Thermodynamics of Fluids Under Flow Second Edition

This is the second edition of the book “Thermodynamics of Fluids under Flow,” which was published in 2000 and has now been corrected, expanded and updated. This is a companion book to our other title Extended irreversible thermodynamics (D. Jou, J. Casas-

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David Jou • José Casas-Vázquez   Manuel Criado-Sancho

Thermodynamics of Fluids Under Flow Second Edition

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Prof. Dr. David Jou Grup de Fisica Estadistica, Departament de Fisica Universitat Autonoma de Barcelona 08193 Bellaterra Catalonia, Spain [email protected]

Prof. Manuel Criado-Sancho Facultad de Ciencias UNED 28040 Madrid Spain [email protected]

Prof. Dr. José Casas-Vázquez Grup de Fisica Estadistica, Departament de Fisica Universitat Autonoma de Barcelona 08193 Bellaterra Catalonia, Spain [email protected]

ISBN 978-94-007-0198-4         e-ISBN 978-94-007-0199-1 DOI 10.1007/978-94-007-0199-1 Springer Dordrecht Heidelberg London New York © Springer Science+Business Media B.V. 2011 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. Cover design: eStudio Calamar S.L. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com).

Preface

The thermodynamics of flowing fluids is an active and very challenging topic in modern non-equilibrium thermodynamics and statistical mechanics. After ten years of publication of the first edition of this book, we felt that a fully renewed, updated and enlarged edition was necessary to cover some of the progress made in these fields. A book on the thermodynamics of flowing fluids was published in 1994 by A. N. Beris and S. J. Edwards, Thermodynamics of Flowing Fluids with Internal Microstructure, Oxford University Press, New York, 1994: it was based on the Poisson bracket formalism and focused on fluids with internal microstructure. The books by D. J. Evans and G. P. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Australian National University E Press, 2007), A. Onuki, Phase Transition Dynamics (Cambridge University Press, 2002) and V. Garzó and A. Santos, Kinetic theory of gases in shear flow (Kluwer, Dordrecht, 2003) have also been useful and important contributions to a global vision of this field, the first with more emphasis on molecular dynamical simulations, the second one with special attention on critical phenomena, and the third one from the perspective of the kinetic theory of gases. The central perspective of the present book is, instead, on non-equilibrium thermodynamics beyond local equilibrium. The more macroscopic and phenomenological character of this approach allows to deal with a wider range of systems, going from ideal gases and phonon hydrodynamics to polymer solutions and melts, and to laminar and turbulent superfluids. The interest of the thermodynamics of flowing fluids is both theoretical and practical. From the theoretical point of view, the influence of the flow on the thermodynamic potentials requires the formulation of thermodynamic theor