transport phenomena in biological systems 2nd edition pdf

#Transport phenomena in biological systems 2nd edition pdf free#

W h i l e momentum, heat, and mass transfer developed independently as branches of classical physics long ago, their unified study has found its place as one of the fundamental engineering sciences. Byron (Robert Byron), 1924Transport phenomena / R. Library of Congress Cataloging-in-Publication Data Bird, R. To order books or for customer service please call 1-800-CALL WILEY (225-5945). No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1976 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, (508)750-8400,fax (508)750-4470.Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 605 Third Avenue, New York, NY 10158-0012, (212)850-6011,fax (212)850-6008,E-Mail.

#Transport phenomena in biological systems 2nd edition pdf free#

This book is printed on acid free paper.Ĭopyright O 2002 John Wiley & Sons, Inc. and printed and bound by Hamilton Printing. New York / Chichester / Weinheim / Brisbane / Singapore / TorontoĪcquisitions Editor Wayne Anderson Marketing Manager Katherine Hepburn Senior Production Editor Petrina Kulek Director Design Madelyn Lesure Illustration Coodinator Gene Aiello This book was set in Palatino by UG / GGS Information Services, Inc. Lightfoot Chemical Engineering Department University of Wisconsin-Madison This Page Intentionally Intentionally Left Left Blank Note: the differential operations may not be simply generalized to curvilinear coordinates see Tables A.7-2 and A.7-3.

**.DIFFERENTIAL OPERATIONS FOR SCALARS, VECTORS, AND TENSORS IN CARTESIAN COORDINATESĭ2vz d2v, d2vZ +-az2 ,= ,= ax2 + dvx dvx dvx ,= vx dx + vY dy + v, dz. Descriptions of curvilinear coordinates are given in Figures 1.2-2, A.6-1, A.8-1, and A.8-2.

Note: The above operations may be generalized to cylindrical coordinates by replacing (x, y, z ) by (r, 6, z), and to spherical coordinates by replacing (x, y, z) by ( r, 6, 4). (s is a scalar v and w are vectors T is a tensor dot or cross operations enclosed within parentheses are scalars, those enclosed in brackets are vectors) ALGEBRAIC OPERATIONS FOR VECTORS AND TENSORS IN CARTESIAN COORDINATES l