Computational Methods in Chemical Engineering with Maple
This book helps chemical and other engineers develop their skills for solving mathematical models using Maple. These mathematical models can consist of systems of algebraic, ordinary, and partial differential equations. Maple’s ‘dsolve’ is used to obtain
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Ralph E. White and Venkat R. Subramanian
Computational Methods in Chemical Engineering with Maple
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Prof. Dr. Ralph E. White University of South Carolina Dept. Chemical Engineering Columbia SC 29208 3 C 15 Swearingen Eng. Bldg. USA E-mail: [email protected] Dr. Venkat R. Subramanian Associate Professor Department of Energy Environmental & Chemical Engineering Washington University in Saint Louis One Brookings Drive, Box 1180 Saint Louis, MO 63130 USA E-mail: [email protected]
''Additional material to this book can be downloaded from http://extra.springer.com '' ISBN 978-3-642-04310-9
e-ISBN 978-3-642-04311-6
DOI 10.1007/978-3-642-04311-6 Library of Congress Control Number: 2009940124 c 2010 Springer-Verlag Berlin Heidelberg
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: Scientific Publishing Services Pvt. Ltd., Chennai, India Cover Design: WMX Design, Heidelberg, Germany Printed in acid-free paper 987654321 springer.com
Preface
This book presents Maple solutions to a wide range of problems relevant to chemical engineers and others. Many of these solutions use Maple’s symbolic capability to help bridge the gap between analytical and numerical solutions. The readers are strongly encouraged to refer to the references included in the book for a better understanding of the physics involved, and for the mathematical analysis. This book was written for a senior undergraduate or a first year graduate student course in chemical engineering. Most of the examples in this book were done in Maple 10. However, the codes should run in the most recent version of Maple. We strongly encourage the readers to use the classic worksheet (*.mws) option in Maple as we believe it is more user-friendly and robust. In chapter one you will find an introduction to Maple which includes simple basics as a convenience for the reader such as plotting, solving linear and nonlinear equations, Laplace transformations, matrix operations, ‘do loop,’ and ‘while loop.’ Chapter two presents linear ordinary differential equations in section 1 to include homogeneous and nonhomogeneous ODEs, solving systems of ODEs using the matrix exponential and Laplace transform method. In section two of chapter two, nonlinear ordinary differential
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