0521850436pre.qxd 15/10/05 3:24 PM Page i Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: THERMAL-FLUID SCIENCES An Integrated Approach Thermal-Fluid Sciences is a truly integrated textbook for an engineering course covering thermodynamics, heat transfer, and fluid mechanics. This integration is based on the fundamental conservation principles of mass, energy, and momentum; a hierarchical grouping of related topics; and the early introduction and revisiting of practical device examples and applications. As with all textbooks the focus is on accuracy and pedagogy. To enhance the learning experience Thermal-Fluid Sciences features full-color illustrations. The robust pedagogy includes chapter learning objectives, overviews, historical vignettes, and numerous examples that follow a consistent problem-solving format, enhanced by innovative self tests and color coding to highlight significant equations and advanced topics. Each chapter concludes with a brief summary and a unique checklist of key concepts and definitions. Integrated tutorials show the student how to use modern software including the NIST database (included on the in-text CD) to obtain thermodynamic and transport properties. Stephen R. Turns has been a Professor of Mechanical Engineering at The Pennsylvania State University since completing his Ph.D. at the University of Wisconsin in 1979. Before that Steve spent five years in the Engine Research Department of General Motors Research Laboratories in Warren, Michigan. His active research interests include the study of pollutant formation and control in combustion systems, combustion engines, combustion instrumentation, slurry fuel combustion, energy conversion, and energy policy. He has published numerous referreed journal articles on many of these topics. Steve is a member of the ASME and many other professional organizations and has been an ABET Program Evaluator since 1994. He is also a dedicated teacher, for which he has won numerous awards including the Penn State Teaching and Learning Consortium, Hall of Fame Faculty Award; Penn State’s Milton S. Eisenhower Award for Distinguished Teaching; the Premier Teaching Award, Penn State Engineering Society; and the Outstanding Teaching Award, Penn State Engineering Society. Steve’s talent as a teacher is also reflected in his bestselling advanced undergraduate textbook Introduction to Combustion: Concepts and Applications, 2nd ed. Steve’s commitment to students and teaching is shown in the innovative approach and design of Thermal-Fluid Sciences: An Integrated Approach and its companion volume Thermodynamics, also published by Cambridge University Press. 0521850436pre.qxd 15/10/05 3:24 PM Page ii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: In lecturing on any subject, it seems to be the natural course to begin with a clear explanation of the nature, purpose, and scope of the subject. But in answer to the question “What is thermo-dynamics?” I feel tempted to reply “It is a very difficult subject, nearly, if not quite, unfit for a lecture.” Osborne Reynolds On the General Theory of Thermo-dynamics November 1883 0521850436pre.qxd 15/10/05 3:24 PM Page iii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: THERMAL-FLUID SCIENCES AN INTEGRATED APPROACH Stephen R. Turns The Pennsylvania State University 0521850436pre.qxd 15/10/05 3:24 PM Page iv Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: CAMBRIDGE UNIVERSITY PRESS Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo CAMBRIDGE UNIVERSITY PRESS 40 West 20th Street, New York, NY 10011–4211, USA www.cambridge.org Information on this title: © Stephen R. Turns 2006 This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published 2006 Printed in Hong Kong by Golden Cup Printing Co. Ltd. A catalog record for this publication is available from the British Library. Library of Congress Cataloging-in-Publication Data Pages 1157–1158 constitute a continuation of the copyright page. Turns, Stephen R. Thermal-fluid sciences : an integrated approach / Stephen R. Turns. p. cm. Includes bibliographical references and index. ISBN-13: 978-0-521-85043-8 (hardback : alk. paper) ISBN-10: 0-521-85043-6 (hardback : alk. paper) 1. Thermodynamics. 2. Gas flow. 3. Heat–Transmission. I. Title. QC311.T86 2005 536'.7–dc22 2005026545 ISBN-13 978 0 521 85043 8 hardback ISBN-10 0 521 85043 6 hardback Cambridge University Press has no responsibility for the persistence or accuracy of urls for external or third-party Internet websites referred to in this publication, and does not guarantee that any content on such websites is, or will remain, accurate or appropriate. 0521850436pre.qxd 15/10/05 3:24 PM Page v Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: This book is dedicated to Mike, Matt, Sara, and Bryan 0521850436pre.qxd 15/10/05 3:24 PM Page vi Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: 0521850436pre.qxd 15/10/05 3:25 PM Page vii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Contents S AMPLE S YLLABI . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxiii P REFACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxxiii A BOUT ...................................................... xxxvii ACKNOWLEDGMENTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxxix THE AUTHOR PART ONE: FUNDAMENTALS 1 Chapter 1 ● BEGINNINGS 2 LEARNING OBJECTIVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.1 WHAT ARE THE THERMAL-FLUID SCIENCES? . . . 4 1.2 SOME APPLICATIONS . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2a Fossil-Fueled Steam Power Plants . . . . . . . . . . . . . . . . . . . 6 1.2b Solar-Heated Buildings . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.2c Spark-Ignition Engines . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1.2d Jet Engines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.2e Biological Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.3 PHYSICAL FRAMEWORKS FOR ANALYSIS . . . . . . 17 1.3a Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 1.3b Control Volumes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 1.3c Integral versus Differential Analyses . . . . . . . . . . . . . . . . . 19 1.4 PREVIEW OF CONSERVATION PRINCIPLES . . . . . 21 1.4a Generalized Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . 21 1.4b Motivation to Study Properties . . . . . . . . . . . . . . . . . . . . . . 22 1.5 KEY CONCEPTS AND DEFINITIONS . . . . . . . . . . . . . 23 1.5a Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 1.5b States . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 page vii 0521850436pre.qxd 15/10/05 3:25 PM Page viii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: viii Contents 1.5c Processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 1.5d Cycles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 1.5e Equilibrium and the Quasi-Equilibrium Process . . . . . . . . . 27 1.5f Local Equilibrium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 1.6 SOME GENERAL CHARACTERISTICS OF REAL FLOWS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 1.7 DIMENSIONS AND UNITS . . . . . . . . . . . . . . . . . . . . . . 31 1.8 PROBLEM-SOLVING METHOD . . . . . . . . . . . . . . . . . 34 1.9 HOW TO USE THIS BOOK . . . . . . . . . . . . . . . . . . . . . . 34 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 KEY CONCEPTS & DEFINITIONS CHECKLIST . . . . . . . . . 36 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 QUESTIONS AND PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . 38 APPENDIX 1A: SPARK-IGNITION ENGINES . . . . . . . . . . . . 44 THERMODYNAMIC PROPERTIES, PROPERTY RELATIONSHIPS, AND PROCESSES 46 Chapter 2 ● LEARNING OBJECTIVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 2.1 KEY DEFINITIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 2.2 FREQUENTLY USED THERMODYNAMIC PROPERTIES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 Properties Related to the Equation of State . . . . . . . . . . . . 50 Mass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 Number of Moles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 Volume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 Density . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 Specific Volume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Pressure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Temperature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 Properties Related to the First Law and Calorific Equation of State . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 Internal Energy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 Enthalpy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 Specific Heats and Specific-Heat Ratio . . . . . . . . . . . . . . . 61 Properties Related to the Second Law . . . . . . . . . . . . . . . . 64 Entropy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 Gibbs Free Energy or Gibbs Function . . . . . . . . . . . . . . . . 65 Helmholtz Free Energy or Helmholtz Function . . . . . . . . . 65 2.3 CONCEPT OF STATE RELATIONSHIPS . . . . . . . . . . 66 2.3a State Principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 2.3b P–v–T Equations of State . . . . . . . . . . . . . . . . . . . . . . . . . . 66 2.3c Calorific Equations of State . . . . . . . . . . . . . . . . . . . . . . . . 66 2.2a 2.2b 2.2c 0521850436pre.qxd 15/10/05 3:25 PM Page ix Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Contents ix 2.3d Temperature–Entropy (Gibbs) Relationships . . . . . . . . . . . 67 2.4 IDEAL GASES AS PURE SUBSTANCES . . . . . . . . . . . 67 2.4a Ideal Gas Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 2.4b Ideal-Gas Equation of State . . . . . . . . . . . . . . . . . . . . . . . . 68 2.4c Processes in P–v–T Space . . . . . . . . . . . . . . . . . . . . . . . . . 71 2.4d Ideal-Gas Calorific Equations of State . . . . . . . . . . . . . . . . 74 2.4e Ideal-Gas Temperature–Entropy (Gibbs) Relationships . . . 80 2.4f Ideal-Gas Isentropic Process Relationships . . . . . . . . . . . . 83 2.4g Processes in T–s and P–v Space . . . . . . . . . . . . . . . . . . . . . 84 2.4h Polytropic Processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 2.5 NONIDEAL GAS PROPERTIES . . . . . . . . . . . . . . . . . . 90 2.5a State (P–v–T) Relationships . . . . . . . . . . . . . . . . . . . . . . . . 90 Tabulated Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 TUTORIAL 1—How to Interpolate . . . . . . . . . . . . . . . . . . . . . 94 Other Equations of State . . . . . . . . . . . . . . . . . . . . . . . . . . 96 Generalized Compressibility . . . . . . . . . . . . . . . . . . . . . . . 98 2.5b Calorific Relationships . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 2.5c Second-Law Relationships . . . . . . . . . . . . . . . . . . . . . . . . . 102 2.6 PURE SUBSTANCES INVOLVING LIQUID AND VAPOR PHASES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 State (P–v–T ) Relationships . . . . . . . . . . . . . . . . . . . . . . . 102 Phase Boundaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 A New Property—Quality . . . . . . . . . . . . . . . . . . . . . . . . . 105 Property Tables and Databases . . . . . . . . . . . . . . . . . . . . . 108 TUTORIAL 2—How to Use the NIST Software . . . . . . . . . . . 111 TUTORIAL 3—How to Define a Thermodynamic State . . . . . 115 T–v Diagrams . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 P–v Diagrams . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 Calorific and Second-Law Properties . . . . . . . . . . . . . . . . . 123 T–s Diagrams . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124 h–s Diagrams . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 2.7 LIQUID PROPERTY APPROXIMATIONS . . . . . . . . . 130 2.8 SOLIDS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 2.9 IDEAL-GAS MIXTURES . . . . . . . . . . . . . . . . . . . . . . . . 134 2.9a Specifying Mixture Composition . . . . . . . . . . . . . . . . . . . . 135 2.9b State (P–v–T ) Relationships for Mixtures . . . . . . . . . . . . . 135 2.9c Standardized Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 2.9d Calorific Relationships for Mixtures . . . . . . . . . . . . . . . . . 141 2.9e Second-Law Relationships for Mixtures . . . . . . . . . . . . . . . 141 2.10 SOME PROPERTIES OF REACTING MIXTURES . . 142 2.10a Enthalpy of Combustion . . . . . . . . . . . . . . . . . . . . . . . . . . 142 2.10b Heating Values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144 2.11 146 2.6a 2.6b TRANSPORT PROPERTIES . . . . . . . . . . . . . . . . . . . . . 0521850436pre.qxd 15/10/05 3:25 PM Page x Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: x Contents 2.11a Thermal Conductivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147 2.11b Viscosity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 KEY CONCEPTS & DEFINITIONS CHECKLIST . . . . . . . . . 150 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 NOMENCLATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 QUESTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 155 APPENDIX 2A: MOLECULAR INTERPRETATION OF ENTROPY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168 Chapter 3 ● CONSERVATION OF MASS 172 LEARNING OBJECTIVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174 3.1 HISTORICAL CONTEXT . . . . . . . . . . . . . . . . . . . . . . . 174 3.2 MASS CONSERVATION FOR A SYSTEM . . . . . . . . . . 175 3.3 MASS CONSERVATION FOR A CONTROL VOLUME 183 3.3a Velocity Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 Velocity Vector . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 Streamlines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184 Flow rates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184 Uniform Velocity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184 Distributed Velocity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185 Generalized Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191 3.3c Average Velocity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192 3.3d General View of Mass Conservation for Control Volumes . 195 3.3e Integral Control Volumes . . . . . . . . . . . . . . . . . . . . . . . . . . 196 Steady-State, Steady Flow . . . . . . . . . . . . . . . . . . . . . . . . . 196 Unsteady Flows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 200 Differential Control Volumes . . . . . . . . . . . . . . . . . . . . . . . 207 Steady-State, Steady Flow . . . . . . . . . . . . . . . . . . . . . . . . . 207 Unsteady Flows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212 TURBULENCE AND TIME-AVERAGED PROPERTIES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213 3.4a Mean and Fluctuating Quantities . . . . . . . . . . . . . . . . . . . . 213 3.4b Time-Averaged Mass Conservation . . . . . . . . . . . . . . . . . . 214 Integral Relationships . . . . . . . . . . . . . . . . . . . . . . . . . . . . 214 Differential Relations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 216 3.5 REACTING SYSTEMS . . . . . . . . . . . . . . . . . . . . . . . . . . 216 3.5a Atom Balances . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 217 3.5b Stoichiometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 224 KEY CONCEPTS & DEFINITIONS CHECKLIST . . . . . . . . . 225 3.3b 3.3f 3.4 0521850436pre.qxd 15/10/05 3:25 PM Page xi Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Contents xi REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 226 NOMENCLATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227 QUESTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 229 Chapter 4 ● ENERGY AND ENERGY TRANSFER 242 LEARNING OBJECTIVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243 OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 244 4.1 HISTORICAL CONTEXT . . . . . . . . . . . . . . . . . . . . . . . 244 4.2 SYSTEM AND CONTROL-VOLUME ENERGY . . . . . 244 4.2a Energy Associated with System or Control Volume as a Whole . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245 4.2b Energy Associated with Matter at a Microscopic Level . . . 247 4.3 ENERGY TRANSFER ACROSS BOUNDARIES . . . . . 247 4.3a Heat . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247 Semantics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 248 Work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 249 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 249 Types . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 250 4.4 SIGN CONVENTIONS AND UNITS . . . . . . . . . . . . . . . 265 4.5 RATE LAWS FOR HEAT TRANSFER . . . . . . . . . . . . . 272 4.5a Conduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 273 4.5b Convection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 277 4.5c Radiation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 294 KEY CONCEPTS & DEFINITIONS CHECKLIST . . . . . . . . . 295 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 296 NOMENCLATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 297 QUESTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 299 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 300 4.3b Chapter 5 ● CONSERVATION OF ENERGY 308 LEARNING OBJECTIVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309 OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 310 5.1 HISTORICAL CONTEXT . . . . . . . . . . . . . . . . . . . . . . . 310 5.2 ENERGY CONSERVATION FOR A SYSTEM . . . . . . . 311 5.2a General Integral Forms . . . . . . . . . . . . . . . . . . . . . . . . . . . 312 For an Incremental Change . . . . . . . . . . . . . . . . . . . . . . . . 312 For a Change in State . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313 At an Instant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 321 Reacting Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 326 5.2b 0521850436pre.qxd 15/10/05 3:25 PM Page xii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: xii Contents Constant-Pressure Combustion . . . . . . . . . . . . . . . . . . . . . 326 Constant-Volume Combustion . . . . . . . . . . . . . . . . . . . . . . 329 Special Forms for Conduction Analysis . . . . . . . . . . . . . . . 335 Integral (Macroscopic) Systems . . . . . . . . . . . . . . . . . . . . . 335 Surfaces and Interfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . 340 Differential (Microscopic) Systems . . . . . . . . . . . . . . . . . . . 341 Electric Circuit Analogy . . . . . . . . . . . . . . . . . . . . . . . . . . 350 ENERGY CONSERVATION FOR CONTROL VOLUMES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 355 5.3a Integral Control Volumes with Steady Flow . . . . . . . . . . . . 355 5.3b Road Map for Study . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 364 5.3c Special Form for Flows with Friction . . . . . . . . . . . . . . . . . 364 5.3d Integral Control Volumes with Unsteady Flow . . . . . . . . . . 366 5.3e Differential Control Volumes with Steady Flow . . . . . . . . . 370 One-Dimensional Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . 370 Two-Dimensional Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . 375 Differential Control Volumes with Unsteady Flow . . . . . . . 378 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 379 KEY CONCEPTS & DEFINITIONS CHECKLIST . . . . . . . . . 380 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 381 NOMENCLATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 382 QUESTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 384 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 385 5.2c 5.3 5.3f Chapter 6 ● CONSERVATION OF MOMENTUM 406 LEARNING OBJECTIVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 407 OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 408 6.1 HISTORICAL CONTEXT . . . . . . . . . . . . . . . . . . . . . . . 408 6.2 FORCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 409 6.2a Surface Forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 409 Pressure Forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 409 Viscous Forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 410 6.2b Body Forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 413 6.2c Other Forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 414 6.3 MOMENTUM CONSERVATION FOR RIGID SYSTEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 414 Fluid Statics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 415 Manometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 420 Forces on Submerged Surfaces . . . . . . . . . . . . . . . . . . . . . . 423 6.3b Buoyancy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 430 6.3c Rigid-Body Motion with Linear Acceleration . . . . . . . . . . . 432 6.4 MOMENTUM FLOWS . . . . . . . . . . . . . . . . . . . . . . . . . . 438 6.3a 0521850436pre.qxd 15/10/05 3:25 PM Page xiii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Contents 6.5 xiii LINEAR MOMENTUM CONSERVATION FOR CONTROL VOLUMES . . . . . . . . . . . . . . . . . . . . . . . . . . 443 6.5a Simplified General View . . . . . . . . . . . . . . . . . . . . . . . . . . 443 6.5b Integral Control Volumes with Steady Flow . . . . . . . . . . . . 444 6.5c Integral Control Volumes with Unsteady Flow . . . . . . . . . . 450 6.5d Differential Control Volumes . . . . . . . . . . . . . . . . . . . . . . . 453 Total (or Material) Derivative . . . . . . . . . . . . . . . . . . . . . . 455 Convective Acceleration . . . . . . . . . . . . . . . . . . . . . . . . . . . 456 The Navier–Stokes Equation . . . . . . . . . . . . . . . . . . . . . . . 457 TUTORIAL 4—WHAT IS CFD? . . . . . . . . . . . . . . . . . . . . . . . 460 6.6 MECHANICAL ENERGY EQUATION . . . . . . . . . . . . . 471 6.7 THE BERNOULLI EQUATION . . . . . . . . . . . . . . . . . . . 475 6.8 TURBULENCE REVISITED . . . . . . . . . . . . . . . . . . . . . 477 6.8a Integral Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 478 6.8b Differential Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 478 Reynolds Averaging and Turbulent Stresses . . . . . . . . . . . . 478 The Closure Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 480 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 480 KEY CONCEPTS & DEFINITIONS CHECKLIST . . . . . . . . . 482 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 483 NOMENCLATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 484 QUESTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 486 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 487 APPENDIX 6A: LINEAR MOMENTUM CONSERVATION FOR CONTROL VOLUMES IN NONINERTIAL COORDINATE SYSTEMS . . . . . . . . . . . . . . . . . . . . . . . 509 SECOND LAW OF THERMODYNAMICS AND SOME OF ITS CONSEQUENCES 512 Chapter 7 ● LEARNING OBJECTIVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 513 OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 514 7.1 HISTORICAL CONTEXT . . . . . . . . . . . . . . . . . . . . . . . 514 7.2 USEFULNESS OF THE SECOND LAW . . . . . . . . . . . . 515 7.3 ONE FUNDAMENTAL STATEMENT OF THE SECOND LAW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 515 7.3a Reservoirs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 517 7.3b Heat Engines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 518 7.3c Thermal Efficiency and Coefficients of Performance . . . . . 521 7.3d Reversibility . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 524 7.4 CONSEQUENCES OF THE KELVIN–PLANCK STATEMENT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 526 7.4a Kelvin’s Absolute Temperature Scale . . . . . . . . . . . . . . . . . 528 7.4b The Carnot Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . . . . 529 0521850436pre.qxd 15/10/05 3:25 PM Page xiv Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: xiv Contents 7.4c Some Reversible Cycles . . . . . . . . . . . . . . . . . . . . . . . . . . . 531 Carnot Cycle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 531 Stirling Cycle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 532 ALTERNATIVE STATEMENTS OF THE SECOND LAW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 533 7.6 ENTROPY REVISITED . . . . . . . . . . . . . . . . . . . . . . . . . 535 7.6a Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 535 7.6b Connecting Entropy to the Second Law . . . . . . . . . . . . . . . 536 7.6c Entropy Balances . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 541 Systems Undergoing a Change of State . . . . . . . . . . . . . . . 541 Control Volumes with a Single Inlet and Outlet . . . . . . . . . 541 7.6d Criterion for Spontaneous Change . . . . . . . . . . . . . . . . . . . 542 7.6e Isentropic Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 545 7.6f Entropy Production, Head Loss, and Isentropic Efficiency . 550 7.7 THE SECOND LAW AND EQUILIBRIUM . . . . . . . . . 553 7.7a Chemical Equilibrium . . . . . . . . . . . . . . . . . . . . . . . . . . . . 554 Conditions of Fixed Internal Energy and Volume . . . . . . . . 554 Conditions of Fixed Temperature and Pressure . . . . . . . . . 555 Multiple Equilibrium Reactions . . . . . . . . . . . . . . . . . . . . . 563 Phase Equilibrium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 563 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 565 KEY CONCEPTS & DEFINITIONS CHECKLIST . . . . . . . . . 566 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 567 NOMENCLATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 568 QUESTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 570 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 571 7.5 7.7b SIMILITUDE AND DIMENSIONLESS PARAMETERS 582 Chapter 8 ● LEARNING OBJECTIVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 583 OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 584 8.1 HISTORICAL CONTEXT . . . . . . . . . . . . . . . . . . . . . . . 584 8.2 THE LIMITS OF THEORY . . . . . . . . . . . . . . . . . . . . . . 585 8.3 PARAMETRIC TESTING . . . . . . . . . . . . . . . . . . . . . . . 586 8.4 SIMILITUDE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 588 8.5 DIMENSIONLESS PARAMETERS . . . . . . . . . . . . . . . . 591 8.5a Origins . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 591 8.5b Dimensionless Governing Equations . . . . . . . . . . . . . . . . . 592 Dimensional Forms of the Boundary-Layer Equations . . . . 592 Characteristic Scales or Values . . . . . . . . . . . . . . . . . . . . . 594 Making the Equations Dimensionless . . . . . . . . . . . . . . . . . 596 Reynolds, Peclet, and Prandtl Numbers . . . . . . . . . . . . . . . 597 Friction Coefficient and Nusselt Number . . . . . . . . . . . . . . 601 0521850436pre.qxd 15/10/05 3:25 PM Page xv Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Contents 8.5c PART two: xv Other Dimensionless Parameters . . . . . . . . . . . . . . . . . . . . 604 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 607 KEY CONCEPTS & DEFINITIONS CHECKLIST . . . . . . . . . 608 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 609 NOMENCLATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 610 QUESTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 611 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 611 APPENDIX 8A: THE BUCKINGHAM (VASCHY) PI THEOREM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 618 BEYOND THE FUNDAMENTALS 627 ● EXTERNAL FLOWS: FRICTION, DRAG, AND HEAT TRANSFER 628 Chapter 9 LEARNING OBJECTIVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 629 OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 630 9.1 HISTORICAL CONTEXT . . . . . . . . . . . . . . . . . . . . . . . 630 9.2 BASIC EXTERNAL FLOW PATTERNS . . . . . . . . . . . . 631 9.2a Boundary Layer Concept Revisited . . . . . . . . . . . . . . . . . . 632 9.2b Bluff Bodies, Separation, and Wakes . . . . . . . . . . . . . . . . . 633 9.3 FORCED LAMINAR FLOW—FLAT PLATE . . . . . . . . 635 9.3a Problem Statement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 635 9.3b Solving the Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 640 9.3c Exact (Similarity) Solution . . . . . . . . . . . . . . . . . . . . . . . . 640 Friction and Drag . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 640 Heat Transfer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 646 Reynolds Analogy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 649 9.3d Uniform Surface Heat Flux . . . . . . . . . . . . . . . . . . . . . . . . 651 9.3e Calculation Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 652 9.4 FORCED TURBULENT FLOW—FLAT PLATE . . . . . 655 9.4a Transition Criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 655 9.4b Velocity Profiles and Boundary-Layer Development . . . . . 656 9.4c Friction and Drag . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 657 9.4d Heat Transfer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 660 9.4e Uniform Surface Heat Flux . . . . . . . . . . . . . . . . . . . . . . . . 661 9.5 FORCED FLOW—OTHER GEOMETRIES . . . . . . . . . 665 9.5a Friction and Form Drag . . . . . . . . . . . . . . . . . . . . . . . . . . . 666 9.5b Empirical Correlations for Drag and Heat Transfer . . . . . . 668 Cylinders and Other 2-D Shapes . . . . . . . . . . . . . . . . . . . . 668 Spheres and Other 3-D Shapes . . . . . . . . . . . . . . . . . . . . . 679 9.6 FREE CONVECTION . . . . . . . . . . . . . . . . . . . . . . . . . . 683 9.6a Vertical, Flat Plate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 684 0521850436pre.qxd 15/10/05 3:25 PM Page xvi Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: xvi Contents Physical Description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 684 Mathematical Description . . . . . . . . . . . . . . . . . . . . . . . . . 686 Dimensionless Parameters . . . . . . . . . . . . . . . . . . . . . . . . . 687 Solutions and Correlations . . . . . . . . . . . . . . . . . . . . . . . . . 690 Turbulence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 690 Other Geometries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 694 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 702 KEY CONCEPTS & DEFINITIONS CHECKLIST . . . . . . . . . 703 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 704 NOMENCLATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 706 QUESTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 708 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 709 APPENDIX 9A: BOUNDARY-LAYER EQUATIONS . . . . . . . 720 APPENDIX 9B: BOUNDARY-LAYER INTEGRAL ANALYSIS 723 9.6b INTERNAL FLOWS: FRICTION, PRESSURE DROP, AND HEAT TRANSFER 728 Chapter 10 ● LEARNING OBJECTIVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 729 OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 730 10.1 HISTORICAL CONTEXT . . . . . . . . . . . . . . . . . . . . . . . . 730 10.2 THE BIG PICTURE—INTEGRAL ANALYSES . . . . . . . 731 10.2a Assumptions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 731 10.2b Mass Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 732 10.2c Momentum Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . 733 Pressure Drop and Wall Shear Stress . . . . . . . . . . . . . . . . . . 733 Friction Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 735 10.2d Mechanical Energy Conservation . . . . . . . . . . . . . . . . . . . . . 735 10.2e Energy Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 736 Nominally Isothermal Flow . . . . . . . . . . . . . . . . . . . . . . . . . 736 Nonisothermal Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 737 DETAILS—FULLY DEVELOPED LAMINAR FLOWS 746 10.3 10.3a Laminar Flow Criterion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 746 10.3b Differential Conservation Equations . . . . . . . . . . . . . . . . . . . 746 10.3c Hydrodynamic Problem Solution . . . . . . . . . . . . . . . . . . . . . 747 Velocity Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 747 Average Velocity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 749 Wall Shear Stress . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 749 Pressure Drop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 749 Head Loss . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 752 Friction Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 752 10.3d Thermal Problem Solution . . . . . . . . . . . . . . . . . . . . . . . . . . 755 0521850436pre.qxd 15/10/05 3:25 PM Page xvii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Contents xvii Temperature Distributions . . . . . . . . . . . . . . . . . . . . . . . . . 755 Heat-Transfer Coefficient: Uniform Heat Flux . . . . . . . . . . 757 Heat-Transfer Coefficient: Fixed Wall Temperature . . . . . . 757 DETAILS—FULLY DEVELOPED TURBULENT FLOWS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 759 10.4a Velocity Distributions and Wall Friction . . . . . . . . . . . . . . . 759 A Theoretical Framework . . . . . . . . . . . . . . . . . . . . . . . . . . 759 Experimental Measurements . . . . . . . . . . . . . . . . . . . . . . . 762 Average Velocity and Friction Factor . . . . . . . . . . . . . . . . . 763 Rough Tubes and Pipes . . . . . . . . . . . . . . . . . . . . . . . . . . . 768 10.4b Heat-Transfer Relationships . . . . . . . . . . . . . . . . . . . . . . . . 772 10.5 DEVELOPING FLOWS . . . . . . . . . . . . . . . . . . . . . . . . . 782 10.5a Hydrodynamic Entry Region . . . . . . . . . . . . . . . . . . . . . . . 782 Hydrodynamic Entrance Length . . . . . . . . . . . . . . . . . . . . . 782 Increased Pressure Drop . . . . . . . . . . . . . . . . . . . . . . . . . . 783 10.5b Thermal Entry Region . . . . . . . . . . . . . . . . . . . . . . . . . . . . 786 Thermal Entrance Length . . . . . . . . . . . . . . . . . . . . . . . . . 786 Local Heat-Transfer Coefficients . . . . . . . . . . . . . . . . . . . . 787 Average Heat-Transfer Coefficients . . . . . . . . . . . . . . . . . . 787 DUCTS OF NONCIRCULAR CROSS SECTION . . . . . 795 10.6a Hydraulic Diameter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 795 10.6b Laminar Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 795 10.6c Turbulent Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 795 10.7 MINOR LOSSES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 796 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 798 KEY CONCEPTS & DEFINITIONS CHECKLIST . . . . . . . . . 799 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 800 NOMENCLATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 801 QUESTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 803 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 804 APPENDIX 10A: SIMPLIFYING THE GOVERNING EQUATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 817 10.4 10.6 THERMAL-FLUID ANALYSIS OF STEADY-FLOW DEVICES 820 Chapter 11 ● LEARNING OBJECTIVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 821 OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 822 11.1 STEADY-FLOW DEVICES . . . . . . . . . . . . . . . . . . . . . . 822 11.2 NOZZLES AND DIFFUSERS . . . . . . . . . . . . . . . . . . . . . 822 11.2a General Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 824 Mass Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 824 Energy Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 827 Linear Momentum Conservation . . . . . . . . . . . . . . . . . . . . 831 0521850436pre.qxd 15/10/05 3:25 PM Page xviii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: xviii Contents 11.2b Flow Separation and Diffuser Performance . . . . . . . . . . . . 832 11.2c Incompressible Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 837 11.2d Compressible Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 838 A Few New Concepts and Definitions . . . . . . . . . . . . . . . . . 838 Mach Number–Based Conservation Principles and Property Relationships . . . . . . . . . . . . . . . . . . . . . . . . . . . . 844 Converging and Converging–Diverging Nozzles . . . . . . . . 848 Nozzle Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 857 THROTTLES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 860 11.3a Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 860 Mass Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 860 Energy Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 860 Mechanical Energy Conservation . . . . . . . . . . . . . . . . . . . 861 11.3b Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 862 11.4 PUMPS, COMPRESSORS, AND FANS . . . . . . . . . . . . . 865 11.4a Classifications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 866 11.4b Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 867 Control Volume Choice . . . . . . . . . . . . . . . . . . . . . . . . . . . 867 Application of Conservation Principles . . . . . . . . . . . . . . . 868 Efficiencies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 871 TURBINES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 881 11.5a Classifications and Applications . . . . . . . . . . . . . . . . . . . . . 881 11.5b Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 884 11.6 HEAT EXCHANGERS . . . . . . . . . . . . . . . . . . . . . . . . . . 892 11.6a Classifications and Applications . . . . . . . . . . . . . . . . . . . . . 892 11.6b Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 894 Application of Conservation Principles . . . . . . . . . . . . . . . 894 Overall Heat-Transfer Coefficient . . . . . . . . . . . . . . . . . . . 901 Log-Mean Temperature Difference Method . . . . . . . . . . . . 906 Effectiveness—NTU Method . . . . . . . . . . . . . . . . . . . . . . . 917 FURNACES, BOILERS, AND COMBUSTORS . . . . . . 923 11.7a Some Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 923 11.7b Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 924 Assumptions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 925 Mass Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 925 Energy Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 925 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 926 KEY CONCEPTS & DEFINITIONS CHECKLIST . . . . . . . . . 927 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 928 NOMENCLATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 929 QUESTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 931 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 932 11.3 11.5 11.7 0521850436pre.qxd 15/10/05 3:25 PM Page xix Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Contents xix SYSTEMS FOR POWER PRODUCTION, PROPULSION, AND HEATING AND COOLING 948 Chapter 12 ● LEARNING OBJECTIVES . . . . . . . . . . . . . . . . . . . . . . . . . . . . 949 OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 950 12.1 FOSSIL-FUELED STEAM POWER PLANTS . . . . . . . 950 12.1a Rankine Cycle Revisited . . . . . . . . . . . . . . . . . . . . . . . . . . 952 12.1b Rankine Cycle with Superheat and Reheat . . . . . . . . . . . . . 958 Superheat . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 958 Reheat . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 967 12.1c Rankine Cycle with Regeneration . . . . . . . . . . . . . . . . . . . 968 Mass Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 969 Energy Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 970 12.1d Energy Input from Combustion . . . . . . . . . . . . . . . . . . . . . 972 12.1e Overall Energy Utilization . . . . . . . . . . . . . . . . . . . . . . . . . 978 12.2 JET ENGINES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 980 12.2a Basic Operation of a Turbojet Engine . . . . . . . . . . . . . . . . 980 12.2b Integral Control Volume Analysis of a Turbojet . . . . . . . . . 981 Assumptions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 982 Mass Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 982 Energy Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 982 Momentum Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . 985 12.2c Turbojet Cycle Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 986 Given Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 986 Assumptions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 986 Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 986 12.2d Propulsive Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 989 12.2e Other Performance Measures . . . . . . . . . . . . . . . . . . . . . . . 990 12.2f Combustor Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 994 Assumptions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 995 Mass Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 995 Energy Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 996 GAS-TURBINE ENGINES . . . . . . . . . . . . . . . . . . . . . . . 1000 12.3a Integral Control Volume Analysis . . . . . . . . . . . . . . . . . . . . 1001 Assumptions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1001 Mass Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1002 Energy Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1002 12.3b Cycle Analysis and Performance Measures . . . . . . . . . . . . 1002 Air-Standard Brayton Cycle . . . . . . . . . . . . . . . . . . . . . . . . 1003 Air-Standard Thermal Efficiency . . . . . . . . . . . . . . . . . . . . 1003 Process Thermal Efficiency and Specific Fuel Consumption . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1005 Power and Size . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1005 REFRIGERATORS AND HEAT PUMPS . . . . . . . . . . . 1006 12.3 12.4 0521850436pre.qxd 15/10/05 3:25 PM Page xx Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: xx Contents 12.4a Energy Conservation for a Reversed Cycle . . . . . . . . . . . . 1007 12.4b Performance Measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1007 12.4c Vapor-Compression Refrigeration Cycle . . . . . . . . . . . . . . 1009 Cycle Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1010 Coefficients of Performance . . . . . . . . . . . . . . . . . . . . . . . . 1011 AIR CONDITIONING, HUMIDIFICATION, AND RELATED SYSTEMS . . . . . . . . . . . . . . . . . . . . . . 1017 12.5a Physical Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1018 12.5b General Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1021 Assumptions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1022 Mass Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1022 Energy Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1023 12.5c Some New Concepts and Definitions . . . . . . . . . . . . . . . . . 1023 Psychrometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1023 Thermodynamic Treatment of Water Vapor in Dry Air . . . . 1023 Humidity Ratio . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1024 Relative Humidity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1025 Dew Point . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1026 12.5d Recast Conservation Equations . . . . . . . . . . . . . . . . . . . . . 1029 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . KEY CONCEPTS & DEFINITIONS CHECKLIST . . . . . . . . . REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . NOMENCLATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . QUESTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . APPENDIX 12A: TURBOJET ENGINE ANALYSIS REVISITED . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1036 1037 1038 1039 1041 1041 12.5 APPENDIX A 1064 TIMELINE 1067 APPENDIX B THERMODYNAMIC PROPERTIES OF IDEAL GASES AND CARBON 1072 Table B.1 CO . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1073 Table B.2 CO2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1074 Table B.3 H2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1075 Table B.4 H . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1076 Table B.5 OH . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1077 Table B.6 H2O . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1078 Table B.7 N2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1079 Table B.8 N . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1080 Table B.9 NO . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1081 Table B.10 NO2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1082 Table B.11 O2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1083 Table B.12 O . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1084 0521850436pre.qxd 15/10/05 3:25 PM Page xxi Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Contents xxi Table B.13 C(s) (Graphite) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1085 Table B.14 Curve-Fit Coefficients . . . . . . . . . . . . . . . . . . . . . . . . . 1086 APPENDIX C THERMODYNAMIC AND THERMO-PHYSICAL PROPERTIES OF AIR 1087 Table C.1 Approximate Composition, Apparent Molecular Weight, and Gas Constant for Dry Air . . . . . . . . . . . . . . . . . . . . . . . . 1087 Table C.2 Thermodynamic Properties of Air at 1 atm . . . . . . . . . . 1087 Table C.3 Thermo-Physical Properties of Air . . . . . . . . . . . . . . . . 1090 APPENDIX D THERMODYNAMIC PROPERTIES OF H2O 1092 Table D.1 Saturation Properties of Water and Steam—Temperature Increments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1092 Table D.2 Saturation Properties of Water and Steam—Pressure Increments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1094 Table D.3 Superheated Vapor (Steam) . . . . . . . . . . . . . . . . . . . . . . 1097 Table D.4 Compressed Liquid (Water) . . . . . . . . . . . . . . . . . . . . . 1109 Table D.5 Vapor Properties: Saturated Solid (Ice)–Vapor . . . . . . . . 1112 APPENDIX E VARIOUS THERMODYNAMIC DATA 1113 Table E.1 Critical Constants and Specific Heats for Selected Gases 1113 Table E.2 Van der Waals Constants for Selected Gases . . . . . . . . . 1113 APPENDIX F THERMO-PHYSICAL PROPERTIES OF SELECTED GASES AT 1 ATM 1114 Table F.1 Thermo-Physical Properties of Selected Gases (1 atm) 1114 APPENDIX G THERMO-PHYSICAL PROPERTIES OF SELECTED LIQUIDS 1120 Table G.1 Thermo-Physical Properties of Saturated Water . . . . . . . 1121 Table G.2A Thermo-Physical Properties of Various Saturated Liquids 1124 APPENDIX H THERMO-PHYSICAL PROPERTIES OF HYDROCARBON FUELS 1126 Table H.1 Selected Properties of Hydrocarbon Fuels . . . . . . . . . . . 1127 Table H.2 Curve-Fit Coefficients for Fuel Specific Heat and Enthalpy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1128 Table H.3 Curve-Fit Coefficients for Fuel Vapor Thermal Conductivity, Viscosity, and Specific Heat . . . . . . . . . . . . . . 1129 0521850436pre.qxd 15/10/05 3:25 PM Page xxii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: xxii Contents APPENDIX I THERMO-PHYSICAL PROPERTIES OF SELECTED SOLIDS 1130 Table I.1 Thermo-Physical Properties of Selected Metallic Solids 1131 Table I.2 Thermo-Physical Properties of Selected Nonmetallic Solids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1136 Table I.3 Thermo-Physical Properties of Common Materials . . . . . 1138 Table I.4 Thermo-Physical Properties of Structural Building Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1140 Table I.5 Thermo-Physical Properties of Industrial Insulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1142 APPENDIX J RADIATION PROPERTIES OF SELECTED MATERIALS AND SUBSTANCES 1144 Table J.1 Total, Normal (n), or Hemispherical (h) Emissivity of Selected Surfaces: Metallic Solids and Their Oxides . . . . . . 1144 Table J.2 Total, Normal (n), or Hemispherical (h) Emissivity of Selected Surfaces: Nonmetallic Substances . . . . . . . . . . . . . 1145 APPENDIX K MACH NUMBER RELATIONSHIPS FOR COMPRESSIBLE FLOW 1146 Table K.1 One-Dimensional, Isentropic, Variable-Area Flow of Air with Constant Properties ( 1.4) . . . . . . . . . . . . . . 1146 Table K.2 One-Dimensional Normal-Shock Functions for Air with Constant Properties ( 1.4) . . . . . . . . . . . . . . . . . . . . 1147 ANSWERS TO SELECTED PROBLEMS 1149 ILLUSTRATION CREDITS 1157 INDEX 1159 0521850436pre.qxd 15/10/05 3:25 PM Page xxiii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Sample Syllabi Sample Syllabus—One-Semester Survey Course* Period, Topic(s) followed by Textbook Reference 1 Preliminaries & course introduction ➤ 1.1 Introductory Topics & Groundwork 2 Thermal-science applications, systems & control volumes ➤ 1.2–1.3 3 General conservation principles & key concepts ➤ 1.4 4 Properties, states, processes, cycles, & equilibrium concepts ➤ 1.5 5 Real flows, dimensions & units, problem-solving method ➤ 1.6–1.8 Thermodynamic Properties & Equations of State 6 Common properties related to 1st law & equation of state ➤ 2.1–2.2a 7 State principle, ideal-gas equation of state, P–v–T space ➤ 2.3, 2.4a–2.4c 8 Multiphase substances: phase boundaries, x, tables, & NIST software ➤ 2.6 9 Multiphase substances (continued) ➤ 2.6 Conservation of Mass 10 Conservation of mass: systems & control volumes, flow rates ➤ 3.1–3.3c 11 Conservation of mass: control volumes, steady state, steady flow ➤ 3.3d–3.3e Calorific Properties & Calorific Equations of State 12 Internal energy, enthalpy, & specific heats ➤ 2.3b 13 Calorific equation of state: ideal gases ➤ 2.4d Groundwork for Energy Conservation 14 Energy: macroscopic & microscopic ➤ 4.1–4.2 15 Identifying heat & work interactions ➤ 4.3–4.4 * A semester of forty-five class periods is assumed with two periods used for examinations or other activities. page xxiii 0521850436pre.qxd 15/10/05 3:25 PM Page xxiv Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: xxiv Sample Syllabi 16 Identifying heat & work interactions (continued) ➤ 4.3–4.4 A Closer Look at Heat Transfer 17 Heat transfer modes: conduction & convection ➤ 4.5a–4.5b 18 Heat transfer modes: radiation ➤ 4.5c Energy Conservation—Thermodynamic Systems 19 Energy conservation for a system & applications ➤ 5.1a–5.2a 20 Energy conservation for a system & applications (continued) ➤ 5.2a Application of Energy Conservation to Conduction Heat Transfer 21 Conduction analysis: integral (lumped) formulations ➤ 5.2c 22 1-D conduction (planar) & electrical analog ➤ 5.2c 23 1-D conduction (cylindrical) & electrical analog ➤ 5.2c Energy Conservation—Control Volumes 24 Energy conservation for a control volume ➤ 5.3a–5.3b 25 Steady-flow processes & devices ➤ 5.3a–5.3b, 11.1 Second Law of Thermodynamics & Related Topics 26 2nd law: statement, consequences, & prerequisite concepts ➤ 7.1–7.4a 27 Carnot efficiency, reversibility, & entropy ➤ 7.4b–7.6b 28 2nd-law property relationships ➤ 2.2c, 2.3d, 2.4e–2.4h 29 Isentropic efficiency ➤ 7.6e Conservation of Momentum & Fluid Statics 30 Conservation of linear momentum—forces ➤ 6.1–6.2 31 Conservation of linear momentum—fluid statics ➤ 6.3a 32 Fluid statics: manometry & forces on submerged surfaces ➤ 6.3a Momentum Conservation—Control Volumes 33 Momentum flows & conservation of linear momentum: integral CVs ➤ 6.4 34 Momentum flows & conservation of linear momentum: integral CVs ➤ 6.5a–6.5b 35 Mechanical energy equation, Bernoulli equation ➤ 6.6–6.7 Similitude & Dimensionless Parameters 36 Similitude & dimensionless parameters ➤ 8.1–8.5 Conservation Principles Applied to Internal & External Flows 37 External flows: friction and heat transfer; basic flow patterns & physics ➤ 9.1–9.2 38 Forced flows—flat plate ➤ 9.3–9.4 39 Forced flows—other geometries ➤ 9.5 40 Internal flows: friction & heat transfer; integral analyses ➤ 10.2a–10.2d 41 Internal flows: friction & heat transfer; integral analyses (continued) ➤ 10.2e 42 Fully developed laminar flows ➤ 10.3 43 Fully developed turbulent flows ➤ 10.4 0521850436pre.qxd 15/10/05 3:25 PM Page xxv Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Sample Syllabi Sample Syllabus—Thermal-Fluid Sciences I* Period, Topic(s) followed by Textbook Reference 1 Preliminaries & course introduction ➤ 1.1–1.2 Introductory Topics & Groundwork 2 Physical frameworks & introduction to conservation principles ➤ 1.3–1.4 3 Key concepts & definitions ➤ 1.5 4 Key concepts & definitions (continued) ➤ 1.5 5 Real flows, dimensions & units, problem-solving method ➤ 1.6–1.9 Thermodynamic Properties 6 Motivation for study of properties, common thermodynamic properties ➤ 2.1–2.2 7 Properties related to first & second laws of thermodynamics ➤ 2.1–2.2 8 State principle, state relationships, ideal-gas state relationships ➤ 2.3, 2.4a–2.4c 9 Calorific equation of state; P–v, T–v, u–T, h–T plots for ideal gases ➤ 2.4d, 2.4g 10 Nonideal gases: van der Waals equation of state & generalized compressibility ➤ 2.5 11 Multiphase substances: phase boundaries, quality, T–v diagrams ➤ 2.6a 12 Multiphase substances: tabular data, NIST database, log P–log v diagrams ➤ 2.6b 13 Compressed liquids & solids ➤ 2.7–2.8 Conservation of Mass 14 Conservation of mass: systems ➤ 3.1–3.2 15 Conservation of mass: flow rates & average velocities ➤ 3.3a–3.3c 16 Conservation of mass for integral control volumes: steady state & steady flow ➤ 3.3e 17 Conservation of mass for integral control volumes: unsteady flow ➤ 3.3e Groundwork for Energy Conservation 18 Energy storage, heat & work interactions at boundaries ➤ 4.1–4.3 19 Identifying heat & work interactions ➤ 4.3–4.4 A Closer Look at Heat Transfer 20 Rate laws for heat transfer: conduction & convection ➤ 4.5a–4.5b 21 Rate laws for heat transfer: radiation ➤ 4.5c Energy Conservation—Thermodynamic Systems 22 Energy conservation for a system: finite processes ➤ 5.1a–5.2a 23 Energy conservation for a system: at an instant ➤ 5.2a 24 Energy conservation for a system: examples & applications ➤ 5.2a Application of Energy Conservation to Conduction Heat transfer 25 Conduction heat transfer: Integral (lumped) analysis ➤ 5.2c * A semester of forty-five class periods is assumed with two periods used for examinations or other activities. xxv 0521850436pre.qxd 15/10/05 3:25 PM Page xxvi Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: xxvi Sample Syllabi 26 Conduction heat transfer: 1-D differential analysis & solutions ➤ 5.2c 27 Electric circuit analogy for conduction heat transfer ➤ 5.2c Energy Conservation—Control Volumes 28 Energy conservation for an integral control volume: Introduction ➤ 5.3a–5.3b 29 Steady-flow processes ➤ 5.3c, 11.1 30 Steady-flow devices: nozzles, diffusers, & throttles ➤ 11.2c, 11.3 31 Steady-flow devices: pumps, compressors, fans, & turbines ➤ 11.4, 11.5 32 Steady-flow devices: heat exchangers ➤ 11.6 (early portions) 33 Steam power plants revisited ➤ 1.2a, 12.1a Second Law of Thermodynamics 34 2nd law of thermodynamics: overview, Kelvin–Planck statement, consequences ➤ 7.1–7.3 35 Carnot cycle & Carnot efficiency, other 2nd-law statements ➤ 7.4–7.5 36 Definition of entropy, entropy-based statement of 2nd law, & entropy balances ➤ 7.6a–7.6c Second-Law Properties, Property Relationships, & Efficiencies 37 2nd-law property relationships ➤ 2.2c, 2.3d, 2.4e 38 T–s relationships for ideal gases, air tables, isentropic relationships ➤ 2.4e–2.4f 39 Isentropic & polytropic processes, T–s & P–v diagrams ➤ 2.4g–2.4h 40 Isentropic efficiencies ➤ 7.6e Steam Power Plant—Application of the 1st & 2nd Laws 41 Steam power plant: Rankine cycle ➤ 12.1a 42 Steam power plant: superheat & reheat ➤ 12.1b 43 Steam power plant: regeneration ➤ 12.1c Sample Syllabus—Thermal-Fluid Sciences II* Period, Topic(s) followed by Textbook Reference 1 Preliminaries & course introduction Review of Mass & Energy Conservation 2 Flow rates & mass conservation for control volumes ➤ 3.1–3.3e 3 Conservation of energy for systems & control volumes ➤ 5.1a–5.2a, 5.3a–5.3c Reacting Systems & Flows—Combustion Basics 4 Mass conservation: atom balances & stoichiometry ➤ 3.5a 5 Mass conservation: atom balances & stoichiometry (continued) ➤ 3.5b 6 Ideal-gas mixture properties: specifying composition ➤ 2.9a–2.9b * A semester of forty-five class periods is assumed with two periods used for examinations or other activities 0521850436pre.qxd 15/10/05 3:25 PM Page xxvii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Sample Syllabi 7 Ideal-gas mixture properties: standardized properties ➤ 2.9c–2.9e 8 Enthalpy of combustion & heating values ➤ 2.10 Reacting Systems & Flows—Conservation of Energy 9 Constant-pressure combustion: systems & control volumes ➤ 5.2b, 11.7 10 Constant-pressure combustion: systems & control volumes (continued) ➤ 5.2b, 11.7 11 Constant-volume combustion ➤ 5.2b Chemical Equilibrium 12 Introduction & relationship to entropy ➤ 7.6d, 7.7a 13 Conditions of fixed temperature & pressure, Gibbs function, & equilibrium constants ➤ 7.7a 14 Multiple equilibrium reactions ➤ 7.7a Refrigerators & Heat Pumps 15 Reversed cycles & coefficients of performance ➤ 12.4 16 Vapor-compression refrigeration cycle ➤ 12.4 17 Heat pumps ➤ 12.4 Air Conditioning, Humidification, & Related Systems 18 Physical systems & general analysis ➤ 12.5a–12.5b 19 Air–water vapor mixtures, dew point, & measures of humidity ➤ 12.5c 20 Applications ➤ 12.5d 21 Applications (continued) ➤ 12.5d Groundwork for Momentum Conservation 22 Forces in fluids, fluid statics, & buoyancy ➤ 6.1– 6.3 23 Manometry ➤ 6.3 24 Forces on submerged surfaces ➤ 6.3 25 Rigid-body motion ➤ 6.3 26 Momentum flows ➤ 6.4 Linear Momentum Conservation—Integral Control Volumes 27 Simplified general view; steady-flow formulations ➤ 6.5a–6.5b 28 Examples & applications ➤ 6.5b, 11.2a Linear Momentum Conservation—Differential Control Volumes 29 Application of mass & momentum conservation to differential control volumes ➤ 3.3f, 6.5d 30 Total derivative & convective acceleration ➤ 6.5d 31 The Navier–Stokes equation ➤ 6.5d Mechanical Energy & Bernoulli Equations 32 Mechanical energy & Bernoulli equations: origins ➤ 6.6–6.7 33 Mechanical energy & Bernoulli equations: applications ➤ 6.6–6.7 xxvii 0521850436pre.qxd 15/10/05 3:25 PM Page xxviii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: xxviii Sample Syllabi Nozzles & Diffusers—Application of Conservation Principles & Property Relations 34 General analysis ➤ 11.2a–11.2c 35 Compressible flow introduction ➤ 11.2d 36 Choked flow; converging–diverging nozzles ➤ 11.2d 37 Choked flow; converging–diverging nozzles (continued) ➤ 11.2d Turbojet Engines—Application of Fundamentals to a Complex System 38 Turbojet components & integral control volume analysis ➤ 12.2a–12.2b 39 Integral mass, energy, & momentum analyses (continued) ➤ 12.2a–12.2b 40 Air-standard turbojet cycle analysis & performance measures ➤ 12.2c–12.2d 41 Air-standard turbojet cycle analysis & performance measures (continued) ➤ 12.2c– 12.2d 42 Combustor analysis ➤ 12.2f 43 Combustor analysis (continued) ➤ 12.2f Sample Syllabus—Thermal-Fluid Sciences III* Period, Topic(s) followed by Textbook Reference 1 Preliminaries & course introduction Differential Forms of the Conservation Principles 2 Mass & energy conservation: differential forms ➤ 3.3f, 5.3e 3 Momentum conservation: differential form ➤ 6.4d Turbulence Review 4 Tubulent flows & Reynolds decomposition ➤ 1.6, 3.4a 5 Time-averaged integral & differential mass & momentum equations ➤ 3.4b, 6.8 Application of Dimensional Analysis to Thermal-Fluids Sciences 6 Parametric testing & similitude ➤ 8.1–8.4 7 Dimensionless parameters: origins & applications ➤ 8.5 8 Dimensionless parameters (continued) ➤ 8.5 Introduction to External Flows 9 Basic flow patterns & concept of boundary layers ➤ 9.1–9.2 Forced Laminar Flow over Flat Plates 10 Velocity & temperature profiles in boundary layers ➤ 9.3a–9.3b 11 Friction & drag solutions ➤ 9.3c 12 Friction & drag solutions (continued) ➤ 9.3c 13 Heat transfer solutions ➤ 9.3c–9.3e 14 Heat transfer solutions (continued) ➤ 9.3c–9.3e *A semester of forty-five class periods is assumed with two periods used for examinations or other activities. 0521850436pre.qxd 15/10/05 3:25 PM Page xxix Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Sample Syllabi Forced Turbulent Flow over Flat Plates 15 Laminar–turbulent transition & boundary-layer growth ➤ 9.4a–9.4b 16 Friction & drag ➤ 9.4c 17 Heat transfer ➤ 9.4d–9.4e Forced Flow over Cylinders, Spheres, & Other Geometries 18 Friction & form drag ➤ 9.5a 19 Empirical correlations for drag & heat transfer ➤ 9.5b 20 Applications & examples ➤ 9.1–9.5 Free Convection 21 Vertical flat plate—physical & mathematical description ➤ 9.6a 22 Vertical flat plate—dimensionless parameters, solutions, & correlations ➤ 9.6a 23 Other geometries, applications, & examples ➤ 9.6b Introduction to Internal Flows—Integral Analyses 24 Mass, momentum, & mechanical energy conservation ➤ 10.1–10.2c 25 Mass, momentum, & mechanical energy conservation (continued) ➤ 10.2d 26 Energy conservation: isothermal & nonisothermal flows with uniform heat flux ➤ 10.2e 27 Energy conservation: nonisothermal flows with uniform wall temperature ➤ 10.2e Fully Developed Laminar Flows 28 Laminar flow criterion, differential conservation equations, & solutions ➤ 10.3a–10.3b 29 Laminar velocity distribution: average velocity, wall shear stress, pressure drop ➤ 10.3c 30 Laminar velocity distribution: head loss & friction factor ➤ 10.3c 31 Temperature distributions: heat-transfer coefficients ➤ 10.3d 32 Applications & examples ➤ 10.1–10.3 Fully Developed Turbulent Flows 33 Velocity distributions & wall friction: theory & experiment ➤ 10.4a 34 Average velocity, friction factor, rough tubes, & pipes ➤ 10.4a 35 Heat-transfer relationships ➤ 10.4b Internal Flows—Additional Considerations 36 Developing flows, ducts of noncircular cross section, & minor losses ➤ 10.5–10.7 37 Developing flows, ducts of noncircular cross section, & minor losses (continued) ➤ 10.5–10.7 Applications to Heat Exchangers 38 Heat exchanger classifications & applications; integral analysis ➤ 11.6 39 Overall heat-transfer coefficient ➤ 11.6 40 Log-mean temperature difference method for heat exchanger design ➤ 11.6 41 NTU–effectiveness method for heat exchanger design & analysis ➤ 11.6 42 NTU–effectiveness method for heat exchanger design & analysis (continued) ➤ 11.6 43 Review and synthesis xxix 0521850436pre.qxd 15/10/05 3:25 PM Page xxx Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: xxx Sample Syllabi Sample Syllabus—Traditional One-Semester Thermodynamics Course* Period, Topic(s) followed by Textbook Reference 1 Preliminaries & course introduction ➤ 1.1–1.2 Introductory Topics & Groundwork 2 Physical frameworks & introduction to conservation principles ➤ 1.3–1.4 3 Key concepts & definitions ➤ 1.5 4 Key concepts & definitions (continued) ➤ 1.5 5 Real flows, dimensions & units, problem-solving method ➤ 1.6–1.9 Thermodynamic Properties & State Relationships 6 Motivation for study of properties, common thermodynamic properties ➤ 2.1–2.2 7 Properties related to first & second laws of thermodynamics ➤ 2.2 8 State principle, state relationships, ideal-gas state relationships ➤ 2.3–2.4 9 Calorific equation of state; P–v, T–v, u–T, h–T plots for ideal gases ➤ 2.4 10 Nonideal gases: van der Waals equation of state & generalized compressibility ➤ 2.5 11 Multiphase substances: phase boundaries, quality, T–v diagrams ➤ 2.6 12 Multiphase substances: tabular data, NIST database, log P–log v diagrams ➤ 2.6 13 Compressed liquids & solids ➤ 2.7–2.8 Conservation of Mass 14 Conservation of mass: systems; flow rates ➤ 3.1–3.3b 15 Conservation of mass: control volumes ➤ 3.3d–3.3e Groundwork for Energy Conservation 16 Energy storage, heat & work interactions at boundaries ➤ 4.1–4.3 17 Identifying heat & work interactions ➤ 4.3 Energy Conservation—Thermodynamic Systems 18 Energy conservation for a system: finite processes ➤ 5.1–5.2a 19 Energy conservation for a system: at an instant ➤ 5.2a 20 Energy conservation for a system: examples & applications ➤ 5.2a Energy Conservation—Control Volumes & Some Applications 21 Energy conservation for a control volume: introduction ➤ 5.3a–5.3b 22 Steady-flow processes & devices ➤ 5.3a, 11.1–11.2a 23 Steady-flow devices: nozzles, diffusers, & throttles ➤ 11.2c, 11.3 24 Steady-flow devices: pumps, compressors, fans, & turbines ➤ 11.4–11.5 25 Steady-flow devices: heat exchangers ➤ 11.6 26 Steam power plants & jet engines revisited ➤ 1.2a, 1.2d, 12.1a, 12.2a * A semester of forty-five class periods is assumed with three periods used for examinations or other activities. 0521850436pre.qxd 15/10/05 3:25 PM Page xxxi Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Sample Syllabi Second Law of Thermodynamics 27 2nd law of thermodynamics: overview, Kelvin–Planck statement, consequences ➤ 7.1–7.4a 28 Carnot cycle & Carnot efficiency, definition of entropy ➤ 7.4b–7.6a 29 Entropy-based statement of 2nd law, entropy balances, other 2nd-law statements ➤ 7.6b–7.6c Second-Law Properties, Property Relationships, & Efficiencies 30 2nd-law property relationships ➤ 2.2c, 2.3d, 2.4e–2.4h 31 T–s relationships for ideal gases, air tables, isentropic relationships ➤ 2.4e–2.4h 32 Isentropic & polytropic processes, T–s & P–v diagrams ➤ 2.4e–2.4h 33 Isentropic efficiencies ➤ 7.6e, 11.4b, 11.5b Steam Power Plant—Application of the 1st & 2nd Laws 34 Steam power plant: Rankine cycle ➤ 12.1a 35 Steam power plant: superheat & reheat ➤ 12.1b 36 Steam power plant: regeneration ➤ 12.1c 37 Steam power plant (continued) ➤ 12.1 Turbojet Engine—Application of the 1st & 2nd Laws 38 Jet engines: overall integral control volume analysis ➤ 12.2a–12.2b 39 Turbojet engine cycle analysis ➤ 12.2c 40 Turbojet engine cycle analysis (continued) ➤ 12.2d–12.2e Other Applications of Thermodynamics & Conservation Principles 41 Selected topics ➤ Chapter 12 42 Selected topics ➤ Chapter 12 xxxi 0521850436pre.qxd 15/10/05 3:25 PM Page xxxii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: 0521850436pre.qxd 15/10/05 3:25 PM Page xxxiii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Preface THIS BOOK WAS CONCEIVED to address the needs of instructors desiring an integrated approach to teaching the thermal-fluid sciences. Traditionally, the thermal-fluid sciences are taught in a sequence of three or more separate courses treating individually the disciplines of thermodynamics, fluid mechanics, and heat transfer. Although this traditional grouping makes considerable sense, many engineering educators believe that a more effective and efficient treatment of these subjects can be achieved by integrating topics. The author hopes that this book will appeal to these educators. The following organizational principles undergird this book: ● ● ● The fundamental conservation principles of mass, energy, and momentum are used as the primary integrating device. Related topics are grouped together hierarchically. Many examples revisit a few particular practical devices or applications. As an understanding of these principles is important to the use of this book, some elaboration is helpful. The use of the fundamental conservation principles (mass, energy, and momentum) is a natural choice as an integrating device for the thermal-fluid sciences and should be a comfortable choice for many engineering educators. The conservation principles are introduced in Chapter 1 in two general forms: a form associated with a process occurring over a finite time interval and a form expressing the conservation principle at an instant. These general formulations are then elaborated for mass conservation in Chapter 3, for energy conservation in Chapter 5, and momentum conservation in Chapter 6. Entropy balances introduced in Chapter 7 also follow the same general formulation, although entropy is not conserved in the same sense as are mass, energy, and momentum. Showing that all conserved quantities obey a single simple accounting (in minus out plus generated equals stored) provides an even higher level of integration. Also, stressing that the many ways these conservation principles are expressed within various subject domains all have their origins in just three basic statements should help engineering students structure their knowledge in useful ways. In a sense, this helps to establish the conservation principles as bedrock in the hierarchy of engineering science. The second organizing principle, the hierarchical arrangement of subject matter, is perhaps best illustrated in Chapter 2. In this chapter, essentially all page xxxiii 0521850436pre.qxd 15/10/05 3:25 PM Page xxxiv Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: xxxiv Preface material related to thermodynamic and thermophysical properties is grouped together. In this way, we are able to show clearly the hierarchy of thermodynamic state relationships starting with the basic equation of state involving P, v, and T; adding first-law-based calorific equations of state involving u, h, P, T, and v; and ending with the second-law-based state relationships involving s, T, P, and v, for example. Such arrangement requires that Chapter 2 be revisited at appropriate places in the study of later chapters. In this sense, Chapter 2 is a resource that is to be returned to many times. Chapter 5 is another example of a hierarchical arrangement. Here the conservation of energy principle is applied to simple systems and then extended to the most complicated forms typically presented in undergraduate fluid mechanics and heat-transfer textbooks. For example, both simple conduction heat transfer and combustion are integrated within the context of conservation of energy. Therefore, Chapter 5, like Chapter 2, can be revisited and does not have to be studied from beginning to end. What purpose is served by such an arrangement? First, it provides an important structure for a beginning learner. Experts who have mastered and work within a discipline organize material this way in their minds, whereas novices tend to treat concepts in an undifferentiated way as a collection of seemingly unrelated topics.1 It is hoped that providing a useful hierarchy from the start may speed learning and aid in retention. A second reason for a hierarchical arrangement is flexibility. In general, the book has been designed to permit an instructor to select topics from within a chapter and combine them with material from other chapters in a relatively seamless manner. This flexibility allows the book to be used in many ways depending on the educational goals of a particular course or a sequence of courses. The several syllabi that follow the table of contents suggest some arrangements. The third device used to promote the integration of the thermal-fluid sciences is the selection of several topics that are revisited in various examples used throughout the book. Motivation for the particular topics chosen is elaborated in Chapter 1. With this philosophical understanding behind us, we now examine the specific structure of the book. The book is divided into two parts: Chapters 1–8 comprise the part designated as Fundamentals; Chapters 9–12 are denoted Beyond the Fundamentals. This division is a natural one in that all of the fundamental concepts are developed in Chapters 1–8, that is, property relationships in Chapter 2; the three conservation principles in Chapters 3, 5, and 6; the second law of thermodynamics in Chapter 7; and dimensional analysis in Chapter 8. Chapters 9–12 then see the application of these fundamentals to a variety of mechanical engineering topics. Chapter 9 treats external flows, combining the problems of friction and drag and heat transfer, topics usually treated separately in traditional fluid mechanics and heattransfer courses. In a similar way, internal flows are examined in Chapter 10. Both chapters emphasize conservation principles in both integral and differential form. Chapter 11 focuses on steady-flow devices. Portions of this chapter can and should be used earlier than their placement in a later chapter suggests. For example, entry points into Chapter 11 are indicated in Chapters 5, 6, and 7. Coverage of thermal-fluids systems is grouped in Chapter 12. Topics from this chapter can be selected to integrate many of the fundamental concepts developed in earlier chapters. For example, the section on jet 1 Larkin, J., McDermott, J., Simon, D. P., and Simon, H. A., “Expert and Novice Performance in Solving Physics Problems,” Science, 208: 1335–1342 (1980). 0521850436pre.qxd 15/10/05 3:25 PM Page xxxv Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Preface xxxv engines combines all three conservation principles. This section also utilizes advanced ways of dealing with properties and the first and second laws of thermodynamics when the air-standard cycle is modified to include a constant-pressure combustion process. In addition to structure, many other pedagogical devices are employed in this book. These include the following: ● ● ● ● ● ● ● An abundance of color photographs and images illustrate important concepts and emphasize practical applications; Each chapter begins with a list of learning objectives, a chapter overview, and a brief historical perspective, where appropriate, and concludes with a brief summary; Each chapter contains many examples that follow a standard problemsolving format; Self tests follow most examples; Key equations are denoted by colored backgrounds; Each chapter concludes with a checklist of key concepts and definitions linked to specific end-of-chapter questions and problems; The National Institute of Science and Technology (NIST) database for thermodynamic and transport properties (included in the NIST12 v.5.2 software provided with the book) is used extensively. All of these features are intended to enhance student motivation and learning and to make teaching easier for the instructor. For example, the many color photographs make connections to real-world devices, a strong motivator for undergraduate students. Also, the learning objectives and checklists are particularly useful. For the instructor, they aid in the selection of homework problems and the creation of quizzes and exams, or other instructional tools. For students, they can be used as self tests of comprehension and can monitor progress. The checklists also cite topic-specific questions and problems. In his use of the book, the author utilizes the learning objectives to guide reviews of the material prior to examinations. Having well-defined learning objectives is also useful in meeting engineering accreditation requirements. Many questions and problems are included at the end of each chapter. The purpose of the questions is to reinforce conceptual understanding of the material and to provide an outlet for students to articulate such understanding. Throughout the book, students are encouraged to use the National Institute of Science and Technology (NIST) databases to obtain thermodynamic and transport properties. The online NIST property database is easily accessible and is a powerful resource. It is a tool that will always be up to date. The NIST12 v.5.2 software included with this book has features not available online. This userfriendly software provides extensive property data for eighteen fluids and has an easy-to-use plotting capability. This invaluable resource makes dealing with properties easy and can be used to enhance student understanding. TO THE INSTRUCTOR Two specific uses of this book are envisioned: 1. as the primary textbook for a multisemester sequence of thermal-fluid science courses for mechanical engineering majors and 2. as a textbook for a one-semester survey course for engineering students in disciplines outside of mechanical engineering. (A similar one-semester survey course for mechanical engineering majors may also be useful in a modern curriculum.) Because of the inherent flexibility in 0521850436pre.qxd 15/10/05 3:25 PM Page xxxvi Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: xxxvi Preface the organization of the materials, this book can meet the needs of a course sequence, or a survey course, in a variety of ways. To assist in selecting topics, the text distinguishes three levels: level 1 (basic) material is unmarked, level 2 (intermediate) material appears with a blue background and a blue edge stripe, and level 3 (advanced) material is denoted with a light red background and a red edge stripe. Instructors can therefore choose from the numerous topics presented to create courses that meet their specific educational objectives. To show how this might be done, sample syllabi preceding this preface illustrate a three-semester sequence of courses and a one-semester survey course. Both of these examples emphasize topics traditionally included in thermodynamics courses, reflecting the author’s view on teaching the thermal-fluid sciences. A three-semester sequence was chosen to be compatible with the present trend in mechanical engineering curricula to limit the core thermal-fluid sciences to three 3-credit courses, or their equivalent. In fact, the repackaging of the thermal-fluids core from typically 12 to 9 credits was a strong motivator for the creation of this book. Also presented in the preceding is a syllabus showing how this book can be used for a traditional single-semester first course in thermodynamics. This syllabus is presented for two reasons: to illustrate the flexibility of the book in creating courses to meet specific needs and to provide an option for those instructors who might want to use the book in a traditional way before trying a more integrated approach. Feedback from instructors who use this book is most welcome. 0521850436pre.qxd 15/10/05 3:25 PM Page xxxvii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: About the Author Stephen R. Turns received degrees in mechanical engineering from The Pennsylvania State University (B.S.), Wayne State University (M.S.), and the University of Wisconsin-Madison (Ph.D.). From 1970 to 1975, he worked as a research engineer at General Motors Research Laboratories; for the past twenty-six years, he has been a member of the mechanical engineering faculty at The Pennsylvania State University. Turns teaches a wide range of courses in the thermal-fluids sciences and also conducts research in the area of combustion. At Penn State, Turns has received numerous teaching awards, including the University’s prestigious Milton S. Eisenhower Award for Distinguished Teaching. Turns is a member of The Combustion Institute, the American Society of Engineering Education, the American Society of Mechanical Engineers, and the Society of Automotive Engineers. He is also a program evaluator for the Accreditation Board for Engineering and Technology (ABET), serving in this capacity since 1994. Turns is the author of An Introduction to Combustion: Concepts & Applications, a textbook widely used in the United States and around the world. page xxxvii 0521850436pre.qxd 15/10/05 3:25 PM Page xxxviii Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: 0521850436pre.qxd 15/10/05 3:25 PM Page xxxix Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: Acknowledgments THIS BOOK HAS BEEN A LONG TIME COMING and many people have contributed along the way. First I would like to thank the many reviewers and students, too many to name here, all of whom contributed both mightily, and subtly. Without their candid comments and careful reading this project would not have been possible. I am indebted to Peter Gordon at Cambridge University Press for his vision of a richly illustrated and colorful book and the managers at the Press for supporting our shared vision. To this end, I am happy to acknowledge Rick Medvitz and Jared Ahern of the Applied Research Laboratory at Penn State for their creation of the many exciting computational fluid dynamics illustrations sprinkled throughout the text. Thanks also are owed to Joel Peltier and Eric Paterson at ARL for their support of the CFD effort. Regina Brooks and Anne Wells at Serendipity Literary Agency worked hard to find photographs, and the cooperation of AGE fotostock is gratefully acknowledged. Jessica Cepalak and Michelle Lin at Cambridge were indispensable in many ways throughout the project. The stunning book design was the effort of José Fonfrias. Thank you, José. Special thanks go to Chris Mordaunt for his creation of the self tests and his meticulous reading of the manuscript and insightful comments. Thanks also go to the members of the solutions manual team: Jacob Stenzler and Dave Kraige, leaders of the effort, and Justin Sabourin, Yoni Malchi, and Shankar Narayanan. For nearly a decade, Mary Newby deciphered my pencil scrawls to create a word-processed manuscript. I thank Mary for her invaluable efforts. I would like to acknowledge the production team at Cambridge—Alan Gold (Senior Production Controller) and Pauline Ireland (Director, Production and New Media Development)—who broke a great number of old rules to make a very new book. I especially want to thank Anoop Chaturvedi and his production team at TechBooks for their careful attention to detail. I also thank fellow textbook authors Dwight Look, Jr., and Harry Sauer, Jr.; Glen Myers; Alan Chapman; David Pnueli and Chaim Gutfinger; and Gertrude Shepherd, wife of deceased author Dennis Shepherd, for their permission to use selected problems from their works. Thanks also are owed to Eric Lemmon at NIST for assembling the software provided with this book and to Joan Sauerwein for making the agreement. page xxxix 0521850436pre.qxd 15/10/05 3:25 PM Page xl Quark01A Quark01:BOOKS:CU/CB Jobs:CB925-Turns:Chapters:TURNS-FM: xl Acknowledgments For the hospitality shown during a sabbatical year spent writing, I thank Allan Kirkpatrick and Charles Mitchell at Colorado State University and Taewoo Lee and Don Evans at Arizona State University. I would also like to thank good friends Kathy and Dan Wendland for opening their home to us for an extended stay in Fort Collins. Thanks also are extended to Nancy and Dave Pearson, more good friends, for their help and companionship in Tempe. The sales and marketing team at Cambridge are a joy to work with. Thanks go to Liza Murphy, Kerry Cahill, Liz Scarpelli, Robin Silverman, Ted Guerney, Catherine Friedl, and Valerie Yaw, along with their counterparts in the UK, Rohan Seery, Ben Ashcroft, Gurdeep Pannu, and Cherrill Richardson. I would also like to thank Jae Hong for his contributions to this project. Moral support has come from many fronts, especially from the crowd at Saints Cafe and from Bob Santoro. Three people, however, deserve my heartfelt thanks. The first is Peter Gordon at Cambridge. Peter came to the rescue in trying times and breathed new life into this project. Second is Dick Benson, friend and confidant. Without Dick’s enthusiastic support, this book would not have been possible. Third, but hardly last, is Joan, my wife. I cannot thank her enough for her help, patience, and support. Thank you, Joan.