The model fluid is to be water at 20 o C, and the model velocity is limited to 10 m/s. a) What is the required diameter of the model elbow to maintain dynamic similarity? b) A measured pressure drop of 20 kpa in the model will correspond to what prototype value? 14. (Çengel) Consider the common situation in which a researcher is trying to match the Reynolds number of a large prototype vehicle with that of a small-scale model in a wind tunnel. Is it better for the air in the wind tunnel to be cold or hot? Why? Support your argument by comparing wind tunnel air at 10 C and at 45 C, all else being equal. 15. (Çengel) Some wind tunnels are pressurized. Discuss why a research facility would go through all the extra trouble and expense to pressurize a wind tunnel. If the air pressure in the tunnel increases by a factor of 2, all else being equal (same wind speed, same model, etc.), by what factor will the Reynolds number increase? 16. (Fox) The fluid dynamic characteristics of a golf ball are to be tested using a model in a wind tunnel. Dependent parameters are the drag force, F D, and lift force, F L, on the ball. The independent parameters should include angular speed, ω, and dimple depth, d. Determine suitable dimensionless parameters and express the functional dependence among them. A golf pro can hit a ball at V = 75 m/s and ω = 8100 rpm. To model these conditions in a wind tunnel with a 3
4 maximum speed of 25 m/s, what diameter model should be used? How fast must the model rotate? (The diameter of a U.S. golf ball is 4.27 cm) 17. (Munson) The pressure drop per unit length, Δp l, for the flow of blood through a horizontal small-diameter tube is a function of the volume rate of flow, Q, the diameter, D, and the blood viscosity, μ. For a series of tests in which D = 2 mm and μ = Pa s, the shown data were obtained, where the Δp listed was measured over the length, l = 300 mm. Perform a dimensional analysis for this problem, and make use of the data given to determine a general relationship between Δp l and Q (a relationship that is valid for other values of D, l, and μ). 18. (Çengel) A student team is to design a humanpowered submarine for a design competition. The overall length of the prototype submarine is 4.85 m, and its student designers hope that it can travel fully submerged through water at 0.44 m/s. The water is freshwater (a lake) at T = 15 C. The design team builds a one-fifth scale model to test in their university s wind tunnel. A shield surrounds the drag balance strut so that the aerodynamic drag of the strut itself does not influence the measured drag. The air in the wind tunnel is at 25 C and at one standard atmosphere pressure. At what air speed do they need to run the wind tunnel in order to achieve similarity? If they measure a drag force of 6 N on their model, what is the actual drag force on the prototype? 19. (Çengel) Repeat the previous problem with all the same conditions except that the only facility available to the students is a much smaller wind tunnel. Their model submarine is a one-twentyseventh scale model instead of a one-fifth scale model. At what air speed do they need to run the wind tunnel in order to achieve similarity? Do you notice anything disturbing or suspicious about your result? 4
5 20. (Çengel) The aerodynamic drag of a new sports car is to be predicted at a speed of 90 km/h at an air temperature of 25 C. Automotive engineers build a one-third scale model of the car to test in a wind tunnel. The temperature of the wind tunnel air is also 25 C. The drag force is measured with a drag balance, and the moving belt is used to simulate the moving ground (from the car s frame of reference). Determine how fast the engineers should run the wind tunnel to achieve similarity between the model and the prototype. 21. (Munson) In order to maintain uniform flight, smaller birds must beat their wings faster than larger birds. It is suggested that the relationship between the wingbeat frequency, ω, beats per second, and the bird s wingspan, l, is given by a power law relationship, ω ~ l n. Use dimensional analysis with the assumption that the wingbeat frequency is a function of the wingspan, the specific weight of the bird, γ, the acceleration of gravity, g, and the density of the air, ρ a, to determine the value of the exponent n. 22. (Munson) A liquid flows with a velocity V through a hole in the side of a large tank. Assume that V = f(h, g, ρ, σ) where h is the depth of fluid above the hole, g is the acceleration of gravity, ρ the fluid density, and σ the surface tension. The following data were obtained by changing h and measuring V, with a fluid having a density = 10 3 kg/m 3 and surface tension = N/m. Plot these data by using appropriate dimensionless variables. Could any of the original variables have been omitted? 23. (Munson) The time, t, it takes to pour a certain volume of liquid from a cylindrical container depends on several factors, including the viscosity of the liquid. Assume that for very viscous liquids the time it takes to pour out two-thirds of the initial volume depends on the initial liquid depth, l, the cylinder diameter, D, the liquid viscosity, μ, and the liquid specific weight, γ. The data shown in the following table were obtained in the laboratory. For these tests l = 45 mm, D = 67 mm, and γ = 9.6 kn/m 3. Perform a dimensional analysis, and based on the data given, determine if variables used for this problem appear to be correct. Explain how you arrived at your answer. 5
Middle East Technical University Department of Mechanical Engineering ME 305 Fluid Mechanics I Fall 2018 Section 4 (Dr.
Reading Assignments Middle East Technical University Department of Mechanical Engineering ME 305 Fluid Mechanics I Fall 2018 Section 4 (Dr. Sert) Study Set 1 You can find the answers of some of the following
More informationCE 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 information1.The pressure drop per unit length that develops due to friction cannot generally be solved analytically. A. True B. False
CHAPTER 07 1.The pressure drop per unit length that develops due to friction cannot generally be solved analytically. 2.A qualitative description of physical quantities can be given in terms of. YOUR ANSWER:
More informationAEROSPACE ENGINEERING DEPARTMENT. Second Year - Second Term ( ) Fluid Mechanics & Gas Dynamics
AEROSPACE ENGINEERING DEPARTMENT Second Year - Second Term (2008-2009) Fluid Mechanics & Gas Dynamics Similitude,Dimensional Analysis &Modeling (1) [7.2R*] Some common variables in fluid mechanics include:
More informationTutorial 10. Boundary layer theory
Tutorial 10 Boundary layer theory 1. If the velocity distribution law in a laminar boundary layer over a flat plate is assumes to be of the form, determine the velocity distribution law. At y = 0, u= 0
More informationUNIT V : DIMENSIONAL ANALYSIS AND MODEL STUDIES
UNIT V : DIMENSIONAL ANALYSIS AND MODEL STUDIES 1. Define dimensional analysis. Dimensional analysis is a mathematical technique which makes use of the study of dimensions as an aid to solution of several
More informationFluids. Fluids in Motion or Fluid Dynamics
Fluids Fluids in Motion or Fluid Dynamics Resources: Serway - Chapter 9: 9.7-9.8 Physics B Lesson 3: Fluid Flow Continuity Physics B Lesson 4: Bernoulli's Equation MIT - 8: Hydrostatics, Archimedes' Principle,
More informationS.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 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 informationUNIT -5. Dimensional Analysis. Model Analysis. Fundamental Dimensions Dimensional Homogeneity Method of analysis
UNIT -5 Dimensional Analysis Fundamental Dimensions Dimensional Homogeneity Method of analysis Rayleigh Method Buckingham pi theorem Method Model Analysis Dimensionless parameters Similitude and model
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 informationCHAPTER 6 Fluids Engineering. SKMM1922 Introduction of Mechanical Engineering
CHAPTER 6 Fluids Engineering SKMM1922 Introduction of Mechanical Engineering Chapter Objectives Recognize the application of fluids engineering to such diverse fields as microfluidics, aerodynamics, sports
More informationR09. d water surface. Prove that the depth of pressure is equal to p +.
Code No:A109210105 R09 SET-1 B.Tech II Year - I Semester Examinations, December 2011 FLUID MECHANICS (CIVIL ENGINEERING) Time: 3 hours Max. Marks: 75 Answer any five questions All questions carry equal
More informationV. MODELING, SIMILARITY, AND DIMENSIONAL ANALYSIS To this point, we have concentrated on analytical methods of solution for fluids problems.
V. MODELING, SIMILARITY, AND DIMENSIONAL ANALYSIS To this point, we have concentrated on analytical methods of solution for fluids problems. However, analytical methods are not always satisfactory due
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 informationUNIT IV DIMENSIONAL AND MODEL ANALYSIS
UNIT IV DIMENSIONAL AND MODEL ANALYSIS INTRODUCTION Dimensional analysis is a method of dimensions. It is a mathematical technique used in research work for design and for conducting model tests. It deals
More informationPerformance. 5. More Aerodynamic Considerations
Performance 5. More Aerodynamic Considerations There is an alternative way of looking at aerodynamic flow problems that is useful for understanding certain phenomena. Rather than tracking a particle of
More informationINTRODUCTION DEFINITION OF FLUID. U p F FLUID IS A SUBSTANCE THAT CAN NOT SUPPORT SHEAR FORCES OF ANY MAGNITUDE WITHOUT CONTINUOUS DEFORMATION
INTRODUCTION DEFINITION OF FLUID plate solid F at t = 0 t > 0 = F/A plate U p F fluid t 0 t 1 t 2 t 3 FLUID IS A SUBSTANCE THAT CAN NOT SUPPORT SHEAR FORCES OF ANY MAGNITUDE WITHOUT CONTINUOUS DEFORMATION
More informationIt is important to develop a meaningful and systematic way to perform an experiment.
Chapter 7: Dimensional Analysis, Modeling and Similitude. The solution to many engineering problems is achieved through the use of a combination of analysis and experimental data. One of the goals of an
More informationBUCKINGHAM PI THEOREM
BUCKINGHAM PI THEOREM Dimensional Analysis It is used to determine the equation is right or wrong. The calculation is depends on the unit or dimensional conditions of the equations. For example; F=ma F=MLT
More informationHomework of chapter (1) (Solution)
بسم اهلل الرمحن الرحيم The Islamic University of Gaza, Civil Engineering Department, Fluid mechanics-discussion, Instructor: Dr. Khalil M. Al Astal T.A: Eng. Mohammed H El Nazli Eng. Sarah R Rostom First
More informationThe 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 informationIt is important to develop a meaningful and systematic way to perform an experiment.
Chapter 7: Dimensional Analysis, Modeling and Similitude. The solution to many engineering problems is achieved through the use of a combination of analysis and experimental data. One of the goals of an
More informationDimensional and Model Analysis
Dimensional and Model Analysis 5.1 Fundamental dimensions 5.2 Rayleigh s and Buckingham s method 5.3 Dimension less numbers and their significance 5.4 Hydraulic similitude 5.5 Type of models 5.6 Distorted
More informationChapter 7 DIMENSIONAL ANALYSIS AND SIMILITUDE Because so few real flows can be solved exactly by analytical methods alone, the development of fluid
Chapter 7 DIMENSIONAL ANALYSIS AND SIMILITUDE Because so few real flows can be solved exactly by analytical methods alone, the development of fluid mechanics has depended heavily on experimental results.
More informationUNIT 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 information1. Introduction, fluid properties (1.1, 2.8, 4.1, and handouts)
1. Introduction, fluid properties (1.1, 2.8, 4.1, and handouts) Introduction, general information Course overview Fluids as a continuum Density Compressibility Viscosity Exercises: A1 Fluid mechanics Fluid
More informationChapter 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 informationSPC Aerodynamics Course Assignment Due Date Monday 28 May 2018 at 11:30
SPC 307 - Aerodynamics Course Assignment Due Date Monday 28 May 2018 at 11:30 1. The maximum velocity at which an aircraft can cruise occurs when the thrust available with the engines operating with the
More informationApproximate physical properties of selected fluids All properties are given at pressure kn/m 2 and temperature 15 C.
Appendix FLUID MECHANICS Approximate physical properties of selected fluids All properties are given at pressure 101. kn/m and temperature 15 C. Liquids Density (kg/m ) Dynamic viscosity (N s/m ) Surface
More informationLecture 30 (Walker: ) Fluid Dynamics April 15, 2009
Physics 111 Lecture 30 (Walker: 15.6-7) 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 11.8-9) Chap. 13 (not 13.6-8)
More informationTheory and Fundamental of Fluid Mechanics
1 2 Lecture (1) on Fayoum University Theory and Fundamental of Fluid Mechanics By Dr. Emad M. Saad Mechanical Engineering Dept. Faculty of Engineering Fayoum University Faculty of Engineering Mechanical
More informationBUCKINGHAM PI THEOREM
BUCKINGHAM PI THEOREM Dimensional Analysis It is used to determine the equation is right or wrong. The calculation is depends on the unit or dimensional conditions of the equations. For example; F=ma F=MLT
More informationFluid Mechanics c) Orificemeter a) Viscous force, Turbulence force, Compressible force a) Turbulence force c) Integration d) The flow is rotational
Fluid Mechanics 1. Which is the cheapest device for measuring flow / discharge rate. a) Venturimeter b) Pitot tube c) Orificemeter d) None of the mentioned 2. Which forces are neglected to obtain Euler
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 informationDetailed Outline, M E 320 Fluid Flow, Spring Semester 2015
Detailed Outline, M E 320 Fluid Flow, Spring Semester 2015 I. Introduction (Chapters 1 and 2) A. What is Fluid Mechanics? 1. What is a fluid? 2. What is mechanics? B. Classification of Fluid Flows 1. Viscous
More information1.060 Engineering Mechanics II Spring Problem Set 1
1.060 Engineering Mechanics II Spring 2006 Due on Tuesday, February 21st Problem Set 1 Important note: Please start a new sheet of paper for each problem in the problem set. Write the names of the group
More informationContents. I Introduction 1. Preface. xiii
Contents Preface xiii I Introduction 1 1 Continuous matter 3 1.1 Molecules................................ 4 1.2 The continuum approximation.................... 6 1.3 Newtonian mechanics.........................
More informationAPPLIED FLUID DYNAMICS HANDBOOK
APPLIED FLUID DYNAMICS HANDBOOK ROBERT D. BLEVINS H imhnisdia ttodisdiule Darmstadt Fachbereich Mechanik 'rw.-nr.. [VNR1 VAN NOSTRAND REINHOLD COMPANY ' ' New York Contents Preface / v 1. Definitions /
More informationPhysics Courseware Physics I
Definition of pressure: Force P = Area Physics Courseware Physics I Bernoulli Hydrostatics equation: PB PA = ρgh 1 1 Bernoulli s equation: P 1 + ρv1 + ρgh1 = P + ρv + ρgh Problem 1.- In a carburetor (schematically
More informationWhat s important: viscosity Poiseuille's law Stokes' law Demo: dissipation in flow through a tube
PHYS 101 Lecture 29x - Viscosity 29x - 1 Lecture 29x Viscosity (extended version) What s important: viscosity Poiseuille's law Stokes' law Demo: dissipation in flow through a tube Viscosity We introduced
More informationVALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur
VALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur 603 203 DEPARTMENT OF CIVIL ENGINEERING QUESTION BANK III SEMESTER CE 8302 FLUID MECHANICS Regulation 2017 Academic Year 2018 19 Prepared by Mrs.
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 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 informationFinal 1. (25) 2. (10) 3. (10) 4. (10) 5. (10) 6. (10) TOTAL = HW = % MIDTERM = % FINAL = % COURSE GRADE =
MAE101B: Advanced Fluid Mechanics Winter Quarter 2017 http://web.eng.ucsd.edu/~sgls/mae101b_2017/ Name: Final This is a three hour open-book exam. Please put your name on the top sheet of the exam. Answer
More information2 Navier-Stokes Equations
1 Integral analysis 1. Water enters a pipe bend horizontally with a uniform velocity, u 1 = 5 m/s. The pipe is bended at 90 so that the water leaves it vertically downwards. The input diameter d 1 = 0.1
More informationFlowmeter 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 informationLecture 27 (Walker: ) Fluid Dynamics Nov. 9, 2009
Physics 111 Lecture 27 (Walker: 15.5-7) 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 11.8-9) Chap. 13 (not 13.6-8) Chap.
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 informationTHE INDIAN COMMUNITY SCHOOL,KUWAIT PHYSICS SECTION-A
THE INDIAN COMMUNITY SCHOOL,KUWAIT CLASS:XI MAX MARKS:70 PHYSICS TIME ALLOWED : 3HOURS ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ General Instructions:
More informationWRITE ALL YOUR CALCULATIONS IN THE BLUEBOOK PUT YOUR NAME AND THE TEST IN THE BLUEBOOK AND HAND IN
Physics 6B - MWF - Midterm 1 Test #: A Name: Perm #: Section (10-11 or 12-1): You MUST put the TEST # in the first answer bubble. The TA will explain. YOU MUST do this or the test will not be graded. WRITE
More informationρ mixture = m mixture /V = (SG antifreeze ρ water V antifreeze + SG water ρ water V water )/V, so we get
CHAPTER 10 1. When we use the density of granite, we have m = ρv = (.7 10 3 kg/m 3 )(1 10 8 m 3 ) =.7 10 11 kg.. When we use the density of air, we have m = ρv = ρlwh = (1.9 kg/m 3 )(5.8 m)(3.8 m)(.8 m)
More information10.52 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 informationChapter 1 Fluid and their Properties
June -15 Jan - 16 GTU Paper Analysis (New Syllabus) Chapter 1 Fluid and their Properties Sr. No. Questions Theory 2. Explain the following terms: Relative density 2. Kinematic viscosity 3. Cavitation 4.
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 informationEXAMPLE SHEET FOR TOPIC 3 AUTUMN 2013
EXAMPLE SHEET FOR TOPIC ATMN 01 Q1. se dimensional analysis to investigate how the capillary rise h of a liquid in a tube varies with tube diameter d, gravity g, fluid density ρ, surface tension σ and
More informationIntroduction to Mechanical Engineering
Introduction to Mechanical Engineering Chapter 1 The Mechanical Engineering Profession Chapter Problem-Solving and Communication Skills Chapter 3 Forces in Structures and Machines Chapter 4 Materials and
More informationHydromechanics: Course Summary
Hydromechanics: Course Summary Hydromechanics VVR090 Material Included; French: Chapters to 9 and 4 + Sample problems Vennard & Street: Chapters 8 + 3, and (part of it) Roberson & Crowe: Chapter Collection
More informationTOPICS. Density. Pressure. Variation of Pressure with Depth. Pressure Measurements. Buoyant Forces-Archimedes Principle
Lecture 6 Fluids TOPICS Density Pressure Variation of Pressure with Depth Pressure Measurements Buoyant Forces-Archimedes Principle Surface Tension ( External source ) Viscosity ( External source ) Equation
More informationCEE 3310 Dimensional Analysis & Similitude, Oct. 22,
CEE 3310 Dimensional Analysis & Similitude, Oct., 018 115 5.5 Review vorticity twice the local rotation rate: ω x = w y v z, ω y = u z w x, ω z = v x u y Dimensional Analysis Buckingham Pi Theorem: k =
More informationIntroductory Physics PHYS101
Introductory Physics PHYS101 Dr Richard H. Cyburt Office Hours Assistant Professor of Physics My office: 402c in the Science Building My phone: (304) 384-6006 My email: rcyburt@concord.edu TRF 9:30-11:00am
More informationPlease remember all the unit that you use in your calculation. There are no marks for correct answer without unit.
CHAPTER 1 : PROPERTIES OF FLUIDS What is fluid? A fluid is defined as a substance that deforms continuously when acted on by a shearing stress at any magnitude. In a fluid at rest, normal stress is called
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 informationUNIT III DIMENSIONAL ANALYSIS
UNIT III DIMENSIONAL ANALYSIS INTRODUCTION Dimensional analysis is one of the most important mathematical tools in the study of fluid mechanics. It is a mathematical technique, which makes use of the study
More informationPh.D. Qualifying Exam in Fluid Mechanics
Student ID Department of Mechanical Engineering Michigan State University East Lansing, Michigan Ph.D. Qualifying Exam in Fluid Mechanics Closed book and Notes, Some basic equations are provided on an
More informationScaling and Dimensional Analysis
Scaling and Dimensional Analysis Understanding the role of dimensions and the use of dimensionless numbers for evaluating the forces in a system so that the correct assumptions about it can be made and
More informationDimensional Analysis (Partial Analysis)
Dimensional Analysis (Partial Analysis) DA is a mathematical method of considerable value to problems in science and engineering especially physics and fluid mechanics. All physical quantities can usually
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 informationPhysics P201 D. Baxter/R. Heinz. EXAM #3 November 21, :00 9:00 PM INSTRUCTIONS
Seat # Your exam is form 1. Physics P201 D. Baxter/R. Heinz EXAM #3 November 21, 2002 7:00 9:00 PM INSTRUTIONS 1. Please indicate which form (1, 2, 3, or 4) exam you have by marking the appropriate bubble
More informationCENG 501 Examination Problem: Estimation of Viscosity with a Falling - Cylinder Viscometer
CENG 501 Examination Problem: Estimation of Viscosity with a Falling - Cylinder Viscometer You are assigned to design a fallingcylinder viscometer to measure the viscosity of Newtonian liquids. A schematic
More informationMULTIPLE-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 informationThe E80 Wind Tunnel Experiment the experience will blow you away. by Professor Duron Spring 2012
The E80 Wind Tunnel Experiment the experience will blow you away by Professor Duron Spring 2012 Objectives To familiarize the student with the basic operation and instrumentation of the HMC wind tunnel
More informationUNIT II CONVECTION HEAT TRANSFER
UNIT II CONVECTION HEAT TRANSFER Convection is the mode of heat transfer between a surface and a fluid moving over it. The energy transfer in convection is predominately due to the bulk motion of the fluid
More informationWhat we know about Fluid Mechanics. What we know about Fluid Mechanics
What we know about Fluid Mechanics 1. Survey says. 3. Image from: www.axs.com 4. 5. 6. 1 What we know about Fluid Mechanics 1. MEB (single input, single output, steady, incompressible, no rxn, no phase
More informationLECTURE 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 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 informationSimilitude and Dimensional Analysis. CE Fluid Mechanics Diogo Bolster
Similitude and Dimensional Analysis CE30460 - Fluid Mechanics Diogo Bolster Goals of Chapter Apply Pi Theorem Develop dimensionless variables for a given flow situation Use dimensional variables in data
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 informationPROPERTIES 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 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 informationCHEN 3200 Fluid Mechanics Spring Homework 3 solutions
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
More informationPhysics 220: Classical Mechanics
Lecture /33 Phys 0 Physics 0: Classical Mechanics Lecture: MWF 8:40 am 9:40 am (Phys 4) Michael Meier mdmeier@purdue.edu Office: Phys Room 38 Help Room: Phys Room schedule on course webpage Office Hours:
More informationn = Kinematic viscosity (cst) SG = specific gravity or 1 Poise = 100 cp 1 Stoke = 100 cst Q = capacity (m 3 /s) A = tube area (m 2 ) or
Fmulas Designation Fmula Comments Product Viscosity n = m r n = Kinematic viscosity (mm /s) m = Absolute viscosity (mpa.s) n = m SG n = Kinematic viscosity (cst) m = Absolute viscosity (cp) m = n SG 1
More informationMechanical 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 informationDimensions represent classes of units we use to describe a physical quantity. Most fluid problems involve four primary dimensions
BEE 5330 Fluids FE Review, Feb 24, 2010 1 A fluid is a substance that can not support a shear stress. Liquids differ from gasses in that liquids that do not completely fill a container will form a free
More informationHydraulic Engineering
PDHonline Course H146 (4 PDH) Hydraulic Engineering Instructor: Mohamed Elsanabary, Ph.D., Prov. Lic. Engineering. 2013 PDH Online PDH Center 5272 Meadow Estates Drive Fairfax, VA 22030-6658 Phone & Fax:
More informationMCE380: Measurements and Instrumentation Lab
MCE380: Measurements and Instrumentation Lab Chapter 8: Flow Measurements Topics: Basic Flow Equations Flow Obstruction Meters Positive Displacement Flowmeters Other Methods Holman, Ch. 7 Cleveland State
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 informationChapter 9 Solids and Fluids. Elasticity Archimedes Principle Bernoulli s Equation
Chapter 9 Solids and Fluids Elasticity Archimedes Principle Bernoulli s Equation States of Matter Solid Liquid Gas Plasmas Solids: Stress and Strain Stress = Measure of force felt by material Stress= Force
More informationFluid Mechanics Testbank By David Admiraal
Fluid Mechanics Testbank By David Admiraal This testbank was created for an introductory fluid mechanics class. The primary intentions of the testbank are to help students improve their performance on
More informationP = 1 3 (σ xx + σ yy + σ zz ) = F A. It is created by the bombardment of the surface by molecules of fluid.
CEE 3310 Thermodynamic Properties, Aug. 27, 2010 11 1.4 Review A fluid is a substance that can not support a shear stress. Liquids differ from gasses in that liquids that do not completely fill a container
More informationINSTITUTE 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 informationSteven Burian Civil & Environmental Engineering September 25, 2013
Fundamentals of Engineering (FE) Exam Mechanics Steven Burian Civil & Environmental Engineering September 25, 2013 s and FE Morning ( Mechanics) A. Flow measurement 7% of FE Morning B. properties Session
More informationDimensional Analysis and Similarity
Dimensional Analysis and Similarity Introduction - The Purposes and Usefulness of Dimensional Analysis Dimensional analysis is a very powerful tool, not just in fluid mechanics, but in many disciplines.
More informationEmpirical Co - Relations approach for solving problems of convection 10:06:43
Empirical Co - Relations approach for solving problems of convection 10:06:43 10:06:44 Empirical Corelations for Free Convection Use T f or T b for getting various properties like Re = VL c / ν β = thermal
More informationChapter 9 Fluids. Pressure
Chapter 9 Fluids States of Matter - Solid, liquid, gas. Fluids (liquids and gases) do not hold their shapes. In many cases we can think of liquids as being incompressible. Liquids do not change their volume
More informationAnnouncements. The continuity equation Since the fluid is incompressible, the fluid flows faster in the narrow portions of the pipe.
nnouncements Exam reakdown on Lectures link Exam Wednesday July 8. Last name -K McCC 00, L-Z CSE 0 Reviews Sunday 7:00-9:00, Monday 5:30-7:30, Tuesday 5:30-7:00 N 00 Finish Chapter 9 today Last time we
More informationLecture 4. Lab this week: Cartridge valves Flow divider Properties of Hydraulic Fluids. Lab 8 Sequencing circuit Lab 9 Flow divider
91 Lecture 4 Lab this week: Lab 8 Sequencing circuit Lab 9 Flow divider Cartridge valves Flow divider Properties of Hydraulic Fluids Viscosity friction and leakage Bulk modulus Inertance Cartridge Valves
More informationLiquids and solids are essentially incompressible substances and the variation of their density with pressure is usually negligible.
Properties of Fluids Intensive properties are those that are independent of the mass of a system i.e. temperature, pressure and density. Extensive properties are those whose values depend on the size of
More informationTURBOMACHINES. VIJAYAVITHAL BONGALE Associate Professor and Head Department of Mechanical Engineering Malnad College of Engineering, Hassan
TURBOMACHINES VIJAYAVITHAL BONGALE Associate Professor and Head Department of Mechanical Engineering Malnad College of Engineering, Hassan 573 201. Mobile No:9448821954 E-mail : vvb@mcehassan.ac.in 1 Dimensional
More information