Egon Krause. Fluid Mechanics
|
|
- Marilyn Palmer
- 5 years ago
- Views:
Transcription
1 Egon Krause Fluid Mechanics
2 Egon Krause Fluid Mechanics With Problems and Solutions, and an Aerodynamic Laboratory With 607 Figures
3 Prof. Dr. Egon Krause RWTH Aachen Aerodynamisches Institut Wüllnerstr Aachen Germany ISBN Springer Berlin Heidelberg New York Library of Congress Control Number: This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in other ways, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable to prosecution under German Copyright Law. SpringerisapartofSpringerScience+Business Media springeronline.com c Springer-Verlag Berlin Heidelberg 2005 Printed in Germany The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: Data conversion by the authors. Final processing by PTP-Berlin Protago-TEX-Production GmbH, Germany Cover-Design: design & production GmbH, Heidelberg Printed on acid-free paper 62/3020Yu
4 Preface During the past 40 years numerical and experimental methods of fluid mechanics were substantially improved. Nowadays time-dependent three-dimensional flows can be simulated on high-performance computers, and velocity and pressure distributions and aerodynamic forces and moments can be measured in modern wind tunnels for flight regimes, until recently not accessible for research investigations. Despite of this impressive development during the recent past and even 100 years after Prandtl introduced the boundary-layer theory, the fundamentals are still the starting point for the solution of flow problems. In the present book the important branches of fluid mechanics of incompressible and compressible media and the basic laws describing their characteristic flow behavior will be introduced. Applications of these laws will be discussed in a way suitable for engineering requirements. The book is divided into the six chapters: Fluid mechanics I and II, exercises in fluid mechanics, gas dynamics, exercises in gasdynamics, and aerodynamics laboratory. This arrangement follows the structure of the teaching material in the field, generally accepted and approved for a long time at German and foreign universities. In fluid mechanics I, after some introductory statements, incompressible fluid flow is described essentially with the aid of the momentum and the moment of momentum theorem. In fluid mechanics II the equations of motion of fluid mechanics, the Navier-Stokes equations, with some of their important asymptotic solutions are introduced. It is demonstrated, how flows can be classified with the aid of similarity parameters, and how specific problems can be identified, formulated and solved. In the chapter on gasdynamics the influence of variable density on the behavior of subsonic and supersonic flows is described. In the exercises on fluid mechanics I and II and on gasdynamics the material described in the previous chapters is elaborated in over 200 problems, with the solutions presented separately. It is demonstrated how the fundamental equations of fluid mechanics and gasdynamics can be simplified for the various problem formulations and how solutions can be constructed. Numerical methods are not employed. It is intended here, to describe the fundamental relationships in closed form as far as possible, in order to elucidate the intimate connection between the engineering formulation of fluid-mechanical problems and their solution with the methods of applied mathematics. In the selection of the problems it was also intended, to exhibit the many different forms of flows, observed in nature and technical applications. Because of the special importance of experiments in fluid mechanics, in the last chapter, aerodynamics laboratory, experimental techniques are introduced. It is not intended to give a comprehensive and complete description of experimental methods, but rather to explain with the description of experiments, how in wind tunnels and other test facilities experimental data can be obtained. A course under the same title has been taught for a long time at the Aerodymisches Institut of the RWTH Aachen. In the various lectures and exercises the functioning of low-speed and supersonic wind tunnels and the measuring techniques are explained in experiments, carried out in the facilities of the laboratory. The experiments comprise measurements of pressure distributions on a half body and a wing section, of the drag of a sphere in incompressible and compressible flow, of the aerodynmic forces and their moments acting on a wing section, of velocity profiles in a flat-plate boundary layer, and of losses in compressible pipe flow. Another important aspect of the laboratory course is to explain flow analogies, as for example the
5 VI Preface so-called water analogy, according to which a pressure disturbance in a pipe, filled with a compressible gas, propagates analogously to the pressure disturbance in supercritical shallow water flow. This book was stimulated by the friendly encouragement of Dr. M. Feuchte of B.G. Teubner- Verlag. My thanks go also to Dr. D. Merkle of the Springer-Verlag, who agreed to publish the English translation of the German text. Grateful acknowledgement is due to my successor Professor Dr.-Ing. W. Schröder, who provided personal and material support by the Aerodynamisches Institut in the preparation of the manuscript. I am indebted to Dr.-Ing. O. Thomer who was responsible for the preparatory work during the initial phase of the project until he left the institute. The final manuscript was prepared by cand.-ing. O. Yilmaz, whom I gratefully acknowledge. Dr.-Ing. M. Meinke offered valuable advice in the preparation of some of the diagrams. Aachen, July 2004 E. Krause
6 Table of Contents 1. Fluid Mechanics I Introduction Hydrostatics Surface and Volume Forces Applications of the Hydrostatic Equation HydrostaticLift Hydrodynamics Kinematics of Fluid Flows Stream Tube and Filament Applications of Bernoulli s Equation One-Dimensional Unsteady Flow Momentum and Moment of Momentum Theorem Momentum Theorem Applications of the Momentum Theorem Flows in Open Channels Moment of Momentum Theorem Applications of the Moment of Momentum Theorem Parallel Flow of Viscous Fluids ViscosityLaws Plane Shear Flow with Pressure Gradient Laminar Pipe Flow Turbulent Pipe Flows Momentum Transport in Turbulent Flows Velocity Distribution and Resistance Law Pipes with Non-circular Cross Section Fluid Mechanics II Introduction Fundamental Equations of Fluid Mechanics TheContinuityEquation TheNavier-StokesEquations The Energy Equation Different Forms of the Energy Equation Similar Flows Derivation of the Similarity Parameters with the Method of Dimensional Analysis The Method of Differential Equations Physical Meaning of the Similarity Parameters Creeping Motion... 42
7 VIII Table of Contents 2.5 Vortex Theorems Rotation and Circulation Vorticity Transport Equation Potential Flows of Incompressible Fluids Potential and Stream Function Determination of the Pressure The Complex Stream Function Examples for Plane Incompressible Potential Flows Kutta-Joukowski Theorem PlaneGravitationalWaves Laminar Boundary Layers Boundary-Layer Thickness and Friction Coefficient Boundary-Layer Equations The von KármánIntegralRelation Similar Solution for the Flat Plate at Zero Incidence Turbulent Boundary Layers Boundary-Layer Equations for Turbulent Flow Turbulent Boundary Layer on the Flat Plate at Zero Incidence Separation of the Boundary Layer Selected References Appendix Exercises in Fluid Mechanics Problems Hydrostatics Hydrodynamics Momentum and Moment of Momentum Theorem Laminar Flow of Viscous Fluids PipeFlows Similar Flows Potential Flows of Incompressible Fluids Boundary Layers Drag Solutions Hydrostatics Hydrodynamics Momentum and Moment of Momentum Theorem Laminar Flow of Viscous Fluids PipeFlows Similar Flows Potential Flows of Incompressible Fluids Boundary Layers Drag Gasdynamics Introduction Thermodynamic Relations
8 Table of Contents IX 4.3 One-Dimensional Steady Gas Flow ConservationEquations TheSpeedofSound Integral of the Energy Equation Sonic Conditions The Limiting Velocity Stream Tube with Variable Cross-Section NormalCompressionShock The Jump Conditions IncreaseofEntropyAcrosstheNormalCompressionShock NormalShockinTransonicFlow Oblique Compression Shock Jump Conditions and Turning of the Flow WeakandStrongSolution Heart-CurveDiagramandHodographPlane WeakCompressionShocks ThePrandtl-MeyerFlow IsentropicChangeofVelocity CornerFlow InteractionBetweenShockWavesandExpansions LiftandWaveDraginSupersonicFlow TheWaveDrag LiftofaFlatPlateatAngleofAttack Thin Profiles at Angle of Attack Theory of Characteristics The Crocco Vorticity Theorem The Fundamental Equation of Gasdynamics Compatibility Conditions for Two-Dimensional Flows Computation of Supersonic Flows Compressible Potential Flows Simplification of the Potential Equation Determination of the Pressure Coefficient Plane Supersonic Flows About Slender Bodies Plane Subsonic Flow About Slender Bodies Flows about Slender Bodies of Revolution Similarity Rules Similarity Rules for Plane Flows After the Linearized Theory Application of the Similarity Rules to Plane Flows Similarity Rules for Axially Symmetric Flows Similarity Rules for Plane Transonic Flows Selected References Exercises in Gasdynamics Problems One-Dimensional Steady Flows of Gases NormalCompressionShock Oblique Compression Shock ExpansionsandCompressionShocks Lift and Wave Drag Small-Perturbation Theory
9 X Table of Contents Theory of Characteristics Compressible Potential Flows and Similarity Rules Solutions One-Dimensional Steady Flows of Gases NormalCompressionShock Oblique Compression Shock ExpansionsandCompressionShocks Lift and Wave Drag Small-Perturbation Theory Theory of Characteristics Compressible Potential Flows and Similarity Rules Appendix Aerodynamics Laboratory Wind Tunnel for Low Speeds (Göttingen-Type Wind Tunnel) Preliminary Remarks Wind Tunnels for Low Speeds Charakteristic Data of a Wind Tunnel Method of Test and Measuring Technique Evaluation Pressure Distribution on a Half Body Determination of the Contour and the Pressure Distribution Measurement of the Pressure The Hele-Shaw Flow Evaluation Sphere in Incompressible Flow Fundamentals Shift of the Critical Reynolds Number by Various Factors of Influence MethodofTest Evaluation Flat-Plate Boundary Layer Introductory Remarks MethodofTest Prediction Methods Evaluation Questions Pressure Distribution on a Wing Wing of Infinite Span Wing of Finite Span MethodofTest Evaluation Aerodynamic Forces Acting on a Wing Nomenclature of Profiles Measurement of Aerodynamic Forces Application of Measured Data to Full-Scale Configurations Evaluation Water Analogy Propagation of Surface Waves in Shallow Water andofpressurewavesingases Introduction
10 Table of Contents XI The Water Analogy of Compressible Flow The Experiment Evaluation Resistance and Losses in Compressible Pipe Flow Flow Resistance of a Pipe with Inserted Throttle (Orificee, Nozzle, Valve etc.) FrictionResistanceofaPipeWithoutaThrottle Resistance of an Orifice Evaluation Problems Measuring Methods for Compressible Flows Tabular Summary of Measuring Methods Optical Methods for Density Measurements OpticalSetup Measurements of Velocities and Turbulent Fluctuation Velocities Evaluation Supersonic Wind Tunnel and Compression Shock at the Wedge Introduction Classification of Wind Tunnels Elements of a Supersonic Tunnel The Oblique Compression Shock Description of the Experiment Evaluation Sphere in Compressible Flow Introduction The Experiment Fundamentals of the Compressible Flow About a Sphere Evaluation Questions Index 351
Latif M. Jiji. Heat Convection. With 206 Figures and 16 Tables
Heat Convection Latif M. Jiji Heat Convection With 206 Figures and 16 Tables Prof. Latif M. Jiji City University of New York School of Engineering Dept. of Mechanical Engineering Convent Avenue at 138th
More informationEgon Krause. Fluid Mechanics
Egon Krause Fluid Mechanics Egon Krause Fluid Mechanics With Problems and Solutions, and an Aerodynamic Laboratory With 607 Figures Prof. Dr. Egon Krause RWTH Aachen Aerodynamisches Institut Wüllnerstr.5-7
More informationFUNDAMENTALS OF AERODYNAMICS
*A \ FUNDAMENTALS OF AERODYNAMICS Second Edition John D. Anderson, Jr. Professor of Aerospace Engineering University of Maryland H ' McGraw-Hill, Inc. New York St. Louis San Francisco Auckland Bogota Caracas
More information1000 Solved Problems in Classical Physics
1000 Solved Problems in Classical Physics Ahmad A. Kamal 1000 Solved Problems in Classical Physics An Exercise Book 123 Dr. Ahmad A. Kamal Silversprings Lane 425 75094 Murphy Texas USA anwarakamal@yahoo.com
More informationLandolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W.
Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group VIII: Advanced Materials and Technologies Volume 6 Polymers Subvolume
More informationHermann Schlichting (Deceased) Klaus Gersten. Boundary- Layer Theory. Ninth Edition
Hermann Schlichting (Deceased) Klaus Gersten Boundary- Layer Theory Ninth Edition Boundary-Layer Theory Hermann Schlichting (Deceased) Klaus Gersten Boundary-Layer Theory With contributions from Egon Krause
More informationBourbaki Elements of the History of Mathematics
Bourbaki Elements of the History of Mathematics Springer Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo Nicolas Bourbaki Elements of the History of Mathematics Translated
More informationTheory of Elasticity
Theory of Elasticity Aldo Maceri Theory of Elasticity 123 Prof. Dr.-Ing. Aldo Maceri Universitá Roma Tre Departimento di Ingegneria Meccanica e Industriale Via della Vasca Navale, 79 00146 Roma Italy
More informationSpringer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo
Springer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo J. M. RUeger Electronic Distance Measurement An Introduction Fourth Edition With 56 Figures
More informationFundamentals of Aerodynamics
Fundamentals of Aerodynamics Fourth Edition John D. Anderson, Jr. Curator of Aerodynamics National Air and Space Museum Smithsonian Institution and Professor Emeritus University of Maryland Me Graw Hill
More informationBoundary-Layer Theory
Hermann Schlichting Klaus Gersten Boundary-Layer Theory With contributions from Egon Krause and Herbert Oertel Jr. Translated by Katherine Mayes 8th Revised and Enlarged Edition With 287 Figures and 22
More informationExperimental Techniques in Nuclear and Particle Physics
Experimental Techniques in Nuclear and Particle Physics Stefaan Tavernier Experimental Techniques in Nuclear and Particle Physics 123 Prof. Stefaan Tavernier Vrije Universiteit Brussel Fak. Wetenschappen
More informationNuclear Magnetic Resonance Data
Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group III: Condensed Matter Volume 35 Nuclear Magnetic Resonance Data
More informationNuclear Magnetic Resonance Data
Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group III: Condensed Matter Volume 35 Nuclear Magnetic Resonance Data
More informationFundamentals of Aerodynamits
Fundamentals of Aerodynamits Fifth Edition in SI Units John D. Anderson, Jr. Curator of Aerodynamics National Air and Space Museum Smithsonian Institution and Professor Emeritus University of Maryland
More informationContents. I Introduction 1. Preface. xiii
Contents Preface xiii I Introduction 1 1 Continuous matter 3 1.1 Molecules................................ 4 1.2 The continuum approximation.................... 6 1.3 Newtonian mechanics.........................
More informationKarl-Rudolf Koch Introduction to Bayesian Statistics Second Edition
Karl-Rudolf Koch Introduction to Bayesian Statistics Second Edition Karl-Rudolf Koch Introduction to Bayesian Statistics Second, updated and enlarged Edition With 17 Figures Professor Dr.-Ing., Dr.-Ing.
More informationLandolt-Börnstein / New Series
Landolt-Börnstein / New Series Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series Editor in Chief: W. Martienssen Units and Fundamental Constants in Physics
More informationData Analysis Using the Method of Least Squares
Data Analysis Using the Method of Least Squares J. Wolberg Data Analysis Using the Method of Least Squares Extracting the Most Information from Experiments With Figures and Tables 123 John Wolberg Technion-Israel
More informationGünter Zschornack Handbook of X-Ray Data
Günter Zschornack Handbook of X-Ray Data Günter Zschornack Handbook of X-Ray Data With 113 Figures and 161 Tables 123 Ass.-Prof. Dr. rer. nat. habil. Günter Zschornack Technische Universität Dresden Institut
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 informationIgor Emri Arkady Voloshin. Statics. Learning from Engineering Examples
Statics Igor Emri Arkady Voloshin Statics Learning from Engineering Examples Igor Emri University of Ljubljana Ljubljana, Slovenia Arkady Voloshin Lehigh University Bethlehem, PA, USA ISBN 978-1-4939-2100-3
More informationUV-VIS Spectroscopy and Its Applications
SPRINGER LABORATORY Heinz-Helmut Perkampus UV-VIS Spectroscopy and Its Applications Translated by H. Charlotte Grinter and Dr. T. L. Threlfall With 78 Figures and 21 Tables Springer -Ver lag Berlin Heidelberg
More informationStochastic Optimization Methods
Stochastic Optimization Methods Kurt Marti Stochastic Optimization Methods With 14 Figures 4y Springer Univ. Professor Dr. sc. math. Kurt Marti Federal Armed Forces University Munich Aero-Space Engineering
More informationDifferential Scanning Calorimetry
Differential Scanning Calorimetry Springer-Verlag Berlin Heidelberg GmbH G. W. H. H6hne. W. F. Hemminger H.-J. Flammersheim Differential Scanning Ca lori metry 2nd revised and enlarged edition With 130
More informationShijun Liao. Homotopy Analysis Method in Nonlinear Differential Equations
Shijun Liao Homotopy Analysis Method in Nonlinear Differential Equations Shijun Liao Homotopy Analysis Method in Nonlinear Differential Equations With 127 figures Author Shijun Liao Shanghai Jiao Tong
More informationNonlinear Dynamical Systems in Engineering
Nonlinear Dynamical Systems in Engineering . Vasile Marinca Nicolae Herisanu Nonlinear Dynamical Systems in Engineering Some Approximate Approaches Vasile Marinca Politehnica University of Timisoara Department
More informationPeter Orlik Volkmar Welker. Algebraic Combinatorics. Lectures at a Summer School in Nordfjordeid, Norway, June 2003 ABC
Peter Orlik Volkmar Welker Algebraic Combinatorics Lectures at a Summer School in Nordfjordeid, Norway, June 2003 ABC Authors Peter Orlik Department of Mathematics University of Wisconsin-Madison 480 Lincoln
More informationThiS is a FM Blank Page
Acid-Base Diagrams ThiS is a FM Blank Page Heike Kahlert Fritz Scholz Acid-Base Diagrams Heike Kahlert Fritz Scholz Institute of Biochemistry University of Greifswald Greifswald Germany English edition
More informationSyllabus for AE3610, Aerodynamics I
Syllabus for AE3610, Aerodynamics I Current Catalog Data: AE 3610 Aerodynamics I Credit: 4 hours A study of incompressible aerodynamics of flight vehicles with emphasis on combined application of theory
More informationLecture Notes in Economics and Mathematical Systems
Lecture Notes in Economics and Mathematical Systems 524 Founding Editors: M. Beckmann H. P. Ktinzi Managing Editors: Prof. Dr. G. Fandel Fachbereich Wirtschaftswissenschaften Femuniversitiit Hagen Feithstr.
More informationStatistical Physics of Polymers
Statistical Physics of Polymers Advanced Texts in Physics This program of advanced texts covers a broad spectrum of topics which are of current and emerging interest in physics. Each book provides a comprehensive
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 informationA. Kovacevic N. Stosic I. Smith. Screw Compressors. Three Dimensional Computational Fluid Dynamics and Solid Fluid Interaction.
Screw Compressors A. Kovacevic N. Stosic I. Smith Screw Compressors Three Dimensional Computational Fluid Dynamics and Solid Fluid Interaction With 83 Figures Ahmed Kovacevic Nikola Stosic Ian Smith School
More informationCompressible Potential Flow: The Full Potential Equation. Copyright 2009 Narayanan Komerath
Compressible Potential Flow: The Full Potential Equation 1 Introduction Recall that for incompressible flow conditions, velocity is not large enough to cause density changes, so density is known. Thus
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 informationMathematical Formulas for Economists
Mathematical Formulas for Economists Springer-Verlag Berlin Heidelberg GmbH Bernd Luderer. Volker Nollau Klaus Vetters Mathematical Formulas for Economists With 58 Figures and 6 Tables, Springer Professor
More informationStatics and Mechanics of Structures
Statics and Mechanics of Structures Steen Krenk Jan Høgsberg Statics and Mechanics of Structures Prof. Steen Krenk Department of Mechanical Engineering Technical University of Denmark Kongens Lyngby,
More informationWalter R. Johnson Atomic Structure Theory
Walter R. Johnson Atomic Structure Theory Walter R. Johnson Atomic Structure Theory Lectures on Atomic Physics With 21 Figures and 45 Tables 123 Professor Dr. Walter R. Johnson University of Notre Dame
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 informationParameter Estimation and Hypothesis Testing in Linear Models
Parameter Estimation and Hypothesis Testing in Linear Models Springer-Verlag Berlin Heidelberg GmbH Karl-Rudolf Koch Parameter Estimation and Hypothesis Testing in Linear Models Second, updated and enlarged
More informationFundamentals of Mass Determination
Fundamentals of Mass Determination Michael Borys Roman Schwartz Arthur Reichmuth Roland Nater Fundamentals of Mass Determination 123 Michael Borys Fachlabor 1.41 Physikalisch-Technische Bundesanstalt Bundesallee
More informationClassics in Mathematics Andre Weil Elliptic Functions according to Eisenstein and Kronecker
Classics in Mathematics Andre Weil Elliptic Functions according to Eisenstein and Kronecker Andre Weil was horn on May 6, 1906 in Paris. After studying mathematics at the Ecole Normale Superieure and receiving
More informationSemantics of the Probabilistic Typed Lambda Calculus
Semantics of the Probabilistic Typed Lambda Calculus Dirk Draheim Semantics of the Probabilistic Typed Lambda Calculus Markov Chain Semantics, Termination Behavior, and Denotational Semantics Dirk Draheim
More informationLecture Notes in Mathematics Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris
Lecture Notes in Mathematics 1915 Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris Türker Bıyıkoğlu Josef Leydold Peter F. Stadler Laplacian Eigenvectors of Graphs Perron-Frobenius
More informationDetailed Outline, M E 521: Foundations of Fluid Mechanics I
Detailed Outline, M E 521: Foundations of Fluid Mechanics I I. Introduction and Review A. Notation 1. Vectors 2. Second-order tensors 3. Volume vs. velocity 4. Del operator B. Chapter 1: Review of Basic
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 informationLauge Fuglsang Nielsen. Composite Materials. Properties as Influenced by Phase Geometry. With 241 Figures ABC
Composite Materials Lauge Fuglsang Nielsen Composite Materials Properties as Influenced by Phase Geometry With 241 Figures ABC Lauge Fuglsang Nielsen Technical University of Denmark Dept. Civil Engineering,
More informationMechanics of Materials
Mechanics of Materials Parviz Ghavami Mechanics of Materials An Introduction to Engineering Technology Parviz Ghavami Harlingen, TX, USA ISBN 978-3-319-07571-6 ISBN 978-3-319-07572-3 (ebook) DOI 10.1007/978-3-319-07572-3
More informationPropulsion Systems and Aerodynamics MODULE CODE LEVEL 6 CREDITS 20 Engineering and Mathematics Industrial Collaborative Engineering
TITLE Propulsion Systems and Aerodynamics MODULE CODE 55-6894 LEVEL 6 CREDITS 20 DEPARTMENT Engineering and Mathematics SUBJECT GROUP Industrial Collaborative Engineering MODULE LEADER Dr. Xinjun Cui DATE
More information1. Fluid Dynamics Around Airfoils
1. Fluid Dynamics Around Airfoils Two-dimensional flow around a streamlined shape Foces on an airfoil Distribution of pressue coefficient over an airfoil The variation of the lift coefficient with the
More informationUNITEXT La Matematica per il 3+2. Volume 87
UNITEXT La Matematica per il 3+2 Volume 87 More information about this series at http://www.springer.com/series/5418 Sandro Salsa Gianmaria Verzini Partial Differential Equations in Action Complements
More informationNuclear Fission and Cluster Radioactivity
Nuclear Fission and Cluster Radioactivity M. A. Hooshyar I. Reichstein F. B. Malik Nuclear Fission and Cluster Radioactivity An Energy-Density Functional Approach With 82 Figures ABC Authors Professor
More informationClassics in Mathematics
Classics in Mathematics Friedrich Hirzebruch Topological Methods in Algebraic Geometry Friedrich Hirzebruch Topological Methods in Algebraic Geometry Reprint of the 1978 Edition Springer Friedrich Hirzebruch
More informationFeynman Integral Calculus
Feynman Integral Calculus Vladimir A. Smirnov Feynman Integral Calculus ABC Vladimir A. Smirnov Lomonosov Moscow State University Skobeltsyn Institute of Nuclear Physics Moscow 119992, Russia E-mail: smirnov@theory.sinp.msu.ru
More informationHigh Speed Aerodynamics. Copyright 2009 Narayanan Komerath
Welcome to High Speed Aerodynamics 1 Lift, drag and pitching moment? Linearized Potential Flow Transformations Compressible Boundary Layer WHAT IS HIGH SPEED AERODYNAMICS? Airfoil section? Thin airfoil
More informationTopics in Boundary Element
Topics in Boundary Element Research Edited by C. A. Brebbia Volume 7 Electrical Engineering Applications With 186 Figures and 11 Tables Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong
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 informationPeter E. Kloeden Eckhard Platen. Numerical Solution of Stochastic Differential Equations
Peter E. Kloeden Eckhard Platen Numerical Solution of Stochastic Differential Equations Peter E. Kloeden School of Computing and Mathematics, Deakin Universit y Geelong 3217, Victoria, Australia Eckhard
More informationMetalliferous Sediments of the World Ocean. Metalliferous Sediments of the World Ocean
Gurvich Evgeny Gurvich evgeny gurvich was born in 1947 in Moscow. He received his Ph.D. and D.Sc. degrees from the P. P. Shirshov Institute of Oceanology in Moscow where he remained for more than 25 years.
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 informationFluid Mechanics for Engineers
Fluid Mechanics for Engineers Meinhard T. Schobeiri Fluid Mechanics for Engineers A Graduate Textbook ABC Prof.Dr.-Ing. Meinhard T. Schobeiri Department of Mechanical Engineering Texas A&M University College
More informationQing-Hua Qin. Advanced Mechanics of Piezoelectricity
Qing-Hua Qin Advanced Mechanics of Piezoelectricity Qing-Hua Qin Advanced Mechanics of Piezoelectricity With 77 figures Author Prof. Qing-Hua Qin Research School of Engineering Australian National University
More informationMagnetic Properties of Non-Metallic Inorganic Compounds Based on Transition Elements
Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group III: Condensed Matter Volume 27 Magnetic Properties of Non-Metallic
More informationExtended Irreversible Thermodynamics
Extended Irreversible Thermodynamics D. Jou 1. Casas-Vazquez G.Lebon Extended Irreversible Thermodynamics With 19 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona
More informationLecture Notes in Artificial Intelligence
Lecture Notes in Artificial Intelligence Subseries of Lecture Notes in Computer Science Edited by J.G. Carbonell and J. Siekmann 1047 Lecture Notes in Computer Science Edited by G. Goos, J. Hartmanis and
More informationGiven a stream function for a cylinder in a uniform flow with circulation: a) Sketch the flow pattern in terms of streamlines.
Question Given a stream function for a cylinder in a uniform flow with circulation: R Γ r ψ = U r sinθ + ln r π R a) Sketch the flow pattern in terms of streamlines. b) Derive an expression for the angular
More informationDynamics Formulas and Problems
Dynamics Formulas and Problems Dietmar Gross Wolfgang Ehlers Peter Wriggers Jörg Schröder Ralf Müller Dynamics Formulas and Problems Engineering Mechanics 3 123 Dietmar Gross Division of Solid Mechanics
More informationIntroduction to Aerodynamics. Dr. Guven Aerospace Engineer (P.hD)
Introduction to Aerodynamics Dr. Guven Aerospace Engineer (P.hD) Aerodynamic Forces All aerodynamic forces are generated wither through pressure distribution or a shear stress distribution on a body. The
More informationChapter 1: Basic Concepts
What is a fluid? A fluid is a substance in the gaseous or liquid form Distinction between solid and fluid? Solid: can resist an applied shear by deforming. Stress is proportional to strain Fluid: deforms
More informationLatif M. Jiji. Heat Conduction. Third Edition ABC
Heat Conduction Latif M. Jiji Heat Conduction Third Edition ABC Professor Latif M. Jiji Department of Mechanical Engineering Grove School of Engineering The City College of The City University of New York
More informationAA214B: NUMERICAL METHODS FOR COMPRESSIBLE FLOWS
AA214B: NUMERICAL METHODS FOR COMPRESSIBLE FLOWS 1 / 29 AA214B: NUMERICAL METHODS FOR COMPRESSIBLE FLOWS Hierarchy of Mathematical Models 1 / 29 AA214B: NUMERICAL METHODS FOR COMPRESSIBLE FLOWS 2 / 29
More informationTianyou Fan. Mathematical Theory of Elasticity of Quasicrystals and Its Applications
Tianyou Fan Mathematical Theory of Elasticity of Quasicrystals and Its Applications Tianyou Fan Mathematical Theory of Elasticity of Quasicrystals and Its Applications With 82 figures Author Tianyou Fan
More informationin this web service Cambridge University Press
CONTINUUM MECHANICS This is a modern textbook for courses in continuum mechanics. It provides both the theoretical framework and the numerical methods required to model the behavior of continuous materials.
More informationC ONTENTS CHAPTER TWO HEAT CONDUCTION EQUATION 61 CHAPTER ONE BASICS OF HEAT TRANSFER 1 CHAPTER THREE STEADY HEAT CONDUCTION 127
C ONTENTS Preface xviii Nomenclature xxvi CHAPTER ONE BASICS OF HEAT TRANSFER 1 1-1 Thermodynamics and Heat Transfer 2 Application Areas of Heat Transfer 3 Historical Background 3 1-2 Engineering Heat
More informationPetroleum Geoscience: From Sedimentary Environments to Rock Physics
Petroleum Geoscience: From Sedimentary Environments to Rock Physics Petroleum Geoscience: From Sedimentary Environments to Rock Physics With contributions from Per Avseth, Jan Inge Faleide, Roy H. Gabrielsen,
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 informationACD2503 Aircraft Aerodynamics
ACD2503 Aircraft Aerodynamics Session delivered by: Prof. M. D. Deshpande 1 Aims and Summary PEMP It is intended dto prepare students for participation i i in the design process of an aircraft and its
More informationLecture Notes in Physics
Lecture Notes in Physics Edited by H. Araki, Kyoto, J. Ehlers, MLinchen, K. Hepp, ZSrich R. Kippenhahn, MLinchen, D. Ruelle, Bures-sur-Yvette H.A. WeidenmSIler, Heidelberg, J. Wess, Karlsruhe and J. Zittartz,
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 information58:160 Intermediate Fluid Mechanics Bluff Body Professor Fred Stern Fall 2014
Professor Fred Stern Fall 04 Chapter 7 Bluff Body Fluid flows are broadly categorized:. Internal flows such as ducts/pipes, turbomachinery, open channel/river, which are bounded by walls or fluid interfaces:
More informationFLUID MECHANICS AND HEAT TRANSFER
AN INTRODUCTION TO FLUID MECHANICS AND HEAT TRANSFER AN INTRODUCTION TO FLUID MECHANICS AND HEAT TRANSFER WITH APPLICATIONS IN CHEMICAL & MECHANICAL PROCESS ENGINEERING BY J. M. KAY AND R. M. NEDDERMAN
More informationTable of Contents. Foreword... xiii. Preface... xv
Table of Contents Foreword.... xiii Preface... xv Chapter 1. Fundamental Equations, Dimensionless Numbers... 1 1.1. Fundamental equations... 1 1.1.1. Local equations... 1 1.1.2. Integral conservation equations...
More informationLecture Notes in Physics
Lecture Notes in Physics Edited by H. Araki, Kyoto, J. Ehlers, MLinchen, K. Hepp, ZUrich R. Kippenhahn, ML~nchen, D. Ruelle, Bures-sur-Yvette H.A. WeidenmSIler, Heidelberg, J. Wess, Karlsruhe and J. Zittartz,
More informationTheory of Bridge Aerodynamics
Theory of Bridge Aerodynamics Einar N. Strømmen Theory of Bridge Aerodynamics ABC Professor Dr. Einar N. Strømmen Department of Structural Engineering Norwegian University of Science and Technology 7491
More informationGAS DYNAMICS. M. Halük Aksel. O. Cahit Eralp. and. Middle East Technical University Ankara, Turkey
GAS DYNAMICS M. Halük Aksel and O. Cahit Eralp Middle East Technical University Ankara, Turkey PRENTICE HALL f r \ New York London Toronto Sydney Tokyo Singapore; \ Contents Preface xi Nomenclature xiii
More informationErgebnisse der Mathematik und ihrer Grenzgebiete
Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Foige. Band 16 A Series of Modern Surveys in Mathematics Editorial Board E. Bombieri, Princeton S. Feferman, Stanford N. H. Kuiper, Bures-sur-Yvette
More informationLecture Notes in Computer Science
Lecture Notes in Computer Science Edited by G. Goos and J. Hartmanis 413 Reiner Lenz Group Theoretical Methods in Image Processing II III II II II Springer-Verlag Berlin Heidelberg NewYork London Paris
More informationThin airfoil theory. Chapter Compressible potential flow The full potential equation
hapter 4 Thin airfoil theory 4. ompressible potential flow 4.. The full potential equation In compressible flow, both the lift and drag of a thin airfoil can be determined to a reasonable level of accuracy
More information1. Introduction Some Basic Concepts
1. Introduction Some Basic Concepts 1.What is a fluid? A substance that will go on deforming in the presence of a deforming force, however small 2. What Properties Do Fluids Have? Density ( ) Pressure
More informationAmbrosio Dancer Calculus of Variations and Partial Differential Equations
Ambrosio Dancer Calculus of Variations and Partial Differential Equations Springer-Verlag Berlin Heidelberg GmbH L. Ambrosio N. Dancer Calculus of Variations and Partial Differential Equations Topics on
More informationConvective Heat Transfer
Convective Heat Transfer Solved Problems Michel Favre-Marinet Sedat Tardu This page intentionally left blank Convective Heat Transfer This page intentionally left blank Convective Heat Transfer Solved
More informationAPPLIED FLUID DYNAMICS HANDBOOK
APPLIED FLUID DYNAMICS HANDBOOK ROBERT D. BLEVINS H imhnisdia ttodisdiule Darmstadt Fachbereich Mechanik 'rw.-nr.. [VNR1 VAN NOSTRAND REINHOLD COMPANY ' ' New York Contents Preface / v 1. Definitions /
More informationLEE-SIDE FLOW SIMULATIONS OF CRUCIFORM WING- BODY CONFIGURATIONS AT INCOMPRESSIBLE MACH NUMBERS
LEE-SIDE FLOW SIMULATIONS OF CRUCIFORM WING- BODY CONFIGURATIONS AT INCOMPRESSIBLE MACH NUMBERS Janine Versteegh* ** *University of the Witwatersrand **Council for Scientific and Industrial Research (CSIR)
More informationSpringer Series in 36 Computational Mathematics
Springer Series in 36 Computational Mathematics Editorial Board R. Bank, La Jolla, CA R.L. Graham, La Jolla, CA J. Stoer, Würzburg R. Varga, Kent, Ohio H. Yserentant, Berlin Richard S. Varga Geršgorin
More informationPHYSICAL MECHANISM OF CONVECTION
Tue 8:54:24 AM Slide Nr. 0 of 33 Slides PHYSICAL MECHANISM OF CONVECTION Heat transfer through a fluid is by convection in the presence of bulk fluid motion and by conduction in the absence of it. Chapter
More informationLandolt-Börnstein / New Series
Landolt-Börnstein / New Series Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series Editor in Chief: W. Martienssen Units and Fundamental Constants in Physics
More informationTheoretical Physics 4
Theoretical Physics 4 Wolfgang Nolting Theoretical Physics 4 Special Theory of Relativity 123 Wolfgang Nolting Inst. Physik Humboldt-UniversitRat zu Berlin Berlin, Germany ISBN 978-3-319-44370-6 ISBN 978-3-319-44371-3
More informationLecture Notes in Physics
Lecture Notes in Physics Editorial Board R. Beig, Wien, Austria W. Beiglböck, Heidelberg, Germany W. Domcke, Garching, Germany B.-G. Englert, Singapore U. Frisch, Nice, France P. Hänggi, Augsburg, Germany
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 information