Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists
· Provides innovative techniques for solving complex nonlinear partial differential equations, previously only available to scientists involved in classified government funded projects.· &nb
- PDF / 4,494,989 Bytes
- 379 Pages / 439.44 x 666.24 pts Page_size
- 71 Downloads / 369 Views
Bahman Zohuri
Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists
2123
Bahman Zohuri Galaxy Advanced Engineering, Inc. Albuquerque NM USA
ISBN 978-3-319-13475-8 ISBN 978-3-319-13476-5 (eBook) DOI 10.1007/978-3-319-13476-5 Library of Congress Control Number: 2015932492 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
This book is dedicated to my son Sasha, whom I love very much
Preface
In physics, engineering, and other aspects of science, dimensional analysis is a tool to find or check relations among physical quantities by using their dimensions. The dimension of a physical quantity is the combination of the basic physical dimensions (usually mass, length, time, electric charge, and temperature) which describe it; for example, speed has the dimension length/time, and may be measured in meters per second, miles per hour, or other units. Dimensional analysis is necessary because a physical law must be independent of the units used to measure the physical variables in order to be general for all cases. Dimensional analysis is routinely used to check the plausibility of derived equations and computations and to form reasonable hypotheses about complex physical situations. These situations can be tested by experiment or by more developed theories of the phenomena, and to categorize types of physical quantities and units, which are based on their relations. These relations may depend on other units or dimensions if any. Providing a concise and accessible overview of key concepts in dimensional analysis, this book uses cases and examples in engineering and science to show the practical use of dimensional analysis and self-similarity methods in solving complex problems. The text presents all of the mathematical steps along with the main equations.
Data Loading...
