Chemistry And Biology Of Hyaluronan

ADVANCES IN HEAT TRANSFER Volume 34 a This Page Intentionally Left Blank Advances 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 Department of Advanced Technology Brookhaven National Laboratory Upton, New York Volume 34 San Diego San Francisco New York Boston London Sydney Tokyo This book is printed on acid-free paper. Copyright  2001 by Academic Press 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 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. 0065-2717/01 $35.00 ACADEMIC PRESS 525 B Street, Suite 1900, San Diego, CA 92101-4495, USA http://www.academicpress.com Academic Press Harcourt Place, 32 Jamestown Road, London NW1 7BY, UK International Standard Book Number: 0-12-020034-1 International Standard Serial Number: 0065-2717 Printed in the United States of America 00 01 02 03 QW 9 8 7 6 5 4 3 2 1 CONTENTS Contributors . . . . . . . . . . . . . . . . . . . . . . . . . . . Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix xi Transport Phenomena in Heterogeneous Media Based on Volume Averaging Theory V. S. Travkin and I. Catton I. Introduction . . . . . . . . . . . . . . . . . . . . . . . . II. Fundamentals of Hierarchical Volume Averaging Techniques . . . . . . . . . . . . . . . . . . . . . . . . 1 A. Theoretical Verification of Central VAT Theorem and Its Consequences . 10 III. Nonlinear and Turbulent Transport in Porous Media A. Laminar Flow with Constant Coefficients . . . . . . . . . B. Nonlinear Fluid Medium Equations in Laminar Flow . . . . C. Porous Medium Turbulent VAT Equations . . . . . . . . . . . . . . . . . . . . . . . . D. Development of Turbulent Transport Models in Highly Porous Media . E. Closure Theories and Approaches for Transport in Porous Media . . . IV. Microscale Heat Transport Description Problems and VAT Approach . . . . . . . . . . . . . . . . . . . . . . . A. Traditional Descriptions of Microscale Heat Transport . . . . . . . . B. VAT-Based Two-Temperature Conservation Equations . . . . . . . . C. Subcrystalline Single Crystal Domain Wave Heat Transport Equations . D. Nonlocal Electrodynami