Two-Fluid Model Stability, Simulation and Chaos
This book addresses the linear and nonlinear two-phase stability of the one-dimensional Two-Fluid Model (TFM) material waves and the numerical methods used to solve it. The TFM fluid dynamic stability is a problem that remains open since its inception mor
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Model Stability, Simulation and Chaos
Two-Fluid Model Stability, Simulation and Chaos
Martı´n Lo´pez de Bertodano • William Fullmer Alejandro Clausse • Victor H. Ransom
Two-Fluid Model Stability, Simulation and Chaos
Martı´n Lo´pez de Bertodano School of Nuclear Engineering Purdue University West Lafayette, IN, USA
William Fullmer School of Nuclear Engineering Purdue University West Lafayette, IN, USA
Alejandro Clausse School of Exact Sciences University of Central Buenos Aires & CONICET, National Atomic Energy Commission Buenos Aires, Argentina
Victor H. Ransom School of Nuclear Engineering Purdue University West Lafayette, IN, USA
Videos to this book can be accessed at http://link.springer.com/book/10.1007/978-3-319-44968-5_4 ISBN 978-3-319-44967-8 ISBN 978-3-319-44968-5 DOI 10.1007/978-3-319-44968-5
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Library of Congress Control Number: 2016956260 © Springer International Publishing Switzerland 2017 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 This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
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Foreword
Many important technologies of the late industrial revolution required an understanding of the underlying science and the ability to model difficult-to-describe materials. Out of this need evolved the engineering discipline of two-phase fluid dynamics. While two-phase flow and heat transfer technology was initially an empirical-based science, in the middle of the twentieth century research being done in Russia, Europe, and the USA (i.e., the development of drift-flux theory) and the publication of several significant books1 led to a revolution in the development of the theory and solution methods for this emerging discipline. Two-phase flow models had the interesting feature that an overly simple model is ill-posed (see Chap. 3), possessing small-scale exponentially
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