ME3560 Tentative Schedule Spring 2019


 Shona Newton
 2 years ago
 Views:
Transcription
1 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/ Introduction to course, syllabus and class policies. Math Review. Differentiation. Wednesday 1/9/ Math Review. Integration Monday 1/14/ Math Review. Differential Equations 2 Wednesday 1/16/ Ch. 1. Introduction. Brief history of FM*. Definition of a fluid. Continuum. the Non Slip condition*. Classification of flows*. System and control volume*. Dimensions, dimensional homogeneity and units; modeling in engineering. density; specific weight; specific gravity. Relation between viscosity and rate of shearing strain; vapor pressure; cavitation. Monday 1/21/2019 M. L. K. Day 3 Wednesday 1/23/ Cont. Ch. 1. Introduction. 1.1, 1.2, 1.4, 1.6, 1.8. HW , 1.31, 1.57, 1.64, 1.79, 1.80, 1.81, 1.85, /30/2019
2 4 Monday 1/28/ Wednesday 1/30/ Cont. Ch. 1. Introduction. Ch. 2. Fluid Statics. Pressure at a point; basic equation for a pressure field; pressure variation in a fluid at rest. Measurement of pressure. Manometry. Mechanical and Electronic Pressure Measuring Devices. Cont. Ch. 2. Hydrostatic force on a plane surface. Hydrostatic force on a curved surface HW , 2.39, 2.49, 2.54, 2.58, HW , SP2.18, SP2.19, SP2.20 2/4/2019 2/6/ Monday 2/4/ Wednesday 2/6/ Cont. Ch. 2. Hydrostatic force on a curved surface. Buoyancy Ch. 3. Elementary Fluid Dynamics, Bernoulli s Eq. Newton s Second Law; F=ma along a streamline; static, stagnation, dynamic and total pressure. Examples of use of the Bernoulli equation (free jets, confined flows, flow rate measurement). 3.2, 3.2, 3.5, 3.6, HW , 2.127, 2.130, 2.131, 2.145, SP2.25, SP2.28, SP2.31. HW , 3.19, , 3.82, 3.66, 3.67, /11/2019 2/13/ Monday 2/11/ Ch. 4. Fluid Kinematics. Velocity field; Eulerian vs. Lagrangian flow descriptions; 1, 2, and 3 Dimensional flows; steady and unsteady flows; streamlines, streaklines, and pathlines. The acceleration field; material derivative; unsteady effects; convective effects; control Volume and systems representations; the Reynolds Transport Theorem; selection of a control volume. 4.1, , 4.2, , 4.4, HW , 4.10, 4.20, 4.26, 4.27, 4.33, 4.39, /20/2019 Wednesday 2/13/ TEST 1. Chapters 1 and 2
3 7 8 Monday 2/18/ Wednesday 2/20/ Monday 2/25/ Ch. 5. Finite Control Volume Analysis. Conservation of mass the continuity eqn.; derivation of the Continuity eqn.; fixed non deforming C. V.; moving non deforming C. V.; deforming C. V. Cont. Ch. 5. Newton s Second Law the linear momentum eqn.; derivation of the linear momentum eqn.; application of the linear momentum eqn. Cont. Ch. 5. First Law of Thermodynamics the energy eqn.; derivation of the energy eqn.; application of the energy eqn.; comparison of the energy equation with Bernoulli s eqn. 5.1, , 5.2.1, , HW , 5.6, 5.11, 5.14, 5.22, 5.27, 5.37, SP5.6, 5.46, SP5.10, 5.67, SP5.21, SP5.22. HW , 5.111, 5.116, 5.119, SP5.127, SP5.56 3/11/2019 3/11/2019 Wednesday 2/27/2019 Cont. Ch. 5. First Law of Thermodynamics the energy eqn. Spring Break 9 Monday 3/11/2019 Ch. 6. Differential Analysis of Fluid Flow. Fluid element kinematics; velocity and acceleration; linear motion and deformation; angular motion and deformation; conservation of mass; differential form of continuity equation; the stream function. 6.1, 6.2, 6.2.1, 6.2.3, Handout 1. HW , 6.5, 6.7, 6.12, 6.14, , 6.36, SP6.4, SP6.26, SP6.27 3/20/2019 Wednesday 3/13/ TEST 2. Chapters 3 and 4
4 10 Monday 3/18/ Cont. Ch. 6. Conservation of linear momentum; Description of forces acting on the differential element; equations of motion; inviscid flow; irrotational flow; Bernoulli s Eqn. for irrotational flow; the velocity potential; some basic plane potential flows; superposition of basic plane potential flows. 6.3, 6.3.1, 6.3.2, 6.4, 6.4.1, 6.4.3, 6.4.5, 6.5, , 6.6, , Handout 2. HW , 6.43, 6.59, 6.61, 6.56, HW MATLAB assignment 3/27/2019 Wednesday 3/20/ Cont. Ch. 6. Some basic plane potential flows; superposition of basic plane potential flows. 11 Monday 3/25/ Cont. Ch. 6. Viscous flow; stress deformation relationships; N S equations; some simple solutions for viscous incompressible fluids; steady laminar flow between fixed parallel plates; Couette flow; steady laminar flow in circular tubes; steady, axial, laminar flow in an annulus. 6.8, 6.8.1, 6.8.2, 6.9, , Handout 3. HW , 6.85, 6.88, /1/2019 Wednesday 3/27/ Cont. Ch. 6. Some simple solutions for viscous incompressible fluids. 12 Monday 4/1/ Ch. 7. Dimensional analysis and similitude. Dimensional analysis; Buckingham Pi theorem; determination of Pi terms; selection of variables; determination of reference dimensions; common dimensionless groups in fluid mechanics. Modeling and similitude; theory of models; model scales; flow through closed conduits; flow around immersed bodies. Modeling and similitude; theory of models; model scales; flow through closed conduits; flow around immersed bodies HW , 7.15, 7.19, 7.49, 7.58, /8/2019 Wednesday 4/3/ TEST 3. Chapters 5 and 6
5 13 Monday 4/8/ Ch. 8. Viscous flow in pipes. General characteristics of pipe flow; laminar or turbulent flow; entrance region and fully developed flow; pressure and shear stress; fully developed laminar flow; from F = ma applied to a fluid element; fully developed turbulent flow; transition from laminar to turbulent flow; dimensional analysis of pipe flow; major losses; minor losses. 8.1, , 8.2, 8.2.1, 8.3, 8.3.1, 8.4, 8.4.1, 8.4.2, 8.5, HW , 8.11, 8.18, 8.30, 8.79, 8.81, 8.84, /15/2019 Wednesday 4/10/2019 Cont. Ch. 8. Viscous flow in pipes. 14 Monday 4/15/ TEST 4. Chapters 7 and 8 Wednesday 4/17/ Final Review in Preparation for Final Exam Final Exam: Thursday 12:30 pm
6 SP The rigid gate, OAB, shown in the figure below, is hinged at O and rests against a rigid support at B. What minimum horizontal force, P, is required to hold the gate closed if its width is 2.0 m? Neglect the weight of the gate and friction in the hinge. The back of the gate is exposed to the atmosphere. (Assume the specific weight of water is 9800 N/m 3.) SP The gate shown is hinged at H. The gate is 1.6 m wide normal to the plane of the diagram. Calculate the force required at A to hold the gate closed. (Assume the density of water is 999 kg/m 3 and g = 9.81 m/sec 2.)
7 SP The gate AOC shown is 6.3 ft wide and is hinged along O. Neglecting the weight of the gate, determine the force (in lbf) in bar AB. The gate is sealed at C. (Assume the density of water is 1.94 slug/ft 3 and g = 32.2 ft/sec 2.) SP 2.25 Determine the hydrostatic force vector (in lbf) acting on the radial gate if the gate is 40 ft long (normal to the page). (Assume the density of water is 1.94 slug/ft 3 and g = 32.2 ft/sec 2. The resultant force vector should be expressed in the following format: 5i 0.25j > (5*i)(0.25*j) where i and j are unit vectors in the x and ydirections.)
8 SP 2.28 Liquid concrete is poured into the form shown (R = m). The form is w = 4.9 m wide normal to the diagram. Compute: a) the magnitude of the vertical force exerted on the form by the concrete (in kn), b) the horizontal distance (in m) from the center of curvature of the form to a point along which the vertical force acts. (Assume the specific gravity of concrete is 2.5, the density of water is 1000 kg/m 3 and g = 9.81 m/sec 2.) SP 2.31 A volume of material (V = 1.06 ft 3 ) weighing 67 lbf is allowed to sink in water as shown. A circular wooden rod 10 ft long and 3 in 2 in cross section is attached to the weight and also to the wall. If the rod weighs 3 lbf, what will be the angle,, in degrees, for equilibrium? (Assume the density of water is 1.94 slug/ft 3 and g = 32.2 ft/sec 2. )
9 SP 5.6 A hydraulic accumulator is designed to reduce pressure pulsations in a machine tool hydraulic system. For the instant shown, determine the rate at which the accumulator gains or loses hydraulic oil (in ft 3 /sec) if Q = 5.67 gpm. (Assume the specific gravity of water is 1.94 slug/ft 3 and the specific gravity of hydraulic fluid is 0.88.) SP 5.8 Water flows steadily from a tank mounted on a cart as shown in the figure below. After the water jet leaves the nozzle of the tank, it falls and strikes a vane attached to another cart. The cart's wheels are frictionless, and the fluid is inviscid. a) Determine the speed of the water leaving the tank (in m/sec), V1, b) Determine the speed of the water leaving the second cart (in m/sec), V2, c) Determine the tension in rope A (in N), and d) Determine the tension in rope B (in N) (Assume the density of water is 999 kg/m 3 and g = 9.81 m/sec 2.)
10 SP 5.10 A jet of water issuing from a stationary nozzle at 14.0 m/sec (Aj = 0.07 m 2 ) strikes a turning vane mounted on a cart as shown. The vane turns the jet through an angle = 60 o. Determine the value of M (in kg) required to hold the cart stationary. (Assume the density of water is 999 kg/m 3 and g = 9.81 m/sec 2.) SP 5.17 The nozzle shown discharges a sheet of water through a 180 o arc. The water speed is 17.3 m/sec and the jet thickness is 30 mm at a radial distance of 0.3 m from the centerline of the supply pipe. Find: a) the volume flow rate of water in the jet sheet (in m 3 /sec). b) the ycomponent of force (in kn) required to hold the nozzle in place. (Assume the density of water is 999 kg/m 3.)
11 SP 5.21 A steady jet of water is used to propel a small cart along a horizontal track as shown below. Total resistance to motion of the cart assembly is given by FD = k U 2, where k = 0.79 Nsec 2 /m 2. Evaluate the acceleration of the cart (in m/sec 2 ) at the instant when its speed is U = 10 m/sec. (Assume the density of water is 999 kg/m 3.) SP 5.22 A vane slider assembly moves under the influence of a liquid jet as shown below. The coefficient of kinetic friction for motion of the slider along the surface is = Calculate: a) the acceleration of the slider (in m/sec 2 ) at the instant when U = 10.3 m/sec. b) the terminal speed of the slider (in m/sec). (Assume g = 9.81 m/sec 2.) SP 5.56
12 SP 5.127
13 In addition, answer the following questions.
14 Concept: Pressure changes for a flow in a pipe are dependent on the flow velocities, elevation change, the transfer of mechanical work, and frictional losses. (a) What is the specific weight of the water? νw = (b) What is the specific weight of the mercury? νmer = lbf/ft^3 lbf/ft^3 (c) What is the static pressure difference from section (1) to section (2) as reflected by the manometer (use minus sign if decrease)? ΔP = lbf/ft^2 (d) What is the pressure difference from section (1) to section (2) due to elevation change (use minus sign if decrease)? ΔPe = lbf/ft^2 (e) What is the change in dynamic pressure from section (1) to section (2) (use minus sign if decrease)? ΔPd = lbf/ft^2 (f) What is the net change in pressure from section (1) to section (2)? ΔPnet = lbf/ft^2 (g) What is the magnitude of the loss in energy per unit mass from section (1) to section (2)? loss = ftlbf/slug SP5.127Part 2 Solve for the axial force due to friction at the pipe wall acting on the flow. (a) What is the crosssectional area of the pipe? A = ft^2 (b) What is the net force due to pressure for the flow from section (1) to section (2)? Fnet = lbf (c) What is the volume of the fluid in the pipe between section (1) and section (2)? V = ft^3 (d) What is the magnitude of the weight of the fluid in the pipe between section (1) and section (2)? w = lbf
15 (e) What is the component of weight acting in the axial flow direction? wa = lbf (f) What is the change in momentum flux between section (1) and section (2)? ΔR = lbf (g) What is the magnitude of the frictional force acting on the flow? Rx = lbf SP 6.4 Consider the following velocity field: where A = 0.25 m 1 sec 1, B is a constant, and the coordinates are measured in meters. The flow is incompressible. Evaluate the magnitude of the component of acceleration (in m/sec 2 ) of a particle normal to the velocity vector at point (x,y) = (1,4). SP 6.26 The stream function for an incompressible, twodimensional flow field is ψ = 8y 4y 2. Is this an irrotational flow? SP 6.27 A twodimensional, incompressible flow is given by u =  y and v = x. Determine the equation of the streamline passing through the point x = 6 and y = 0.
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 informationFundamentals of Fluid Mechanics
Sixth Edition Fundamentals of Fluid Mechanics International Student Version BRUCE R. MUNSON DONALD F. YOUNG Department of Aerospace Engineering and Engineering Mechanics THEODORE H. OKIISHI Department
More informationCLASS SCHEDULE 2013 FALL
CLASS SCHEDULE 2013 FALL Class # or Lab # 1 Date Aug 26 2 28 Important Concepts (Section # in Text Reading, Lecture note) Examples/Lab Activities Definition fluid; continuum hypothesis; fluid properties
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 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 informationENGINEERING FLUID MECHANICS. CHAPTER 1 Properties of Fluids
CHAPTER 1 Properties of Fluids ENGINEERING FLUID MECHANICS 1.1 Introduction 1.2 Development of Fluid Mechanics 1.3 Units of Measurement (SI units) 1.4 Mass, Density, Specific Weight, Specific Volume, Specific
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 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 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 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 : III B. Tech Year : 0 0 Course Coordinator
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: IIB.Tech & ISem Course & Branch:
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 informationBenha 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 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 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 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 informationFluid Dynamics Exercises and questions for the course
Fluid Dynamics Exercises and questions for the course January 15, 2014 A two dimensional flow field characterised by the following velocity components in polar coordinates is called a free vortex: u r
More informationChapter 1 INTRODUCTION
Chapter 1 INTRODUCTION 11 The Fluid. 12 Dimensions. 13 Units. 14 Fluid Properties. 1 11 The Fluid: It is the substance that deforms continuously when subjected to a shear stress. Matter Solid Fluid
More informationV/ 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 nonuniform flow Laminar and Turbulent flow Compressible and incompressible flow Rotational and irrotational
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 informationProf. 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 informationNPTEL Quiz Hydraulics
Introduction NPTEL Quiz Hydraulics 1. An ideal fluid is a. One which obeys Newton s law of viscosity b. Frictionless and incompressible c. Very viscous d. Frictionless and compressible 2. The unit of kinematic
More informationPart 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 informationMULTIPLECHOICE PROBLEMS :(Two marks per answer) (Circle the Letter Beside the Most Correct Answer in the Questions Below.)
Test Midterm 1 F2013 MULTIPLECHOICE 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 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 informationProcess Fluid Mechanics
Process Fluid Mechanics CENG 2220 Instructor: Francesco Ciucci, Room 2577A (Lift 2729), Tel: 2358 7187, email: francesco.ciucci@ust.hk. Office Hours: Tuesday 17:0018:00 or by email appointment Teaching
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 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 informationUNIT II. Buoyancy and Kinematics of Fluid Motion
SIDDHARTH GROUP OF INSTITUTIONS :: PUTTUR Siddharth Nagar, Narayanavanam Road 517583 QUESTION BANK (DESCRIPTIVE) Subject with Code : FM(15A01305) Year & Sem: IIB.Tech & ISem Course & Branch: B.Tech 
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 informationMOMENTUM PRINCIPLE. Review: Last time, we derived the Reynolds Transport Theorem: Chapter 6. where B is any extensive property (proportional to mass),
Chapter 6 MOMENTUM PRINCIPLE Review: Last time, we derived the Reynolds Transport Theorem: where B is any extensive property (proportional to mass), and b is the corresponding intensive property (B / m
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 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 informationExperiment To determine the coefficient of impact for vanes. Experiment To determine the coefficient of discharge of an orifice meter.
SUBJECT: FLUID MECHANICS VIVA QUESTIONS (M.E 4 th SEM) Experiment To determine the coefficient of impact for vanes. Q1. Explain impulse momentum principal. Ans1. Momentum equation is based on Newton s
More informationFE 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 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 informationB.E/B.Tech/M.E/M.Tech : Chemical Engineering Regulation: 2016 PG Specialisation : NA Sub. Code / Sub. Name : CH16304 FLUID MECHANICS Unit : I
Department of Chemical Engineering B.E/B.Tech/M.E/M.Tech : Chemical Engineering Regulation: 2016 PG Specialisation : NA Sub. Code / Sub. Name : CH16304 FLUID MECHANICS Unit : I LP: CH 16304 Rev. No: 00
More informationENGR 292 Fluids and Thermodynamics
ENGR 292 Fluids and Thermodynamics Scott Li, Ph.D., P.Eng. Mechanical Engineering Technology Camosun College Jan.13, 2017 Review of Last Class Course Outline Class Information Contact Information, Website
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 informations and FE X. A. Flow measurement B. properties C. statics D. impulse, and momentum equations E. Pipe and other internal flow 7% of FE Morning Session I
Fundamentals of Engineering (FE) Exam General Section Steven Burian Civil & Environmental Engineering October 26, 2010 s and FE X. A. Flow measurement B. properties C. statics D. impulse, and momentum
More informationR09. d water surface. Prove that the depth of pressure is equal to p +.
Code No:A109210105 R09 SET1 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 informationCOURSE 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 informationLecture 2 Flow classifications and continuity
Lecture 2 Flow classifications and continuity Dr Tim Gough: t.gough@bradford.ac.uk General information 1 No tutorial week 3 3 rd October 2013 this Thursday. Attempt tutorial based on examples from today
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 informationEXPERIMENT No.1 FLOW MEASUREMENT BY ORIFICEMETER
EXPERIMENT No.1 FLOW MEASUREMENT BY ORIFICEMETER 1.1 AIM: To determine the coefficient of discharge of the orifice meter 1.2 EQUIPMENTS REQUIRED: Orifice meter test rig, Stopwatch 1.3 PREPARATION 1.3.1
More informationACE Engineering College
ACE Engineering College Ankushapur (V), Ghatkesar (M), R.R.Dist 501 301. * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * MECHANICS OF FLUIDS & HYDRAULIC
More informationBasic 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 informationLecture 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 informationvector 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 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 informationFluid Dynamics: Theory, Computation, and Numerical Simulation Second Edition
Fluid Dynamics: Theory, Computation, and Numerical Simulation Second Edition C. Pozrikidis m Springer Contents Preface v 1 Introduction to Kinematics 1 1.1 Fluids and solids 1 1.2 Fluid parcels and flow
More informationThe 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 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 informationWilliam В. Brower, Jr. A PRIMER IN FLUID MECHANICS. Dynamics of Flows in One Space Dimension. CRC Press Boca Raton London New York Washington, D.C.
William В. Brower, Jr. A PRIMER IN FLUID MECHANICS Dynamics of Flows in One Space Dimension CRC Press Boca Raton London New York Washington, D.C. Table of Contents Chapter 1 Fluid Properties Kinetic Theory
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 informationEngineering Fluid Mechanics
Engineering Fluid Mechanics Eighth Edition Clayton T. Crowe WASHINGTON STATE UNIVERSITY, PULLMAN Donald F. Elger UNIVERSITY OF IDAHO, MOSCOW John A. Roberson WASHINGTON STATE UNIVERSITY, PULLMAN WILEY
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 informationTherefore, 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 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 informationBERNOULLI EQUATION. The motion of a fluid is usually extremely complex.
BERNOULLI EQUATION The motion of a fluid is usually extremely complex. The study of a fluid at rest, or in relative equilibrium, was simplified by the absence of shear stress, but when a fluid flows over
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 informationFluid Mechanics. Spring 2009
Instructor: Dr. YangCheng Shih Department of Energy and Refrigerating AirConditioning Engineering National Taipei University of Technology Spring 2009 Chapter 1 Introduction 11 General Remarks 12 Scope
More informationcos(θ)sin(θ) Alternative Exercise Correct Correct θ = 0 skiladæmi 10 Part A Part B Part C Due: 11:59pm on Wednesday, November 11, 2015
skiladæmi 10 Due: 11:59pm on Wednesday, November 11, 015 You will receive no credit for items you complete after the assignment is due Grading Policy Alternative Exercise 1115 A bar with cross sectional
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 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 informationPhysical Science and Engineering. Course Information. Course Number: ME 100
Physical Science and Engineering Course Number: ME 100 Course Title: Course Information Basic Principles of Mechanics Academic Semester: Fall Academic Year: 20162017 Semester Start Date: 8/21/2016 Semester
More informationBACHELOR OF TECHNOLOGY IN MECHANICAL ENGINEERING (COMPUTER INTEGRATED MANUFACTURING)
No. of Printed Pages : 6 BME028 BACHELOR OF TECHNOLOGY IN MECHANICAL ENGINEERING (COMPUTER INTEGRATED MANUFACTURING) TermEnd Examination December, 2011 00792 BME028 : FLUID MECHANICS Time : 3 hours
More informationCALIFORNIA POLYTECHNIC STATE UNIVERSITY Mechanical Engineering Department ME 347, Fluid Mechanics II, Winter 2018
CALIFORNIA POLYTECHNIC STATE UNIVERSITY Mechanical Engineering Department ME 347, Fluid Mechanics II, Winter 2018 Date Day Subject Read HW Sept. 21 F Introduction 1, 2 24 M Finite control volume analysis
More information4 Finite Control Volume Analysis Introduction Reynolds Transport Theorem Conservation of Mass
iv 2.3.2 Bourdon Gage................................... 92 2.3.3 Pressure Transducer................................ 93 2.3.4 Manometer..................................... 95 2.3.4.1 Piezometer................................
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 informationCE MECHANICS OF FLUIDS
CE60  MECHANICS OF FLUIDS (FOR III SEMESTER) UNIT II FLUID STATICS & KINEMATICS PREPARED BY R.SURYA, M.E Assistant Professor DEPARTMENT OF CIVIL ENGINEERING DEPARTMENT OF CIVIL ENGINEERING SRI VIDYA COLLEGE
More informationChemical and Biomolecular Engineering 150A Transport Processes Spring Semester 2017
Chemical and Biomolecular Engineering 150A Transport Processes Spring Semester 2017 Objective: Text: To introduce the basic concepts of fluid mechanics and heat transfer necessary for solution of engineering
More informationConservation of Momentum using Control Volumes
Conservation of Momentum using Control Volumes Conservation of Linear Momentum Recall the conservation of linear momentum law for a system: In order to convert this for use in a control volume, use RTT
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 informationFor 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 informationPrinciples of Convection
Principles of Convection Point Conduction & convection are similar both require the presence of a material medium. But convection requires the presence of fluid motion. Heat transfer through the: Solid
More informationMAE 3130: Fluid Mechanics Lecture 7: Differential Analysis/Part 1 Spring Dr. Jason Roney Mechanical and Aerospace Engineering
MAE 3130: Fluid Mechanics Lecture 7: Differential Analysis/Part 1 Spring 2003 Dr. Jason Roney Mechanical and Aerospace Engineering Outline Introduction Kinematics Review Conservation of Mass Stream Function
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 informationV (r,t) = i ˆ u( x, y,z,t) + ˆ j v( x, y,z,t) + k ˆ w( x, y, z,t)
IV. DIFFERENTIAL RELATIONS FOR A FLUID PARTICLE This chapter presents the development and application of the basic differential equations of fluid motion. Simplifications in the general equations and common
More information1. Introduction, tensors, kinematics
1. Introduction, tensors, kinematics Content: Introduction to fluids, Cartesian tensors, vector algebra using tensor notation, operators in tensor form, Eulerian and Lagrangian description of scalar and
More informationdynamics of f luids in porous media
dynamics of f luids in porous media Jacob Bear Department of Civil Engineering Technion Israel Institute of Technology, Haifa DOVER PUBLICATIONS, INC. New York Contents Preface xvii CHAPTER 1 Introduction
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 information2 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 informationDifferential relations for fluid flow
Differential relations for fluid flow In this approach, we apply basic conservation laws to an infinitesimally small control volume. The differential approach provides point by point details of a flow
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 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 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 information6.1 Momentum Equation for Frictionless Flow: Euler s Equation The equations of motion for frictionless flow, called Euler s
Chapter 6 INCOMPRESSIBLE INVISCID FLOW All real fluids possess viscosity. However in many flow cases it is reasonable to neglect the effects of viscosity. It is useful to investigate the dynamics of an
More informationConsider 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 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 informationChapter 5 Control Volume Approach and Continuity Equation
Chapter 5 Control Volume Approach and Continuity Equation Lagrangian and Eulerian Approach To evaluate the pressure and velocities at arbitrary locations in a flow field. The flow into a sudden contraction,
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 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 informationOutlines. simple relations of fluid dynamics Boundary layer analysis. Important for basic understanding of convection heat transfer
Forced Convection Outlines To examine the methods of calculating convection heat transfer (particularly, the ways of predicting the value of convection heat transfer coefficient, h) Convection heat transfer
More informationMechanical Engineering Science for Medical Engineers Level: 4 Credit value: 8 GLH: 62 TQT: 80
This unit has 6 learning outcomes. 1. Be able to solve engineering problems that involve variable and constant acceleration motion. 1.1. Apply dimensional analysis to an equation involving units of length,
More informationAngular momentum equation
Angular momentum equation For angular momentum equation, B =H O the angular momentum vector about point O which moments are desired. Where β is The Reynolds transport equation can be written as follows:
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 5. FLOW IN PIPES 5.1.3. Pressure and Shear Stress
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 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 information1 FLUIDS AND THEIR PROPERTIES
FLUID MECHANICS CONTENTS CHAPTER DESCRIPTION PAGE NO 1 FLUIDS AND THEIR PROPERTIES PART A NOTES 1.1 Introduction 1.2 Fluids 1.3 Newton s Law of Viscosity 1.4 The Continuum Concept of a Fluid 1.5 Types
More information