Incompressible Viscous Flows
|
|
- Julia O’Brien’
- 6 years ago
- Views:
Transcription
1 Incompressible Viscous Flows Q. Choose the crect answer (i) The maximum velocit of a one-dimensional incompressible full developed viscous flow between two fixed parallel plates is 6m/s. The mean velocit of the flow is (a) m/s (b) m/s (c) m/s (d) 5 m/s [Ans.(c)] (ii) Loss of head due to fluid friction f stead, full developed, incompressible laminar flow through circular pipe is (a) QL hf gd (b) 8QL hf gd (c) 8QL hf gd (d) 6QL hf gd [Ans.(c)] (iii) The velocit profile of a full developed laminar flow in a straight circular pipe r is given b, where dp is the constant, R is the radius of R the pipe and r is the radial distance from the centre of the pipe. The average velocit of fluid in the pipe is (a) (b) (c) (d) 8 [Ans.(d)] (iv) F full developed, incompressible, laminar flow through circular pipes, shear stress varies (a) linearl with the radial distance from the axis (b) parabolicall with the radial distance from the axis (c) exponentiall with the radial distance from the axis (d) linearl with the radial distance from the pipe wall [Ans.(a)]
2 Q. Water at 0 C flows between two large stationar parallel plates which are cm apart. If the maximum velocit is m/s, determine (a) average velocit, (b) the velocit gradients at the plates and (c) the difference in pressure between two points 0 m apart. Viscosit of water at 0 C is 0.00 Pa-s. Consider the flow to be a full developed one. The flow geometr is shown in the figure below. x p p cm 0 m (a) The velocit distribution f full developed flow between two stationar hizontal parallel plates can be expressed as dp u where is channel half height and is measured from the centerline. The maximum velocit is obtained as dp umax The mean velocit is obtained from the above velocit field as uda ud 0 dp u A From the above expressions f mean velocit and maximum velocit, one can write u umax Substituting umax m/s in the above equation, we get u u m/s max (b) Substituting the values of u and in the velocit profile, one can write u The velocit gradients at the plates are u
3 /s (c) The mean velocit is given b dp u dp u The pressure gradient can be expressed as dp p p L where p and p are the pressures at point and respectivel, and L is the distance between the two points. Then, the difference in pressure between two points L distance apart can be expressed as ul p p Substituting the respective values in the above equation, we have p p 00 N/m 0.0 Q. An oil of viscosit 0. Ns/m and densit 900 kg/m is flowing between two stationar hizontal parallel plates 0 mm apart. The maximum velocit is m/s. Find the mean velocit and the location at which this occurs. Also find the velocit at mm from the wall of the plates. Consider the flow to be a full developed one. The velocit distribution f full developed flow between two stationar hizontal parallel plates can be expressed as dp u where is channel half height and is measured from the centerline. The maximum velocit is obtained as dp umax The mean velocit is obtained from the above velocit field as uda ud 0 dp u A From the above expressions f mean velocit and maximum velocit, one can write u umax Substituting umax m/s in the above equation, we get u m/s Now, it is given that u u
4 dp dp Substituting the value of, we get m.885 mm The velocit distribution can be expressed in terms average velocit as u u Substituting the respective values in the above equation, we have u The velocit at mm from the plates equivalentl 5 mm 0.00 m from the centerline is u m/s Q. An oil with densit and viscosit flows between two hizontal parallel plates apart. The upper plate is moving with a unifm speed U, while the lower one is kept stationar. A constant pressure gradient of dp drives the flow in such a wa that the net flow rate across an section is zero. Find out the point where maximum velocit occurs. Also find the magnitude of maximum velocit. The flow geometr and the velocit profile across a section are shown in the figure below. U dp x The governing differential equation is du dp d Integrating the above equation twice with respect to, we get
5 du dp C d dp u CC where C and C are constants of integration. To evaluate the constants, we appl the boundar conditions. The boundar conditions are: at 0, u 0 at, u U. Appling the boundar conditions, we get U dp C and C 0 Therefe, the velocit distribution becomes dp U u The volume flow rate is given b Q uwd w width of the plate 0 dp w U d 0 dp U w F zero flow rate ( Q 0 ), we have dp U w 0 dp 6U u F maximum velocit, 0 dp U 0 dp dp U U dp U 6U 6 5
6 The maximum velocit is dp U u 6U U U U U U U 9 Q5. Find the radial location in a stead, full developed, laminar flow in a circular hizontal pipe where the local velocit is equal to the average velocit The velocit distribution f stead, full developed, laminar flow in a circular pipe is given b R dp r R where R is the radius of the pipe, r is the radial distance measured from center of the pipe and dp is the constant pressure gradient that drives the flow. Average velocit is found to be R rdr Q o A R R R dp rdr R 8 Now, it is given that R dp r R 8 o r R R r R 0.707R Q6. An oil with densit 900 kg/m and viscosit 0.6 Ns/m is flowing through a 0 cm diameter pipe. The maximum shear stress at the pipe wall is.5 N/m. Determine (a) the pressure gradient, (b) the average velocit of flow and (b) the maximum velocit of flow. (a) 6
7 The velocit distribution f stead, full developed, laminar flow in a circular pipe is given b R dp r R Shear stress at an point of the pipe flow is given b vr dp rz r z r z dp rz r The wall shear stress is given b dp w rz wall R Substituting the respective values, we obtain dp.5 0. dp 50 Pa/m (b) The velocit distribution f stead, full developed, laminar flow in a circular pipe can be expressed in terms of average velocit as r R The wall shear stress can also be expressed in terms of average velocit as vr r w rz wall z r R rr rr w R Substituting the respective values, we obtain 0.6v.5 z m/s (c) The maximum velocit of flow is found to be,max m/s Q7. Consider stead, incompressible full developed flow through a hizontal concentric pipes of radii R and R R respectivel. Find an expression f the velocit distribution. Also show that the velocit distribution approaches that of pipe flow as R 0. 7
8 A small element of thickness dr at a radius r from the centre is considered as shown in the figure below. r dr r z R R dr r p r dp p F stead, incompressible, full developed flow in the annular space between two concentric pipes, the governing differential equation becomes d d dp r rdr dr d d r dp, r dr dr Integrating with respect to r, we get d dp r r C dr where C is a constant of integration. d dp C Now, r dr r Integrating once me with respect to r, we have dp r Cln r C where C is another constant of integration. To evaluate the constants, we appl the boundar conditions. The boundar conditions are: at r R, 0 At r R, 0 Appling the boundar conditions, we get dp R R dp R R C and C ln RR lnr R lnr R Substituting the values of C and C in the expression of velocit, we obtain dp R R r R r ln lnr R R This is the required expression f the velocit distribution f stead, incompressible, full developed flow in the annular space between two concentric pipes. 8
9 As R 0, the above expression f the velocit becomes dp R r This implies that the velocit distribution approaches that of pipe flow. 9
2, where dp is the constant, R is the radius of
Dynamics of Viscous Flows (Lectures 8 to ) Q. Choose the correct answer (i) The average velocity of a one-dimensional incompressible fully developed viscous flow between two fixed parallel plates is m/s.
More informationIntroduction and Fundamental Concepts (Lectures 1-7)
Introduction and Fundamental Concepts (Lectures -7) Q. Choose the crect answer (i) A fluid is a substance that (a) has the same shear stress at a point regardless of its motion (b) is practicall incompressible
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 informationBasic Fluid Mechanics
Basic Fluid Mechanics Chapter 6A: Internal Incompressible Viscous Flow 4/16/2018 C6A: Internal Incompressible Viscous Flow 1 6.1 Introduction For the present chapter we will limit our study to incompressible
More informationPIPE FLOWS: LECTURE /04/2017. Yesterday, for the example problem Δp = f(v, ρ, μ, L, D) We came up with the non dimensional relation
/04/07 ECTURE 4 PIPE FOWS: Yesterday, for the example problem Δp = f(v, ρ, μ,, ) We came up with the non dimensional relation f (, ) 3 V or, p f(, ) You can plot π versus π with π 3 as a parameter. Or,
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 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 informationFluid Mechanics II Viscosity and shear stresses
Fluid Mechanics II Viscosity and shear stresses Shear stresses in a Newtonian fluid A fluid at rest can not resist shearing forces. Under the action of such forces it deforms continuously, however small
More informationUNIT II Real fluids. FMM / KRG / MECH / NPRCET Page 78. Laminar and turbulent flow
UNIT II Real fluids The flow of real fluids exhibits viscous effect that is they tend to "stick" to solid surfaces and have stresses within their body. You might remember from earlier in the course Newtons
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 informationModelling of dispersed, multicomponent, multiphase flows in resource industries. Section 3: Examples of analyses conducted for Newtonian fluids
Modelling of dispersed, multicomponent, multiphase flows in resource industries Section 3: Examples of analyses conducted for Newtonian fluids Globex Julmester 017 Lecture # 04 July 017 Agenda Lecture
More informationCONSERVATION LAWS AND CONSERVED QUANTITIES FOR LAMINAR RADIAL JETS WITH SWIRL
Mathematical and Computational Applications,Vol. 15, No. 4, pp. 742-761, 21. c Association for Scientific Research CONSERVATION LAWS AND CONSERVED QUANTITIES FOR LAMINAR RADIAL JETS WITH SWIRL R. Naz 1,
More informationFluid Mechanics II. Newton s second law applied to a control volume
Fluid Mechanics II Stead flow momentum equation Newton s second law applied to a control volume Fluids, either in a static or dnamic motion state, impose forces on immersed bodies and confining boundaries.
More information7. TURBULENCE SPRING 2019
7. TRBLENCE SPRING 2019 7.1 What is turbulence? 7.2 Momentum transfer in laminar and turbulent flow 7.3 Turbulence notation 7.4 Effect of turbulence on the mean flow 7.5 Turbulence generation and transport
More informationME 309 Fluid Mechanics Fall 2010 Exam 2 1A. 1B.
Fall 010 Exam 1A. 1B. Fall 010 Exam 1C. Water is flowing through a 180º bend. The inner and outer radii of the bend are 0.75 and 1.5 m, respectively. The velocity profile is approximated as C/r where C
More 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 non-uniform flow Laminar and Turbulent flow Compressible and incompressible flow Rotational and ir-rotational
More information1.1 The Equations of Motion
1.1 The Equations of Motion In Book I, balance of forces and moments acting on an component was enforced in order to ensure that the component was in equilibrium. Here, allowance is made for stresses which
More informationData Repository Hampel et al., page 1/5
GSA DATA REPOSITORY 2138 Data Repositor Hampel et al., page 1/5 SETUP OF THE FINITE-ELEMENT MODEL The finite-element models were created with the software ABAQUS and consist of a 1-km-thick lithosphere,
More informationDesign and Modeling of Fluid Power Systems ME 597/ABE Lecture 7
Systems ME 597/ABE 591 - Lecture 7 Dr. Monika Ivantysynova MAHA Professor Fluid Power Systems MAHA Fluid Power Research Center Purdue University Content of 6th lecture The lubricating gap as a basic design
More informationReynolds, an engineering professor in early 1880 demonstrated two different types of flow through an experiment:
7 STEADY FLOW IN PIPES 7.1 Reynolds Number Reynolds, an engineering professor in early 1880 demonstrated two different types of flow through an experiment: Laminar flow Turbulent flow Reynolds apparatus
More informationIntroduction to Heat and Mass Transfer. Week 14
Introduction to Heat and Mass Transfer Week 14 Next Topic Internal Flow» Velocity Boundary Layer Development» Thermal Boundary Layer Development» Energy Balance Velocity Boundary Layer Development Velocity
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 informationDEVELOPED LAMINAR FLOW IN PIPE USING COMPUTATIONAL FLUID DYNAMICS M.
DEVELOPED LAMINAR FLOW IN PIPE USING COMPUTATIONAL FLUID DYNAMICS M. Sahu 1, Kishanjit Kumar Khatua and Kanhu Charan Patra 3, T. Naik 4 1, &3 Department of Civil Engineering, National Institute of technology,
More informationMM303 FLUID MECHANICS I PROBLEM SET 1 (CHAPTER 2) FALL v=by 2 =-6 (1/2) 2 = -3/2 m/s
MM303 FLUID MECHANICS I PROBLEM SET 1 (CHAPTER ) FALL 018 1) For the velocity fields given below, determine: i) Whether the flow field is one-, two-, or three-dimensional, and why. ii) Whether the flow
More informationChapter 2 Basic Conservation Equations for Laminar Convection
Chapter Basic Conservation Equations for Laminar Convection Abstract In this chapter, the basic conservation equations related to laminar fluid flow conservation equations are introduced. On this basis,
More informationChapter 8: Flow in Pipes
Objectives 1. Have a deeper understanding of laminar and turbulent flow in pipes and the analysis of fully developed flow 2. Calculate the major and minor losses associated with pipe flow in piping networks
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 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 informationLecture 30 Review of Fluid Flow and Heat Transfer
Objectives In this lecture you will learn the following We shall summarise the principles used in fluid mechanics and heat transfer. It is assumed that the student has already been exposed to courses in
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 informationCHAPTER 3 Introduction to Fluids in Motion
CHAPTER 3 Introduction to Fluids in Motion FE-tpe Eam Review Problems: Problems 3- to 3-9 nˆ 0 ( n ˆi+ n ˆj) (3ˆi 4 ˆj) 0 or 3n 4n 0 3. (D) 3. (C) 3.3 (D) 3.4 (C) 3.5 (B) 3.6 (C) Also n n n + since ˆn
More informationA first contact with STAR-CCM+ Comparing analytical and finite volume solutions with STAR-CCM+ simulations
A first contact with STAR-CCM+ Comparing analtical and finite volume solutions with STAR-CCM+ simulations Michael Heer Analtical Finite volumes STAR-CCM+ What is ParisTech? ParisTech is a consortium of
More informationFLUID MECHANICS. Gaza. Chapter CHAPTER 44. Motion of Fluid Particles and Streams. Dr. Khalil Mahmoud ALASTAL
FLUID MECHANICS Gaza Chapter CHAPTER 44 Motion of Fluid Particles and Streams Dr. Khalil Mahmoud ALASTAL Objectives of this Chapter: Introduce concepts necessary to analyze fluids in motion. Identify differences
More informationAn-Najah National University Civil Engineering Department. Fluid Mechanics. Chapter 1. General Introduction
1 An-Najah National University Civil Engineering Department Fluid Mechanics Chapter 1 General Introduction 2 What is Fluid Mechanics? Mechanics deals with the behavior of both stationary and moving bodies
More informationUNIT 4 HEAT TRANSFER BY CONVECTION
UNIT 4 HEAT TRANSFER BY CONVECTION 4.1 Introduction to convection 4. Convection boundar laers 4..1 Hdrodnamic boundar laer over flat plate 4.. Thermal boundar laer 4..3 Concentration boundar laer 4.3 Dimensional
More information6.1 Steady, One-Dimensional Rectilinear Flows Steady, Spherically Symmetric Radial Flows 42
Contents 6 UNIDIRECTIONAL FLOWS 1 6.1 Steady, One-Dimensional Rectilinear Flows 6. Steady, Axisymmetric Rectilinear Flows 19 6.3 Steady, Axisymmetric Torsional Flows 8 6.4 Steady, Axisymmetric Radial Flows
More informationAvailable online at ScienceDirect. Procedia Engineering 90 (2014 )
Available online at.sciencedirect.com ScienceDirect Procedia Engineering 9 (14 383 388 1th International Conference on Mechanical Engineering, ICME 13 Effects of volumetric heat source and temperature
More informationChapter 3 Non-Newtonian fluid
Chapter 3 Non-Newtonian fluid 3-1. Introduction: The study of the deformation of flowing fluids is called rheology; the rheological behavior of various fluids is sketchen Figure 3-1. Newtonian fluids,
More information2.25 Advanced Fluid Mechanics
MIT Department of Mechanical Engineering.5 Advanced Fluid Mechanics Problem 6.0a This problem is from Advanced Fluid Mechanics Problems by A.H. Shapiro and A.A. Sonin Consider a steady, fully developed
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 informationPIPING SYSTEMS. Pipe and Tubing Standards Sizes for pipes and tubes are standardized. Pipes are specified by a nominal diameter and a schedule number.
PIPING SYSTEMS In this chapter we will review some of the basic concepts associated with piping systems. Topics that will be considered in this chapter are - Pipe and tubing standards - Effective and hydraulic
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 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 informationExternal Flows. Dye streak. turbulent. laminar transition
Eternal Flos An internal flo is surrounded by solid boundaries that can restrict the development of its boundary layer, for eample, a pipe flo. An eternal flo, on the other hand, are flos over bodies immersed
More information150A Review Session 2/13/2014 Fluid Statics. Pressure acts in all directions, normal to the surrounding surfaces
Fluid Statics Pressure acts in all directions, normal to the surrounding surfaces or Whenever a pressure difference is the driving force, use gauge pressure o Bernoulli equation o Momentum balance with
More informationPIPE FLOW. General Characteristic of Pipe Flow. Some of the basic components of a typical pipe system are shown in Figure 1.
PIPE FLOW General Characteristic of Pipe Flow Figure 1 Some of the basic components of a typical pipe system are shown in Figure 1. They include the pipes, the various fitting used to connect the individual
More informationτ du In his lecture we shall look at how the forces due to momentum changes on the fluid and viscous forces compare and what changes take place.
4. Real fluids The flow of real fluids exhibits viscous effect, that is they tend to stick to solid surfaces and have stresses within their body. You might remember from earlier in the course Newtons law
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 informationViscous Flow in Ducts
Dr. M. Siavashi Iran University of Science and Technology Spring 2014 Objectives 1. Have a deeper understanding of laminar and turbulent flow in pipes and the analysis of fully developed flow 2. Calculate
More informationShell Balances in Fluid Mechanics
Shell Balances in Fluid Mechanics R. Shankar Subramanian Department of Chemical and Biomolecular Engineering Clarkson University When fluid flow occurs in a single direction everywhere in a system, shell
More informationComputational Fluid Dynamics (CFD, CHD)*
1 / 1 Computational Fluid Dnamics (CFD, CHD)* PDE (Shocks 1st); Part I: Basics, Part II: Vorticit Fields Rubin H Landau Sall Haerer, Producer-Director Based on A Surve of Computational Phsics b Landau,
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 informationChapter 6. Losses due to Fluid Friction
Chapter 6 Losses due to Fluid Friction 1 Objectives To measure the pressure drop in the straight section of smooth, rough, and packed pipes as a function of flow rate. To correlate this in terms of the
More informationChapter 10 Flow in Conduits
Chapter 10 Flow in Conduits 10.1 Classifying Flow Laminar Flow and Turbulent Flow Laminar flow Unpredictable Turbulent flow Near entrance: undeveloped developing flow In developing flow, the wall shear
More informationMicrofluidic Devices. Microfluidic Device Market. Microfluidic Principles Part 1. Introduction to BioMEMS & Medical Microdevices.
Introduction to BioMEMS & Medical Microdevices Microfluidic Principles Part 1 Companion lecture to the textbook: Fundamentals of BioMEMS and Medical Microdevices, by Prof., http://saliterman.umn.edu/,
More informationBACHELOR OF TECHNOLOGY IN MECHANICAL ENGINEERING (COMPUTER INTEGRATED MANUFACTURING)
No. of Printed Pages : 6 BME-028 BACHELOR OF TECHNOLOGY IN MECHANICAL ENGINEERING (COMPUTER INTEGRATED MANUFACTURING) Term-End Examination December, 2011 00792 BME-028 : FLUID MECHANICS Time : 3 hours
More informationModelling of dispersed, multicomponent, multiphase flows in resource industries Section 4: Non-Newtonian fluids and rheometry (PART 1)
Modelling of dispersed, multicomponent, multiphase flows in resource industries Section 4: Non-Newtonian fluids and rheometry (PART 1) Globex Julmester 2017 Lecture #3 05 July 2017 Agenda Lecture #3 Section
More informationINTRODUCTION TO FLUID MECHANICS June 27, 2013
INTRODUCTION TO FLUID MECHANICS June 27, 2013 PROBLEM 3 (1 hour) A perfect liquid of constant density ρ and constant viscosity µ fills the space between two infinite parallel walls separated by a distance
More informationANALYSIS OF FLOW IN A CONCENTRIC ANNULUS USING FINITE ELEMENT METHOD
Nigerian Journal of Technology (NIJOTECH) Vol 35, No 2, April 2016, pp 344 348 Copyright Faculty of Engineering, University of Nigeria, Nsukka, Print ISSN: 0331-8443, Electronic ISSN: 2467-8821 wwwnijotechcom
More informationVISCO-ELASTIC FLUID FLOW WITH HEAT AND MASS TRASNFER IN A VERTICAL CHANNEL THROUGH A POROUS MEDIUM
Volume 2, No. 1, Januar 214 Journal of Global Research in Mathematical Archives RESEARCH PAPER Available online at http://www.jgrma.info VISCO-ELASTIC FLUID FLOW WITH HEAT AND MASS TRASNFER IN A VERTICAL
More informationModule 1 : The equation of continuity. Lecture 4: Fourier s Law of Heat Conduction
1 Module 1 : The equation of continuit Lecture 4: Fourier s Law of Heat Conduction NPTEL, IIT Kharagpur, Prof. Saikat Chakrabort, Department of Chemical Engineering Fourier s Law of Heat Conduction According
More informationInternal Forced Convection. Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Internal Forced Convection Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Introduction Pipe circular cross section. Duct noncircular cross section. Tubes small-diameter
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 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 informationLaminar Flow. Chapter ZERO PRESSURE GRADIENT
Chapter 2 Laminar Flow 2.1 ZERO PRESSRE GRADIENT Problem 2.1.1 Consider a uniform flow of velocity over a flat plate of length L of a fluid of kinematic viscosity ν. Assume that the fluid is incompressible
More informationFluid Mechanics Answer Key of Objective & Conventional Questions
019 MPROVEMENT Mechanical Engineering Fluid Mechanics Answer Key of Objective & Conventional Questions 1 Fluid Properties 1. (c). (b) 3. (c) 4. (576) 5. (3.61)(3.50 to 3.75) 6. (0.058)(0.05 to 0.06) 7.
More informationPiping Systems and Flow Analysis (Chapter 3)
Piping Systems and Flow Analysis (Chapter 3) 2 Learning Outcomes (Chapter 3) Losses in Piping Systems Major losses Minor losses Pipe Networks Pipes in series Pipes in parallel Manifolds and Distribution
More informationNumerical Analysis of Heat Transfer in the Unsteady Flow of a non- Newtonian Fluid over a Rotating cylinder
Bulletin of Environment, Pharmacolog and Life Sciences Bull. Env.Pharmacol. Life Sci., Vol 4 [Spl issue 1] 215: 318-323 214 Academ for Environment and Life Sciences, India Online ISSN 2277-188 Journal
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 informationME 431A/538A/538B Homework 22 October 2018 Advanced Fluid Mechanics
ME 431A/538A/538B Homework 22 October 2018 Advanced Fluid Mechanics For Friday, October 26 th Start reading the handout entitled Notes on finite-volume methods. Review Chapter 7 on Dimensional Analysis
More informationMathematical Modeling of Peristaltic Flow of Chyme in Small Intestine
Available at http://pvamu.edu/aam Appl. Appl. Math. ISSN: 1932-9466 Vol. 6, Issue 2 (December 2011), pp. 428 444 Applications and Applied Mathematics: An International Journal (AAM) Mathematical Modeling
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 informationMagnetohydrodynamic Fluid Flow Between Two Parallel Infinite Plates Subjected To An Inclined Magnetic Field Under Pressure Gradient
Journal of Multidisciplinar Engineering Science and Technolog (JMEST) Magnetohdrodnamic Fluid Flow Between Two Parallel Infinite Plates Subjected To An Inclined Magnetic Field Under Pressure Gradient Agnes
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 informationch-01.qxd 8/4/04 2:33 PM Page 1 Part 1 Basic Principles of Open Channel Flows
ch-01.qxd 8/4/04 2:33 PM Page 1 Part 1 Basic Principles of Open Channel Flows ch-01.qxd 8/4/04 2:33 PM Page 3 Introduction 1 Summary The introduction chapter reviews briefly the basic fluid properties
More informationHydraulics. B.E. (Civil), Year/Part: II/II. Tutorial solutions: Pipe flow. Tutorial 1
Hydraulics B.E. (Civil), Year/Part: II/II Tutorial solutions: Pipe flow Tutorial 1 -by Dr. K.N. Dulal Laminar flow 1. A pipe 200mm in diameter and 20km long conveys oil of density 900 kg/m 3 and viscosity
More informationPan Pearl River Delta Physics Olympiad 2005
1 Jan. 29, 25 Morning Session (9 am 12 pm) Q1 (5 Two identical worms of length L are ling on a smooth and horizontal surface. The mass of the worms is evenl distributed along their bod length. The starting
More informationMEASUREMENT OF VISCOSITY OF LIQUID
MEASUREMENT OF VISCOSITY OF LIQUID Objectives: To measure the viscosity of sample liquids. Apparatus: (i) Glass tube (ii)steel balls, (iii) Retort stand and clamps, (iv) Weighing balance, (v) Screw gauge,
More informationFLUID MECHANICS. 1. Division of Fluid Mechanics. Hydrostatics Aerostatics Hydrodynamics Gasdynamics. v velocity p pressure ρ density
FLUID MECHANICS. Diision of Fluid Mechanics elocit p pressure densit Hdrostatics Aerostatics Hdrodnamics asdnamics. Properties of fluids Comparison of solid substances and fluids solid fluid τ F A [Pa]
More informationOE4625 Dredge Pumps and Slurry Transport. Vaclav Matousek October 13, 2004
OE465 Vaclav Matousek October 13, 004 1 Dredge Vermelding Pumps onderdeel and Slurry organisatie Transport OE465 Vaclav Matousek October 13, 004 Dredge Vermelding Pumps onderdeel and Slurry organisatie
More informationOnly if handing in. Name: Student No.: Page 2 of 7
UNIVERSITY OF TORONTO FACULTY OF APPLIED SCIENCE AND ENGINEERING FINAL EXAMINATION, DECEMBER 10, 2014 2:00 PM 2.5 HOURS CHE 211F FLUID MECHANICS EXAMINER: PROFESSOR D.G. ALLEN ANSWER ALL SEVEN (7) QUESTIONS
More informationChapter 6. Losses due to Fluid Friction
Chapter 6 Losses due to Fluid Friction 1 Objectives ä To measure the pressure drop in the straight section of smooth, rough, and packed pipes as a function of flow rate. ä To correlate this in terms of
More informationFluid Mechanics Prof. T.I. Eldho Department of Civil Engineering Indian Institute of Technology, Bombay. Lecture - 17 Laminar and Turbulent flows
Fluid Mechanics Prof. T.I. Eldho Department of Civil Engineering Indian Institute of Technology, Bombay Lecture - 17 Laminar and Turbulent flows Welcome back to the video course on fluid mechanics. In
More informationLiquid or gas flow through pipes or ducts is commonly used in heating and
cen58933_ch08.qxd 9/4/2002 11:29 AM Page 419 INTERNAL FORCED CONVECTION CHAPTER 8 Liquid or gas flow through pipes or ducts is commonly used in heating and cooling applications. The fluid in such applications
More informationHurricane Modeling E XPANDING C ALCULUS H ORIZON
Februar 5, 2009 :4 Hurricane Modeling E XPANDING THE Sheet number Page number can magenta ellow black C ALCULUS H ORIZON Hurricane Modeling... Each ear population centers throughout the world are ravaged
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 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 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 informationEstimating h Boundary Layer Equations
Estimating h Boundar Laer Equations ChE 0B Before, we just assumed a heat transfer coefficient, but can we estimate them from first rinciles? Look at stead laminar flow ast a flat late, again: Clearl,
More informationME3560 Tentative Schedule Spring 2019
ME3560 Tentative Schedule Spring 2019 Week Number Date Lecture Topics Covered Prior to Lecture Read Section Assignment Prep Problems for Prep Probs. Must be Solved by 1 Monday 1/7/2019 1 Introduction to
More informationFLUID MECHANICS. Chapter 9 Flow over Immersed Bodies
FLUID MECHANICS Chapter 9 Flow over Immersed Bodies CHAP 9. FLOW OVER IMMERSED BODIES CONTENTS 9.1 General External Flow Characteristics 9.3 Drag 9.4 Lift 9.1 General External Flow Characteristics 9.1.1
More information6. Basic basic equations I ( )
6. Basic basic equations I (4.2-4.4) Steady and uniform flows, streamline, streamtube One-, two-, and three-dimensional flow Laminar and turbulent flow Reynolds number System and control volume Continuity
More informationUnsteady Flow of a Newtonian Fluid in a Contracting and Expanding Pipe
Unsteady Flow of a Newtonian Fluid in a Contracting and Expanding Pipe T S L Radhika**, M B Srinivas, T Raja Rani*, A. Karthik BITS Pilani- Hyderabad campus, Hyderabad, Telangana, India. *MTC, Muscat,
More informationJoule Heating Effects on MHD Natural Convection Flows in Presence of Pressure Stress Work and Viscous Dissipation from a Horizontal Circular Cylinder
Journal of Applied Fluid Mechanics, Vol. 7, No., pp. 7-3, 04. Available online at www.jafmonline.net, ISSN 735-357, EISSN 735-3645. Joule Heating Effects on MHD Natural Convection Flows in Presence of
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 informationFLOW IN CONDUITS. Shear stress distribution across a pipe section. Chapter 10
Chapter 10 Shear stress distribution across a pipe section FLOW IN CONDUITS For steady, uniform flow, the momentum balance in s for the fluid cylinder yields Fluid Mechanics, Spring Term 2010 Velocity
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 information1 Conduction Heat Transfer
Eng6901 - Formula Sheet 3 (December 1, 2015) 1 1 Conduction Heat Transfer 1.1 Cartesian Co-ordinates q x = q xa x = ka x dt dx R th = L ka 2 T x 2 + 2 T y 2 + 2 T z 2 + q k = 1 T α t T (x) plane wall of
More informationME3560 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 informationUnsteady Flow of a Viscoelastic Fluid through a Porous Media between Two Impermeable Parallel Plates
Journal of Emerging Trends in Engineering and Applied Sciences (JETEAS) (): 5-9 Journal of Emerging Trends in Engineering and Applied Sciences (JETEAS) (): 5-9 (ISSN: 4-706) Scholarlink Research Institute
More information