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THERMAL DESIGN AND OPTIMIZATION Adrian Bejan Department of Mechanical Engineering and Material Science Duke University George Tsa t saro ni s Institut fur Energietechnik Technische Universitat Berlin Michael Maran Department of Mechanical Engineering The Ohio State University A WILEY-INTERSCIENCE PUBLICATION JOHN WILEY & SONS, INC. New York / Chichester / Brisbane / Toronto / Singapore A NOTE TO THE READER This book has been electronically reproduced from digital information stored at John Wiley & Sons, Inc. We are pleased that the use of this new technology will enable us to keep works of enduring scholarly value in print as long as there is a reasonable demand for them. The content of this book is identical to previous printings. This text is printed on acid-free paper. Copyright 0 1996 by John Wiley & Sons, Inc. All rights reserved. Published simultaneously in Canada. No part of' this publication may be reproduced, stored in a retrieval system or transmitted in any fomi or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1Y76 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 750-4470. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 11 1 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, E-Mail: [email protected]. To order books or for customer service please, call 1(800)-CALL-WILEY (225-5945). This publication is designed to provide accurate and authoritative information in regard to the subject matter covered. It is sold with the understanding that the publisher is not engaged in rendering professional services. If legal advice or other expert assistance is required, the services of a competent professional person should be sought. Library of Congress Cataloging in Publication Data: Bejan, Adrian, 1948- Thermal design and optimization I Adrian Bejan, George Tsatsaronis, Michael Moran. p. cm. Includes index. ISBN 0-471-58467-3 1. Heat engineering. I. Tsatsaronis, G. (George) 11. Moran, Michael J. 111. Title. TJ260.B433 1996 621,402-dc20 95-1 207 1 Printed in the United States of America IO 9 8 7 6 5 4 3 PREFACE This book provides a comprehensive and rigorous introduction to thermal system design and optimization from a contemporary perspective. The pre- sentation is intended for engineering students at the senior or first-year grad- uate level and for practicing engineers and technical managers working in the energy field. The book is appropriate for use in a capstone design course, in a technical elective course, and for self-study. Sufficient end-of-chapter prob- lems are provided for these uses. In class testing, the material has been found to work well with the intended audience. We assume readers have had introductory courses in engineering thermo- dynamics and heat transfer and are familiar with the basics of fluid mechanics. Some background in engineering economics is also desirable but not required. For readers with limited backgrounds in engineering thermodynamics, heat transfer, and engineering economics, reviews are provided in Chapters 2, 4, and 7, respectively. Our presentation does not provide a detailed discussion of component design or extensive operating and cost data. Information on these topics is available in various standard references, handbooks, imd man- ufacturers’ catalogs. Readers should refer to such sources as needed; we have provided extensive reference lists to facilitate this. The book has been written to allow flexibility in the use of units. It can be studied using 1nte:mational System (SI) units only or a mix of SI and English units. In the area of thermal systems, engineering curricula are largely component and design analysis oriented. Students initially learn to apply mass and energy balances and, increasingly, entropy and exergy balances. Then, on the basis of known engineering descriptions and specifications, students learn to cal- culate the size, performance, and cost of heat exchangers, turbines, pumps, and other components. These activities are important, but the scope of engi- neering design is much wider. Design is primarily system oriented and the objective is to effect a design solution: to devise a means for accomplishing a stated purpose subject to real-world constraints. Design requires synthesis: selecting and putting together components to form a smoothly working whole. Design also often requires that principles from different disciplines be applied V Vi PREFACE within a single problem, for example, principles from engineering thermo- dynamics and heat transfer. Moreover, design usually requires explicit con- sideration of engineering economics, for cost is almost invariably a key issue. Finally, design requires optimization techniques that are not typically en- countered elsewhere in the engineering curricula. Synthesis, engineering ec- onomics, and optimization are among several design topics discussed in this book. The current presentation departs from those of previous books on the sub- ject of thermal system design in three important respects: (1) A concerted effort has been made to include material drawn from the best of contemporary thinking about design and design methodology. Thus, Chapter 1 provides discussions of concurrent design, quality function deployment, and other con- temporary design ideas. (2) This book includes current developments in en- gineering thermodynamics, heat transfer, and engineering economics relevant to design. Many of these developments are based on the second law of ther- modynamics. In particular, we feature the use of exergy analysis and entropy generation minimization. We employ the term thermoeconomics to denote exergy-aided cost minimization. (3) A case study is considered throughout the book for continuity of the presentation. The case study involves the design of a cogeneration system. The presentation of design topics initiated in Chapter 1 continues in Chap- ter 2 with the development of a thermodynamic model for the case study cogeneration system and a discussion of piping system design. Chapter 3 provides a discussion of design guidelines evolving from reasoning using the second law of thermodynamics and, in particular, the exergy concept. Chapters 4, 5, and 6 all contain design-related material, including heat exchanger design. These presentations are intended to illuminate the design process by gradually introducing first-level design notions such as degrees of freedom, design constraints, and thermodynamic optimization. In these chap- ters the role of second-law reasoning in design is further emphasized. Ex- amples familiar from previous courses in thermodynamics and heat transfer are used to illustrate principles. Chapters 5 and 6 also illustrate the effective- ness of elementary modeling in design. Such modeling is often an important element of the concept development stage. Elementary models can highlight key design variables, the relations among them, and fundamental trade-offs. In some instances, such models can lead directly to design solutions, as for example in the case of electronic package cooling considered in Chapter 5. With Chapter 7 detailed engineering economic evaluations enter the pre- sentation explicitly and are featured in the remainder of the book. Chapter 8 presents a powerful and systematic design approach that combines the exergy concept of engineering thermodynamics with principles of engineering eco- nomics. Exergy costing methods are introduced and applied in this chapter. These methods identify the real cost sources at the component level: the capital investment costs, the operating and maintenance costs, and the PREFACE vii costs associated with the destruction and loss of exergy. The optimization of thermal systems is based on a careful consideration of these cost sources. Chapter 9 provides discussions of the pinch method for the design of heat exchanger networks and the iterative optimization of complex systems. Re- sults of the thermoeconomic optimization of the cogeneration system case study are also presented. This book has been developed to be flexible in use: to satisfy various instructor preferences, curricular objectives, course durations, and self-study needs. Some instructors will elect to present material in depth from all nine chapters. Shorter presentations are also possible. For example, courses might be built around Chapters 1-6 plus topics from Chapter 7, or formed from Chapters 1-3 plus Chapters 7-9. Some instructors may want to provide a highly-focused presentation by simply tracking the cogeneration system case study or another case study drawn from the references provided or the indi- vidual instructor’s professional experience. Other course arrangements are also possible, and instructors are encouraged to contact the authors directly concerning alternatives. The use of the second law of thermodynamics in thermal system design and optimization is still a novelty in U.S. industry, but not in Europe and elsewhere. This approach is featured here because an increasing number of engineers and engineering managers worldwide agree that it has considerable merit and are advocating its use. We offer it in an evolutionary spirit as a worthy alternative. Our aim is to contribute to the education of the next gen- eration of thermal system designers and to the background of currently active designers who feel the need for more effective design methods. We welcome constructive comments and criticism from readers. Such feedback is essential for the further development of the design approaches presented in this book. Several individuals have contributed to this book. A. Ozer Arnas and Gor- don M. Reistad reviewed the manuscript and provided several helpful sug- gestions. We appreciate their input. Additionally, we owe special thanks to faculty colleagues, staff and students at our respective institutions for their support and assistance: at Duke University, Kathy Vickers, Linda Hayes, Jose V. C. Vargas, Oana Craciunescu, and Gustavo Ledezma; at Tennessee Tech- nological University, Kenneth Purdy, David Price, Helen Haggard, Agnes Tsatsaronis, and the 126 student members of the thermal design class in the academic year 1993-19 94; at Technische Universitat Berlin, Yanzi Chen, Frank Cziesla, Andreas Krause, and Christine Gharz; and at The Ohio State University, Kenneth Waldron, Margaret Drake, and Carol Bird. ADRIAN BEJAN GEORGE TSATSARONIS MICHAEL MORAN June. 1995 CONTENTS 1 Introduction to Thermal System Design 1 1.1 Preliminaries I 2 1.2 Workable, Optimal, and Nearly Optimal Designs I 3 1.3 Life-Cycle Design I 6 1.3.1 Overview of the Design Process I 6 1.3.2 Understanding the Problem: “What?” not “How?” I 9 1.3.3 Project Management I 11 1.3.4 Project Documentation I 12 1.4 Thermal System Design Aspects / 15 1.4.1 Environmental Aspects I 16 1.4.2 Safety and Reliability I 17 1.4.3 Background Information and Data Sources I 19 1.4.4 Performance and Cost Data I 20 1.5 Concept Creation and Assessment I 21 1.5.1 Concept Generation: “How?” not “What?” I 21 1.5.2 Concept Screening I 22 1.5.3 Concept Development I 25 1.5.4 Sample Problem Base-Case Design I 29 1.6 Computer-Aided Thermal System Design I 3 1 1.6.1 Preliminaries I 31 1.6.2 Process Synthesis Software I 32 1.6.3 Analysis and Optimization: Flowsheeting Software / 32 1.7 Closure I 33 References I 34 Problems I 36 ix X CONTENTS 2 Thermodynamics, Modeling, and Design Analysis 39 2.1 Basic Concepts and Definitions / 39 2.1.1 Preliminaries / 40 2.1.2 The First Law of Thermodynamics, Energy / 42 2.1.3 The Second Law of Thermodynamics / 46 2.1.4 Entropy and Entropy Generation / 50 2.2 Control Volume Concepts / 55 2.2.1 Mass, Energy, and Entropy Balances / 55 2.2.2 Control Volumes at Steady State / 59 2.2.3 Ancillary Concepts / 60 2.3 Property Relations / 64 2.3.1 Basic Relations for Pure Substances / 64 2.3.2 Multicomponent Systems / 76 2.4 Reacting Mixtures and Combustion / 78 2.4.1 Combustion / 78 2.4.2 Enthalpy of Formation / 78 2.4.3 Absolute Entropy / 80 2.4.4 Ancillary Concepts / 81 2.5 Thermodynamic Model-Cogeneration System / 84 2.6 Modeling and Design of Piping Systems / 97 2.6.1 Design Considerations / 97 2.6.2 Estimation of Head Loss / 99 2.6.3 Piping System Design and Design Analysis / 102 2.6.4 Pump Selection / 105 2.7 Closure / 107 References / 108 Problems / 108 3 Exergy Analysis 113 3.1 Exergy / 113 3.1.1 Preliminaries / 113 3.1.2 Defining Exergy / 114 3.1.3 Environment and Dead States / 115 3.1.4 Exergy Components / 116 3.2 Physical Exergy / 117 3.2.1 Derivation / 117 3.2.2 Discussion / 120 CONTENTS Xi 3.3 Exergy Balance / 121 3.3.1 Closed System Exergy Balance I 121 3.3.2 Control Volume Exergy Balance I 123 3.4 Chemical Exergy I 131 3.4.1 Standard Chemical Exergy I 131 3.4.2 Standard Chemical Exergy of Gases and Gas Mixtures I 132 3.4.3 Standard Chemical Exergy of Fuels / 134 3.5 Applications I 138 3.5.1 Cogeneration System Exergy Analysis / 139 3.5.2 Exergy Destruction and Exergy Loss I 143 3.5.3 Exergetic Efficiency I 150 3.5.4 Chemical Exergy of Coal, Char, and Fuel Oil / 156 3.6 Guidelines for Evaluating and Improving Thermodynamic Effectiveness / 159 3.7 Closure / 162 References I 162 Problems I 163 4 Heat Transfer, Modeling, and Design Analysis 167 4.1 The Objective of Heat Transfer / 167 4.2 Conduction / 170 4.2.1 Steady Conduction / 170 4.2.2 Unsteady Conduction I 176 4.3 Convection I 184 4.3.1 External Forced Convection I 184 4.3.2 Internal Forced Convection I 190 4.3.3 Natural Convection / 195 4.3.4 Condensation / 199 4.3.5 Boiling / 202 4.4 Radiation I 207 4.4.1 Blackbody Radiation I 208 4.4.2 Geometric View Factors / 209 4.4.3 Diffuse-Gray Surface Model / 213 4.4.4 Two-Surface Enclosures I 214 4.4.5 Enclosures with More Than Two Surfaces I 220 4.4.6 Gray Medium Surrounded by Two Diffuse-Gray Surfaces / 221

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