ADVANCES IN HEAT T R A N S F E R Volume 36 This Page Intentionally Left Blank Thomas F. Irvine, Jr., 1922-2001, Memorial Volume A dvances in HEAT TRANSFER Serial Editors James P. Hartnett Thomas F. Irvine, Jr. Energy Resources Center University of Illinois at Chicago Chicago, Illinois Department of Mechanical Engineering State University of New York at Stony Brook Stony Brook, New York Serial Associate Editors Young I. Cho George A. Greene Department of Mechanical Engineering Drexel University Philadelphia, Pennsylvania Energy Sciences and Technology Department Brookhaven National Laboratory Upton, New York Volume 36 ACADEMIC PRESS An imprint of Elsevier Science Amsterdam Boston London New York Oxford Paris San Diego San Francisco Singapore Sydney Tokyo This book is printed on acid-free paper. (~) Copyright 2002, Elsevier Science (USA). All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. The appearance of code at the bottom of the first page of a chapter in this book indicates the Publisher's consent that copies of the chapter may be made for personal or internal use of specific clients. This consent is given on the condition, however, that the copier pay the stated per-copy fee through the Copyright Clearance Center, Inc. (222 Rosewood Drive, Danvers, Massachusetts 01923), for copying beyond that permitted by Sections 107 or 108 of the U.S. Copyright Law. This consent does not extend to other kinds of copying, such as copying for general distribution, for advertising or promotional purposes, for creating new collective works, or for resale. Copy fees for pre-2002 chapters are as shown on the title pages. If no fee code appears on the chapter title page, the copy fee is the same for current chapters. 0065-2717/02 $35.00 Explicit permission from Academic Press is not required to reproduce a maximum of two figures or tables from an Academic Press chapter in another scientific or research publication provided that the material has not been credited to another source and that full credit to the Academic Press chapter is given. Academic Press An imprint of Elsevier Science 525 B Street, Suite 1900, San Diego, California 92101-4495, USA http ://www. academicpress.com Academic Press 84 Theobolds Road, London WC1X 8RR, UK http://www.academicpress.com International Standard Book Number: 0-12-020036-8 International Standard Serial Number: 0065-2717 PRINTED IN THE UNITED STATES OF AMERICA 02 03 04 05 06 07 MB 9 8 7 6 5 4 3 2 1 CONTENTS Contributors . . . . . . . . . . . . . . . . . . . . . . . . ix In M e m o r y of Professor T h o m a s F. Irvine, Jr . . . . . . . . . . xi Preface xv . . . . . . . . . . . . . . . . . . . . . . . . . . Inverse Design of Thermal Systems with Dominant Radiative Transfer FRANCIS H. R. F R A N ~ A , JOHN R. H O W E L L , OFODIKE A . F~ZEKOYE, AND JUAN CARLOS MORALES I. Introduction . . . . . . . . . . . . . . . . . . . . . . A. Rationale for an Inverse Approach to Design B. Differences from Conventional Design . C. Outline of This C h a p t e r . 1 . . 2 4 5 II. List of Symbols . . . . . . . . . . . . . . . . . . . . III. Mathematics of Inverse Design . . . . . . . . . . . . . . A. B. C. D. Regularization Methods. Other A p p r o a c h e s . Literature Review . State of the Art in Inverse Design 6 7 . . . 7 26 27 28 IV. Inverse Design of Linear Systems D o m i n a t e d by Radiative Transfer . . . . . . .