Turbulence in Fluids Fourth Revised and Enlarged Edition
This is the 4th edition of a book originally published by Kluwer Academic Publishers. It is an exhaustive monograph on turbulence in fluids in its theoretical and applied aspects, with many advanced developments using mathematical spectral methods (two-po
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FLUID MECHANICS AND ITS APPLICATIONS
Volume 84 Series Editor: R. MOREAU MADYLAM Ecole Nationale Supérieure d'Hydraulique de Grenoble Boîte Postale 95 38402 Saint Martin d'Hères Cedex, France
Aims and Scope of the Series The purpose of this series is to focus on subjects in which fluid mechanics plays a fundamental role. As well as the more traditional applications of aeronautics, hydraulics, heat and mass transfer etc., books will be published dealing with topics which are currently in a state of rapid development, such as turbulence, suspensions and multiphase fluids, super and hypersonic flows and numerical modeling techniques. It is a widely held view that it is the interdisciplinary subjects that will receive intense scientific attention, bringing them to the forefront of technological advancement. Fluids have the ability to transport matter and its properties as well as to transmit force, therefore fluid mechanics is a subject that is particularly open to cross fertilization with other sciences and disciplines of engineering. The subject of fluid mechanics will be highly relevant in domains such as chemical, metallurgical, biological and ecological engineering. This series is particularly open to such new multidisciplinary domains. The median level of presentation is the first year graduate student. Some texts are monographs defining the current state of a field; others are accessible to final year undergraduates; but essentially the emphasis is on readability and clarity.
For a list of related mechanics titles, see final pages.
Turbulence in Fluids Fourth Revised and Enlarged Edition
By
MARCEL LESIEUR Fluid Mechanics Professor, Grenoble Institute of Technology, Member of the French Academy of Sciences
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-1-4020-6434-0 (HB) ISBN 978-1-4020-6435-7 (e-book) Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands. www.springer.com
Cover figure: Numerical simulation of positive-Q isosurfaces and passive-scalar cross sections in coaxial jets of same uniform density (courtesy G. Balarac).
Printed on acid-free paper
Library of Congress Control Number: 2007941158 All Rights Reserved © 2008 Springer No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.
This fourth edition would have never been possible without the love, enthusiasm and support of my children Alexandre, Guillaume, Juliette and St´ephanie.
Contents
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xvii 1
Introduction to Turbulence in Fluid Mechanics . . . . . . . . . . . . 1.1 Is it possible to define turbulence? . . .
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