Introduction to Fluid Mechanics. Chapter 9 External Incompressible Viscous Flow. Pritchard


 Aldous Eaton
 1 years ago
 Views:
Transcription
1 Introduction to Fluid Mechanics Chapter 9 External Incompressible Viscous Flow
2 Main Topics The BoundaryLayer Concept BoundaryLayer Thicknesses Laminar FlatPlate Boundary Layer: Exact Solution Momentum Integral Equation Use of the Momentum Equation for Flow with Zero Pressure Gradient Pressure Gradients in BoundaryLayer Flow Drag Lift
3 The BoundaryLayer Concept
4 The BoundaryLayer Concept
5 Boundary Layer Thicknesses
6 Boundary Layer Thicknesses Disturbance Thickness, d Displacement Thickness, d* Momentum Thickness, q
7
8
9
10
11 Laminar FlatPlate Boundary Layer: Exact Solution Governing Equations
12 Laminar FlatPlate Boundary Layer: Exact Solution Boundary Conditions
13 Laminar FlatPlate Boundary Layer: Exact Solution Equations are Coupled, Nonlinear, Partial Differential Equations Blasius Solution: Transform to single, higherorder, nonlinear, ordinary differential equation
14 Laminar FlatPlate Boundary Layer: Exact Solution Results of Numerical Analysis
15 Momentum Integral Equation Provides Approximate Alternative to Exact (Blasius) Solution
16 Momentum Integral Equation Equation is used to estimate the boundarylayer thickness as a function of x: 1. Obtain a first approximation to the freestream velocity distribution, U(x). The pressure in the boundary layer is related to the freestream velocity, U(x), using the Bernoulli equation 2. Assume a reasonable velocityprofile shape inside the boundary layer 3. Derive an expression for t w using the results obtained from item 2
17 Use of the Momentum Equation for Flow with Zero Pressure Gradient Simplify Momentum Integral Equation (Item 1) The Momentum Integral Equation becomes
18 Use of the Momentum Equation for Flow with Zero Pressure Gradient Laminar Flow Example: Assume a Polynomial Velocity Profile (Item 2) The wall shear stress t w is then (Item 3)
19 Use of the Momentum Equation for Flow with Zero Pressure Gradient Laminar Flow Results (Polynomial Velocity Profile) Compare to Exact (Blasius) results!
20 Use of the Momentum Equation for Flow with Zero Pressure Gradient Turbulent Flow Example: 1/7Power Law Profile (Item 2)
21 Use of the Momentum Equation for Flow with Zero Pressure Gradient Turbulent Flow Results (1/7Power Law Profile)
22
23
24 Pressure Gradients in BoundaryLayer Flow
25
26
27 Drag Drag Coefficient with or
28 Drag Pure Friction Drag: Flat Plate Parallel to the Flow Pure Pressure Drag: Flat Plate Perpendicular to the Flow Friction and Pressure Drag: Flow over a Sphere and Cylinder Streamlining
29 Drag Flow over a Flat Plate Parallel to the Flow: Friction Drag Boundary Layer can be 100% laminar, partly laminar and partly turbulent, or essentially 100% turbulent; hence several different drag coefficients are available
30 Drag Flow over a Flat Plate Parallel to the Flow: Friction Drag (Continued) Laminar BL: Turbulent BL: plus others for transitional flow
31 Drag Flow over a Flat Plate Perpendicular to the Flow: Pressure Drag Drag coefficients are usually obtained empirically
32 Drag Flow over a Flat Plate Perpendicular to the Flow: Pressure Drag (Continued)
33 Drag Flow over a Sphere and Cylinder: Friction and Pressure Drag
34 Drag Flow over a Sphere and Cylinder: Friction and Pressure Drag (Continued)
35 Streamlining Used to Reduce Wake and hence Pressure Drag
36
37
38
39 Lift Mostly applies to Airfoils Note: Based on planform area A p
40 Lift Examples: NACA 23015; NACA
41
42 Lift Magnus Effect
43
Distinguished Professor George Washington University. Graw Hill
Mechanics of Fluids Fourth Edition Irving H. Shames Distinguished Professor George Washington University Graw Hill Boston Burr Ridge, IL Dubuque, IA Madison, Wl New York San Francisco St. Louis Bangkok
More informationTextbook: Introduction to Fluid Mechanics by Philip J. Pritchard. John Wiley & Sons, 8th Edition, ISBN13 9780470547557, 10 0470547553
Semester: Spring 2016 Course: MEC 393, Advanced Fluid Mechanics Instructor: Professor Juldeh Sesay, 226 Heavy Engineering Bldg., (631)6328493 Email: Juldeh.sessay@stonybrook.edu Office hours: Mondays
More informationINTRODUCTION TO FLUID MECHANICS
INTRODUCTION TO FLUID MECHANICS SIXTH EDITION ROBERT W. FOX Purdue University ALAN T. MCDONALD Purdue University PHILIP J. PRITCHARD Manhattan College JOHN WILEY & SONS, INC. CONTENTS CHAPTER 1 INTRODUCTION
More informationPractice Problems on Boundary Layers. Answer(s): D = 107 N D = 152 N. C. Wassgren, Purdue University Page 1 of 17 Last Updated: 2010 Nov 22
BL_01 A thin flat plate 55 by 110 cm is immersed in a 6 m/s stream of SAE 10 oil at 20 C. Compute the total skin friction drag if the stream is parallel to (a) the long side and (b) the short side. D =
More informationLecture 11 Boundary Layers and Separation. Applied Computational Fluid Dynamics
Lecture 11 Boundary Layers and Separation Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (20022006) Fluent Inc. (2002) 1 Overview Drag. The boundarylayer
More informationME19b. SOLUTIONS. Feb. 11, 2010. Due Feb. 18
ME19b. SOLTIONS. Feb. 11, 21. Due Feb. 18 PROBLEM B14 Consider the long thin racing boats used in competitive rowing events. Assume that the major component of resistance to motion is the skin friction
More informationDifferential Relations for Fluid Flow. Acceleration field of a fluid. The differential equation of mass conservation
Differential Relations for Fluid Flow In this approach, we apply our four basic conservation laws to an infinitesimally small control volume. The differential approach provides point by point details of
More informationCommercial CFD Software Modelling
Commercial CFD Software Modelling Dr. Nor Azwadi bin Che Sidik Faculty of Mechanical Engineering Universiti Teknologi Malaysia INSPIRING CREATIVE AND INNOVATIVE MINDS 1 CFD Modeling CFD modeling can be
More informationNACA Nomenclature NACA 2421. NACA Airfoils. Definitions: Airfoil Geometry
0.40 m 0.21 m 0.02 m NACA Airfoils 6Feb08 AE 315 Lesson 10: Airfoil nomenclature and properties 1 Definitions: Airfoil Geometry z Mean camber line Chord line x Chord x=0 x=c Leading edge Trailing edge
More informationIcampus project Schoolwide Program on Fluid Mechanics Modules on High Reynolds Number Flows K. P. Burr, T. R. Akylas & C. C. Mei
1 Icampus project Schoolwide Program on Fluid Mechanics Modules on High Reynolds Number Flows K. P. Burr, T. R. Akylas & C. C. Mei CHAPTER TWO TWODIMENSIONAL LAMINAR BOUNDARY LAYERS 1 Introduction.
More informationFluid Mechanics Prof. T. I. Eldho Department of Civil Engineering Indian Institute of Technology, Bombay. Lecture No. # 36 Pipe Flow Systems
Fluid Mechanics Prof. T. I. Eldho Department of Civil Engineering Indian Institute of Technology, Bombay Lecture No. # 36 Pipe Flow Systems Welcome back to the video course on Fluid Mechanics. In today
More informationFluids and Solids: Fundamentals
Fluids and Solids: Fundamentals We normally recognize three states of matter: solid; liquid and gas. However, liquid and gas are both fluids: in contrast to solids they lack the ability to resist deformation.
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 informationFundamentals of Aerodynamics
Fundamentals of Aerodynamics Fourth Edition John D. Anderson, Jr.; Curator of Aerodynamics National Air arid Space Museum Smithsonian Institution * and Professor Emeritus University of Maryland Mc Graw
More informationNUMERICAL ANALYSIS OF THE EFFECTS OF WIND ON BUILDING STRUCTURES
Vol. XX 2012 No. 4 28 34 J. ŠIMIČEK O. HUBOVÁ NUMERICAL ANALYSIS OF THE EFFECTS OF WIND ON BUILDING STRUCTURES Jozef ŠIMIČEK email: jozef.simicek@stuba.sk Research field: Statics and Dynamics Fluids mechanics
More informationBasic Equations, Boundary Conditions and Dimensionless Parameters
Chapter 2 Basic Equations, Boundary Conditions and Dimensionless Parameters In the foregoing chapter, many basic concepts related to the present investigation and the associated literature survey were
More informationDimensional Analysis
Dimensional Analysis An Important Example from Fluid Mechanics: Viscous Shear Forces V d t / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / / Ƭ = F/A = μ V/d More generally, the viscous
More informationCFD Analysis on Airfoil at High Angles of Attack
CFD Analysis on Airfoil at High Angles of Attack Dr.P.PrabhakaraRao¹ & Sri Sampath.V² Department of Mechanical Engineering,Kakatiya Institute of Technology& Science Warangal506015 1 chantifft@rediffmail.com,
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 information4.What is the appropriate dimensionless parameter to use in comparing flow types? YOUR ANSWER: The Reynolds Number, Re.
CHAPTER 08 1. What is most likely to be the main driving force in pipe flow? A. Gravity B. A pressure gradient C. Vacuum 2.What is a general description of the flow rate in laminar flow? A. Small B. Large
More information1.Name the four types of motion that a fluid element can experience. YOUR ANSWER: Translation, linear deformation, rotation, angular deformation.
CHAPTER 06 1.Name the four types of motion that a fluid element can experience. YOUR ANSWER: Translation, linear deformation, rotation, angular deformation. 2.How is the acceleration of a particle described?
More informationBasics of vehicle aerodynamics
Basics of vehicle aerodynamics Prof. Tamás Lajos Budapest University of Technology and Economics Department of Fluid Mechanics University of Rome La Sapienza 2002 Influence of flow characteristics on the
More informationThe Viscosity of Fluids
Experiment #11 The Viscosity of Fluids References: 1. Your first year physics textbook. 2. D. Tabor, Gases, Liquids and Solids: and Other States of Matter (Cambridge Press, 1991). 3. J.R. Van Wazer et
More informationThe Viscosity of Fluids
Experiment #11 The Viscosity of Fluids References: 1. Your first year physics textbook. 2. D. Tabor, Gases, Liquids and Solids: and Other States of Matter (Cambridge Press, 1991). 3. J.R. Van Wazer et
More informationXI / PHYSICS FLUIDS IN MOTION 11/PA
Viscosity It is the property of a liquid due to which it flows in the form of layers and each layer opposes the motion of its adjacent layer. Cause of viscosity Consider two neighboring liquid layers A
More informationBlasius solution. Chapter 19. 19.1 Boundary layer over a semiinfinite flat plate
Chapter 19 Blasius solution 191 Boundary layer over a semiinfinite flat plate Let us consider a uniform and stationary flow impinging tangentially upon a vertical flat plate of semiinfinite length Fig
More informationLecture 6  Boundary Conditions. Applied Computational Fluid Dynamics
Lecture 6  Boundary Conditions Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (20022006) Fluent Inc. (2002) 1 Outline Overview. Inlet and outlet boundaries.
More informationDynamic Process Modeling. Process Dynamics and Control
Dynamic Process Modeling Process Dynamics and Control 1 Description of process dynamics Classes of models What do we need for control? Modeling for control Mechanical Systems Modeling Electrical circuits
More informationLecturer, Department of Engineering, ar45@le.ac.uk, Lecturer, Department of Mathematics, sjg50@le.ac.uk
39 th AIAA Fluid Dynamics Conference, San Antonio, Texas. A selective review of CFD transition models D. Di Pasquale, A. Rona *, S. J. Garrett Marie Curie EST Fellow, Engineering, ddp2@le.ac.uk * Lecturer,
More informationFree Convection Film Flows and Heat Transfer
Deyi Shang Free Convection Film Flows and Heat Transfer With 109 Figures and 69 Tables < J Springer Contents 1 Introduction 1 1.1 Scope 1 1.2 Application Backgrounds 1 1.3 Previous Developments 2 1.3.1
More informationOpen channel flow Basic principle
Open channel flow Basic principle INTRODUCTION Flow in rivers, irrigation canals, drainage ditches and aqueducts are some examples for open channel flow. These flows occur with a free surface and the pressure
More informationExamples of Laminar Flows. Internal Flows
CBE 6333, R. Leicky Examples of Laminar Flows In laminar flows the fluid moes in "layers" or laminae, in contrast to the apparently chaotic motion of turbulent flow. Laminar flows in many different geometries
More informationPrediction of airfoil performance at high Reynolds numbers
Downloaded from orbit.dtu.dk on: Jul 01, 2016 Prediction of airfoil performance at high Reynolds numbers. Sørensen, Niels N.; Zahle, Frederik; Michelsen, Jess Publication date: 2014 Document Version Publisher's
More informationA fundamental study of the flow past a circular cylinder using Abaqus/CFD
A fundamental study of the flow past a circular cylinder using Abaqus/CFD Masami Sato, and Takaya Kobayashi Mechanical Design & Analysis Corporation Abstract: The latest release of Abaqus version 6.10
More informationViscous flow in pipe
Viscous flow in pipe Henryk Kudela Contents 1 Laminar or turbulent flow 1 2 Balance of Momentum  NavierStokes Equation 2 3 Laminar flow in pipe 2 3.1 Friction factor for laminar flow...........................
More informationEXAMPLE: Water Flow in a Pipe
EXAMPLE: Water Flow in a Pipe P 1 > P 2 Velocity profile is parabolic (we will learn why it is parabolic later, but since friction comes from walls the shape is intuitive) The pressure drops linearly along
More informationLift and Drag on an Airfoil ME 123: Mechanical Engineering Laboratory II: Fluids
Lift and Drag on an Airfoil ME 123: Mechanical Engineering Laboratory II: Fluids Dr. J. M. Meyers Dr. D. G. Fletcher Dr. Y. Dubief 1. Introduction In this lab the characteristics of airfoil lift, drag,
More informationHOW BOARDS AND RUDDERS WORK
HOW BOARDS AND RUDDERS WORK Lift theory By B. Kohler Copyright 2006 by B. Kohler Kdesigns HOW BOARDS & RUDDERS WORK Our boats become faster and faster and a better understanding of how a sail, rudder,
More informationChapter 1. Governing Equations of Fluid Flow and Heat Transfer
Chapter 1 Governing Equations of Fluid Flow and Heat Transfer Following fundamental laws can be used to derive governing differential equations that are solved in a Computational Fluid Dynamics (CFD) study
More informationFluent Software Training TRN Boundary Conditions. Fluent Inc. 2/20/01
Boundary Conditions C1 Overview Inlet and Outlet Boundaries Velocity Outline Profiles Turbulence Parameters Pressure Boundaries and others... Wall, Symmetry, Periodic and Axis Boundaries Internal Cell
More informationCE 6303 MECHANICS OF FLUIDS L T P C QUESTION BANK PART  A
CE 6303 MECHANICS OF FLUIDS L T P C QUESTION BANK 3 0 0 3 UNIT I FLUID PROPERTIES AND FLUID STATICS PART  A 1. Define fluid and fluid mechanics. 2. Define real and ideal fluids. 3. Define mass density
More informationLecture 4 Classification of Flows. Applied Computational Fluid Dynamics
Lecture 4 Classification of Flows Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (00006) Fluent Inc. (00) 1 Classification: fluid flow vs. granular flow
More informationPrinciples of glider flight
Principles of glider flight [ Lift, drag & glide performance ] Richard Lancaster R.Lancaster@carrotworks.com ASK21 illustrations Copyright 1983 Alexander Schleicher GmbH & Co. All other content Copyright
More informationDESIGN OF AIRFOILS FOR WIND TURBINE BLADES ABSTRACT
DESIGN OF AIRFOILS FOR WIND TURBINE BLADES V. PAREZANOVIC, B. RASUO*, M. ADZIC** University of Belgrade, Belgrade, Serbia, vparez@yahoo.com *University of Belgrade, Belgrade, Serbia, brasuo@mas.bg.ac.yu
More informationHeat/Mass Transfer Analogy  Laminar Boundary Layer
Chapter 3. Heat/Mass Transfer Analogy  Laminar Boundary Layer As noted in the previous chapter, the analogous behaviors of heat and mass transfer have been long recognized. In the field of gas turbine
More informationCBE 6333, R. Levicky 1 Review of Fluid Mechanics Terminology
CBE 6333, R. Levicky 1 Review of Fluid Mechanics Terminology The Continuum Hypothesis: We will regard macroscopic behavior of fluids as if the fluids are perfectly continuous in structure. In reality,
More informationExperiment # 3: Pipe Flow
ME 05 Mechanical Engineering Lab Page ME 05 Mechanical Engineering Laboratory Spring Quarter 00 Experiment # 3: Pipe Flow Objectives: a) Calibrate a pressure transducer and two different flowmeters (paddlewheel
More information3 The boundary layer equations
3 The boundar laer equations Having introduced the concept of the boundar laer (BL), we now turn to the task of deriving the equations that govern the flow inside it. We focus throughout on the case of
More informationFLUID FLOW Introduction General Description
FLUID FLOW Introduction Fluid flow is an important part of many processes, including transporting materials from one point to another, mixing of materials, and chemical reactions. In this experiment, you
More information1. Heat and Mass Transfer, Fundamentals & Applications, Fourth Edition, Cengel, Y., Ghajar, A. McGrawHill, 2011, ISBN
University of Bridgeport Course Syllabus MEEG 463 Advanced Heat Transfer Tuesday: 68:30PM, Mandeville 221 Jani Macari Pallis, Ph.D. jpallis@bridgeport.edu (203) 5764579 Office Hours: Monday 911AM, Thursday
More information1. Fluids Mechanics and Fluid Properties. 1.1 Objectives of this section. 1.2 Fluids
1. Fluids Mechanics and Fluid Properties What is fluid mechanics? As its name suggests it is the branch of applied mechanics concerned with the statics and dynamics of fluids  both liquids and gases.
More informationProblem 1. 12ft. Find: Velocity of truck for both drag situations. Equations: Drag F Weight. For force balance analysis: Lift and Drag: Solution:
Problem 1 Given: Truck traveling down 7% grade Width 10ft m 5 tons 50,000 lb Rolling resistance on concrete 1.% weight C 0.96 without air deflector C 0.70 with air deflector V 100 7 1ft Find: Velocity
More informationTHE CFD SIMULATION OF THE FLOW AROUND THE AIRCRAFT USING OPENFOAM AND ANSA
THE CFD SIMULATION OF THE FLOW AROUND THE AIRCRAFT USING OPENFOAM AND ANSA Adam Kosík Evektor s.r.o., Czech Republic KEYWORDS CFD simulation, mesh generation, OpenFOAM, ANSA ABSTRACT In this paper we describe
More informationSwissmetro travels at high speeds through a tunnel at low pressure. It will therefore undergo friction that can be due to:
I. OBJECTIVE OF THE EXPERIMENT. Swissmetro travels at high speeds through a tunnel at low pressure. It will therefore undergo friction that can be due to: 1) Viscosity of gas (cf. "Viscosity of gas" experiment)
More informationFLUID MECHANICS IM0235 DIFFERENTIAL EQUATIONS  CB0235 2014_1
COURSE CODE INTENSITY PREREQUISITE COREQUISITE CREDITS ACTUALIZATION DATE FLUID MECHANICS IM0235 3 LECTURE HOURS PER WEEK 48 HOURS CLASSROOM ON 16 WEEKS, 32 HOURS LABORATORY, 112 HOURS OF INDEPENDENT
More informationHEAVY OIL FLOW MEASUREMENT CHALLENGES
HEAVY OIL FLOW MEASUREMENT CHALLENGES 1 INTRODUCTION The vast majority of the world s remaining oil reserves are categorised as heavy / unconventional oils (high viscosity). Due to diminishing conventional
More informationHEAT TRANSFER IM0245 3 LECTURE HOURS PER WEEK THERMODYNAMICS  IM0237 2014_1
COURSE CODE INTENSITY PREREQUISITE COREQUISITE CREDITS ACTUALIZATION DATE HEAT TRANSFER IM05 LECTURE HOURS PER WEEK 8 HOURS CLASSROOM ON 6 WEEKS, HOURS LABORATORY, HOURS OF INDEPENDENT WORK THERMODYNAMICS
More informationSimulation at Aeronautics Test Facilities A University Perspective Helen L. Reed, Ph.D., P.E. ASEB meeting, Irvine CA 15 October 2014 15001640
Simulation at Aeronautics Test A University Perspective Helen L. Reed, Ph.D., P.E. ASEB meeting, Irvine CA 15 October 2014 15001640 Questions How has the ability to do increasingly accurate modeling and
More informationIntroduction to COMSOL. The NavierStokes Equations
Flow Between Parallel Plates Modified from the COMSOL ChE Library module rev 10/13/08 Modified by Robert P. Hesketh, Chemical Engineering, Rowan University Fall 2008 Introduction to COMSOL The following
More informationSimulation of FluidStructure Interactions in Aeronautical Applications
Simulation of FluidStructure Interactions in Aeronautical Applications Martin Kuntz Jorge Carregal Ferreira ANSYS Germany D83624 Otterfing Martin.Kuntz@ansys.com December 2003 3 rd FENET Annual Industry
More informationApplied Fluid Mechanics
Applied Fluid Mechanics Sixth Edition Robert L. Mott University of Dayton PEARSON Prentkv Pearson Education International CHAPTER 1 THE NATURE OF FLUIDS AND THE STUDY OF FLUID MECHANICS 1.1 The Big Picture
More informationFundamentals of THERMALFLUID SCIENCES
Fundamentals of THERMALFLUID SCIENCES THIRD EDITION YUNUS A. CENGEL ROBERT H. TURNER Department of Mechanical JOHN M. CIMBALA Me Graw Hill Higher Education Boston Burr Ridge, IL Dubuque, IA Madison, Wl
More informationThe Influence of Aerodynamics on the Design of HighPerformance Road Vehicles
The Influence of Aerodynamics on the Design of HighPerformance Road Vehicles Guido Buresti Department of Aerospace Engineering University of Pisa (Italy) 1 CONTENTS ELEMENTS OF AERODYNAMICS AERODYNAMICS
More informationLecture 8  Turbulence. Applied Computational Fluid Dynamics
Lecture 8  Turbulence Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (20022006) Fluent Inc. (2002) 1 Turbulence What is turbulence? Effect of turbulence
More informationLecture 5 Hemodynamics. Description of fluid flow. The equation of continuity
1 Lecture 5 Hemodynamics Description of fluid flow Hydrodynamics is the part of physics, which studies the motion of fluids. It is based on the laws of mechanics. Hemodynamics studies the motion of blood
More informationHEAT TRANSFER CODES FOR STUDENTS IN JAVA
Proceedings of the 5th ASME/JSME Thermal Engineering Joint Conference March 1519, 1999, San Diego, California AJTE996229 HEAT TRANSFER CODES FOR STUDENTS IN JAVA W.J. Devenport,* J.A. Schetz** and Yu.
More informationA LAMINAR FLOW ELEMENT WITH A LINEAR PRESSURE DROP VERSUS VOLUMETRIC FLOW. 1998 ASME Fluids Engineering Division Summer Meeting
TELEDYNE HASTINGS TECHNICAL PAPERS INSTRUMENTS A LAMINAR FLOW ELEMENT WITH A LINEAR PRESSURE DROP VERSUS VOLUMETRIC FLOW Proceedings of FEDSM 98: June 5, 998, Washington, DC FEDSM98 49 ABSTRACT The pressure
More informationAdaptation of General Purpose CFD Code for Fusion MHD Applications*
Adaptation of General Purpose CFD Code for Fusion MHD Applications* Andrei Khodak Princeton Plasma Physics Laboratory P.O. Box 451 Princeton, NJ, 08540 USA akhodak@pppl.gov Abstract Analysis of many fusion
More informationExpress Introductory Training in ANSYS Fluent Lecture 1 Introduction to the CFD Methodology
Express Introductory Training in ANSYS Fluent Lecture 1 Introduction to the CFD Methodology Dimitrios Sofialidis Technical Manager, SimTec Ltd. Mechanical Engineer, PhD PRACE Autumn School 2013  Industry
More informationAbaqus/CFD Sample Problems. Abaqus 6.10
Abaqus/CFD Sample Problems Abaqus 6.10 Contents 1. Oscillatory Laminar Plane Poiseuille Flow 2. Flow in Shear Driven Cavities 3. Buoyancy Driven Flow in Cavities 4. Turbulent Flow in a Rectangular Channel
More informationBasic Principles in Microfluidics
Basic Principles in Microfluidics 1 Newton s Second Law for Fluidics Newton s 2 nd Law (F= ma) : Time rate of change of momentum of a system equal to net force acting on system!f = dp dt Sum of forces
More informationA Guide to Calculate Convection Coefficients for Thermal Problems Application Note
A Guide to Calculate Convection Coefficients for Thermal Problems Application Note Keywords: Thermal analysis, convection coefficients, computational fluid dynamics, free convection, forced convection.
More informationdu u U 0 U dy y b 0 b
BASIC CONCEPTS/DEFINITIONS OF FLUID MECHANICS (by Marios M. Fyrillas) 1. Density (πυκνότητα) Symbol: 3 Units of measure: kg / m Equation: m ( m mass, V volume) V. Pressure (πίεση) Alternative definition:
More informationThis chapter describes how you can model solidification and melting in FLUENT. Information is organized into the following sections:
Chapter 21. Melting Modeling Solidification and This chapter describes how you can model solidification and melting in FLUENT. Information is organized into the following sections: Section 21.1: Overview
More informationChapter 2. Derivation of the Equations of Open Channel Flow. 2.1 General Considerations
Chapter 2. Derivation of the Equations of Open Channel Flow 2.1 General Considerations Of interest is water flowing in a channel with a free surface, which is usually referred to as open channel flow.
More informationOpenFOAM Opensource and CFD
OpenFOAM Opensource and CFD Andrew King Department of Mechanical Engineering Curtin University Outline What is Opensource Software OpenFOAM Overview Utilities, Libraries and Solvers Data Formats The CFD
More informationHEAT TRANSFER ANALYSIS IN A 3D SQUARE CHANNEL LAMINAR FLOW WITH USING BAFFLES 1 Vikram Bishnoi
HEAT TRANSFER ANALYSIS IN A 3D SQUARE CHANNEL LAMINAR FLOW WITH USING BAFFLES 1 Vikram Bishnoi 2 Rajesh Dudi 1 Scholar and 2 Assistant Professor,Department of Mechanical Engineering, OITM, Hisar (Haryana)
More informationFundamentals of Heat and Mass Transfer
2008 AGIInformation Management Consultants May be used for personal purporses only or by libraries associated to dandelon.com network. SIXTH EDITION Fundamentals of Heat and Mass Transfer FRANK P. INCROPERA
More informationApplied Fluid Mechanics
Applied Fluid Mechanics 1. The Nature of Fluid and the Study of Fluid Mechanics 2. Viscosity of Fluid 3. Pressure Measurement 4. Forces Due to Static Fluid 5. Buoyancy and Stability 6. Flow of Fluid and
More informationTurbulence and Fluent
Turbulence and Fluent Turbulence Modeling What is Turbulence? We do not really know 3D, unsteady, irregular motion in which transported quantities fluctuate in time and space. Turbulent eddies (spatial
More informationThe Influence of Aerodynamics on the Design of HighPerformance Road Vehicles
The Influence of Aerodynamics on the Design of HighPerformance Road Vehicles Guido Buresti Department of Aerospace Engineering University of Pisa (Italy) 1 CONTENTS ELEMENTS OF AERODYNAMICS AERODYNAMICS
More informationForces on a Model Rocket
Forces on a Model Rocket This pamphlet was developed using information for the Glenn Learning Technologies Project. For more information, visit their web site at: http://www.grc.nasa.gov/www/k12/aboutltp/educationaltechnologyapplications.html
More informationA. Hyll and V. Horák * Department of Mechanical Engineering, Faculty of Military Technology, University of Defence, Brno, Czech Republic
AiMT Advances in Military Technology Vol. 8, No. 1, June 2013 Aerodynamic Characteristics of MultiElement Iced Airfoil CFD Simulation A. Hyll and V. Horák * Department of Mechanical Engineering, Faculty
More informationGraduate Courses in Mechanical Engineering
Graduate Courses in Mechanical Engineering MEEG 501 ADVANCED MECHANICAL ENGINEERING ANALYSIS An advanced, unified approach to the solution of mechanical engineering problems, with emphasis on the formulation
More informationME6130 An introduction to CFD 11
ME6130 An introduction to CFD 11 What is CFD? Computational fluid dynamics (CFD) is the science of predicting fluid flow, heat and mass transfer, chemical reactions, and related phenomena by solving numerically
More information1. Introduction, fluid properties (1.1, and handouts)
1. Introduction, fluid properties (1.1, and handouts) Introduction, general information Course overview Fluids as a continuum Density Compressibility Viscosity Exercises: A1 Applications of fluid mechanics
More informationPractice Problems on the NavierStokes Equations
ns_0 A viscous, incompressible, Newtonian liquid flows in stead, laminar, planar flow down a vertical wall. The thickness,, of the liquid film remains constant. Since the liquid free surface is eposed
More informationHigh resolution modelling of flowvegetation interactions: From the stem scale to the reach scale
Septième École Interdisciplinaire de Rennes sur les Systèmes Complexes  13 th October 2015 High resolution modelling of flowvegetation interactions: From the stem scale to the reach scale Tim Marjoribanks
More informationPlates and Shells: Theory and Computation  4D9  Dr Fehmi Cirak (fc286@) Office: Inglis building mezzanine level (INO 31)
Plates and Shells: Theory and Computation  4D9  Dr Fehmi Cirak (fc286@) Office: Inglis building mezzanine level (INO 31) Outline 1! This part of the module consists of seven lectures and will focus
More informationNumerical Simulation of the External Flow Field. Around a Bluff Car*
Numerical Simulation of the External Flow Field Around a Bluff Car* Sun Yongling, Wu Guangqiang, Xieshuo Automotive Engineering Department Shanghai Tongji University Shanghai, China Email: wuqjuhyk@online.sh.cn
More informationTurbulent Flow Examples
Turbulent Flow Examples 1 / 47 2d Backstep Experiments conducted at NASA Ames (Driver and Seegmiller, 1985) Re H = 3.74 x 10 4, α = 0deg. The flow features recirculation, reattachment, and redeveloping
More informationIntroduction to Flight
Introduction to Flight Sixth Edition John D. Anderson, Jr. Curator for Aerodynamics, National Air and Space Museum Smithsonian Institution Professor Emeritus University of Maryland Boston Burr Ridge, IL
More informationComputational Fluid Dynamics Investigation of Two Surfboard Fin Configurations.
Computational Fluid Dynamics Investigation of Two Surfboard Fin Configurations. By: Anthony Livanos (10408690) Supervisor: Dr Philippa O Neil Faculty of Engineering University of Western Australia For
More informationExperiment (13): Flow channel
Introduction: An open channel is a duct in which the liquid flows with a free surface exposed to atmospheric pressure. Along the length of the duct, the pressure at the surface is therefore constant and
More informationANALYSIS OF FULLY DEVELOPED TURBULENT FLOW IN A PIPE USING COMPUTATIONAL FLUID DYNAMICS D. Bhandari 1, Dr. S. Singh 2
ANALYSIS OF FULLY DEVELOPED TURBULENT FLOW IN A PIPE USING COMPUTATIONAL FLUID DYNAMICS D. Bhandari 1, Dr. S. Singh 2 1 M. Tech Scholar, 2 Associate Professor Department of Mechanical Engineering, Bipin
More information momentum conservation equation ρ = ρf. These are equivalent to four scalar equations with four unknowns:  pressure p  velocity components
J. Szantyr Lecture No. 14 The closed system of equations of the fluid mechanics The above presented equations form the closed system of the fluid mechanics equations, which may be employed for description
More informationManufacturing Equipment Modeling
QUESTION 1 For a linear axis actuated by an electric motor complete the following: a. Derive a differential equation for the linear axis velocity assuming viscous friction acts on the DC motor shaft, leadscrew,
More informationO.F.Wind Wind Site Assessment Simulation in complex terrain based on OpenFOAM. Darmstadt, 27.06.2012
O.F.Wind Wind Site Assessment Simulation in complex terrain based on OpenFOAM Darmstadt, 27.06.2012 Michael Ehlen IB Fischer CFD+engineering GmbH Lipowskystr. 12 81373 München Tel. 089/74118743 Fax 089/74118749
More informationAgoraLink Agora for Life Science Technologies Linköpings Universitet Kurs i Fysiologisk mätteknik Biofluidflöden
AgoraLink Agora for Life Science Technologies Linköpings Universitet Kurs i Fysiologisk mätteknik Biofluidflöden Fysiologisk mätteknik Anatomy of the heart The complex myocardium structure right ventricle
More informationTurn off all electronic devices
Balloons 1 Balloons 2 Observations about Balloons Balloons Balloons are held taut by the gases inside Some balloon float in air while others don t Hotair balloons don t have to be sealed Helium balloons
More information