Dynamics of Spatio-Temporal Cellular Structures: Henri Bénard Centenary Review (Springer Tracts in Modern Physics, 207) PDF
Preview Dynamics of Spatio-Temporal Cellular Structures: Henri Bénard Centenary Review (Springer Tracts in Modern Physics, 207)
Springer Tracts in Modern Physics Volume 207 Managing Editor: G.Hohler, Karlsruhe Editors:J. Kuhn, Karlsruhe T. Mtiller, Karlsruhe A. Ruckenstein, NewJersey F. Steiner, Ulm J. Trumper, Garching P. Wolfle, Karlsruhe Startingwith Volume 165,SpringerTractsinModern Physicsispart ofthe[SpringerLink]service. ForallcustomerswithstandingordersforSpringerTractsinModern Physicsweofferthefulltext inelectronicform via[SpringerLink]freeofcharge.Pleasecontact yourlibrarian whocanreceive apassword forfreeaccessto thefullarticlesbyregistrationat: springerlink.com If you do not have a standing order, you can nevertheless browse online through the table of contentsofthevolumesand theabstractsofeacharticleand perform afulltextsearch. There youwillalsofind moreinformation about theseries. Springer Tracts in Modern Physics SpringerTractsinModern Physicsprovidescomprehensiveandcriticalreviewsoftopicsofcurrent interest in physics. 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Seealsospringeronline.com ManagingEditor Solid-State Physics,Editors Gerhard Hohler Andrei Ruckenstein EditorforTheAmericas Institut furTheoretischeTeilchenphysik UniversitatKarlsruhe DepartmentofPhysicsandAstronomy Postfach6980 Rutgers,TheStateUniversityofNewJersey 76128Karlsruhe.Germany 136FrelinghuysenRoad Phone:+49(721)6083375 Piscataway,NJ08854-8019,USA Fax:+49(721)370726 Phone:+1(732)4454329 Email:[email protected] Fax:+1(732)445-4343 www-ttp.physik.uni-karlsruhe.dei Email:[email protected] www.physics.rutgers.eduipeopleipipsi ElementaryParticlePhysics,Editors Ruckenstein.html PeterWolfle Johann H.Kuhn InstitutfurTheoretischeTeilchenphysik InstitutfiirTheoriederKondensiertenMaterie UniversitatKarlsruhe UniversitatKarlsruhe Postfach6980 Postfach6980 76128Karlsruhe,Germany 76128Karlsruhe,Germany Phone:+49(721)6083590 Phone:+49(721)6083372 Fax:+49(721)6087779 Fax:+49(721)370726 Email:[email protected] Email:[email protected] www-tkm.physik.uni-karlsruhe.de www.llp.physik.uni-karlsruhe.dei~jk ThomasMuller ComplexSystems,Editor lnstitut ftlrExperimentelleKernphysik Frank Steiner FakultiitfUrPhysik UniversitatKarlsruhe AbteilungTheoretischePhysik Postfach6980 UniversitatUlm 76128Karlsruhe.Germany Albert-Einstein-Allee11 Phone:+49(721)6083524 89069Ulrn,Germany Fax:+49(721)6072621 Phone:+49(731)5022910 Email:[email protected] Fax:+49(731)5022924 www-ekp.physik.uni-karlsruhe.de Email:[email protected] www.physik.uni-ulm.deitheoiqcigroup.html FundamentalAstrophysics,Editor Joachim Triimper Max-Planck-InstitutfiirExtraterrestrischePhysik Postfach1312 85741Garching,Germany Phone:+49(89)30003559 Fax:+49(89)30003315 Email:[email protected] www.mpe-garching.mpg.deiindex.html Innocent Mutabazi Jose Eduardo Wesfreid Etienne Guyon Editors Dynamics of Spatio-Temporal Cellular Structures Henri Benard Centenary Review With 115 Figures ~ Springer Innocent Mutabazi JoseEduardo Wesfreid Laboratoire de Mecanique Physiqueet Mecanique Physique etGeosciences des Milieux Hererogenes Umverstte du Havre EcoleSuperleuredePhysique F-76058 LeHavreCedex et ChimieIndustrielles de Paris France F-7523l Paris Cedex 05 [email protected] France [email protected] Etienne Guyon Physique et Mecanlque des Milieux Heterogenes EcoleSuperieure de Physique etChimie IndustrieUes de Paris F-7523l ParisCedex OS France [email protected] Physicsand AstronomyClassificationScheme (PACS):47.25,47.10,44.60,05.7OCe LibraryofCongress Cataloging-in-Publication Data Dynamicsofspatio-temporal cellular structures/editedbyInnocent Mutabazi,Jose Eduardo Wesfreid, EtienneGuyon. p.em.- (Springer tracts inmodernphysics, ISSN0081-3869;v.207) Includes bibliographical references and index. ISBN0·387'40098·2 (alk.paper) I. Benardcells. 2. Heat-Convection. 3. Kinetictheory ofgases. 4. Benard,Henri, 1874-1939. 5. Marangoni effect. 6. Nonlineartheories. 7. Chaotic behavior insystems. I. Mutabazi, Innocent. 11. Wesfreid,J.E. III. Guyon,Etienne. IV. Springertracts in modern physics;207. QCl.S797Bd.207 [QC330.2! 536'.25- dc22 2005043231 ISBN-IO:0-387-40098-2 e-ISBN0·387·25111_1 ISBN-13:978-0387-40098-3 Printedon acid-freepaper. ©2006Springer Science-Business Media,Inc. Allrights reserved. This work may not be translated or copied in whole or in part without the written permission ofthepublisher(SpringerScience-BusinessMedia,lnc., 233SpringStreet,New York,NY10013,USA),exceptfor briefexcerpts inconnectionwith reviewsor scholarly analysis. Useinconnection withanyformofinformationstorageand retrieval,electronic adaptation,com puter software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. Theuse inthis publication oftrade names, trademarks,servicemarks,and similar terms, even if theyare not identified assuch,isnot tobetaken asanexpression ofopinionastowhetherornot theyare subject toproprietaryrights. Printed inthe United StalesofAmerica. (TB/EB) 98765 4321 springeronline.com Preface On March 15, 1901, Henri B´enard defended his thesis entitled “Les Tourbillons cellulaires dans une nappe liquide propageant de la chaleur par convection en r´egime permanent”1 atthe University of Paris, Sorbonne. Theresultscontained inthisthesishavebeenattheoriginofrecentintensiveresearchactivitiesoncel- lularstructuresobservedinmanyphysicochemicalsystemsfarfromequilibrium: instabilities, spatio-temporal patterns, chaos, and turbulence. The French Physical Society organized a scientific meeting to commemorate thecentenary of B´enard’sthesis,attheEcoleSup´erieuredePhysiqueetChimie Industrielles de Paris (ESPCI). This meeting, which gathered approximately one hundred scientists and graduate students working in nonlinear science, was honoredbythepresenceofthedirectoroftheESPCI,ProfessorPierre-Gillesde Gennes, Nobel laureate in physics (1991), who gave the opening talk. At the conference, lectures were given by internationally recognized scholars who have contributed to the development of B´enard’s work: J.E. Wesfreid, P. Manneville,Y.Pomeau,M.Velarde,J.Gollub,M.Provansal,G.Nicolis,B.Cas- taing,andP.Coullet.Apostersessionandaroundtableonfurtherdevelopments in nonlinear physics were organized. In the present book, we have extended the list of contributors in order to cover all the aspects involved with B´enard’s work, with a main focus on ther- mal convection, on B´enard–Marangoni instability and on B´enard–von Karman instability. WewouldliketothankDr.HansKoelschfromSpringerforthepublicationof this monography in the Springer Tracts in Modern Physics series. We acknowl- edge a critical reading by C.D. Mitescu and a very helpful technical assistance from Olivier Crumeyrolle. Le Havre, Paris Innocent Mutabazi 10 May 2004 Jos´e Eduardo Wesfreid Etienne Guyon 1 Cellularvorticesinathinliquidlayerpropagatingheatbyconvectioninastationary regime. Contents Part I Introduction 1 The Context of B´enard Scientific Work and Nonlinear Science I. Mutabazi, J.E. Wesfreid, and E. Guyon............................. 3 2 Scientific Biography of Henri B´enard (1874–1939) J.E. Wesfreid...................................................... 9 Part II B´enard Cellular Structures 3 Rayleigh–B´enard Convection: Thirty Years of Experimental, Theoretical, and Modeling Work P. Manneville ..................................................... 41 4 Experiments with Rayleigh–B´enard Convection G. Ahlers ......................................................... 67 5 Rayleigh–B´enard Convection as a Model of a Nonlinear System: A Personal View Y. Pomeau........................................................ 95 6 B´enard Convection and Geophysical Applications F.H. Busse........................................................ 103 Part III B´enard–Marangoni Cellular Structures 7 B´enard Layers, Overstability, and Waves M.G. Velarde...................................................... 129 8 Hydrothermal Waves in a Disk of Fluid N. Garnier, A. Chiffaudel, F. Daviaud................................ 147 9 Secondary Instabilities in Surface-Tension-Driven B´enard–Marangoni Convection K. Eckert and A. Thess............................................. 163 VIII Contents Part IV B´enard and Wakes 10 Wake Instabilities Behind Bluff Bodies M. Provansal...................................................... 179 11 Spatial Inhomogeneities of Hydrodynamic Instabilities S. Goujon-Durand and J.E. Wesfreid................................. 203 Part V Extension of B´enard’s Work 12 Patterns and Chaotic Dynamics in Faraday Surface Waves J.P. Gollub ....................................................... 213 13 The Taylor–Couette Flow: The Hydrodynamic Twin of Rayleigh–B´enard Convection A. Prigent, B. Dubrulle, O. Dauchot, and I. Mutabazi .................. 225 Index............................................................ 243 Contributors G. Ahlers, Department of Physics and IQUEST, University of California, Santa Barabara, CA 93106, USA, [email protected] F.H. Busse, Institute of Physics, University of Bayreuth, D-95440 Bayreuth, Germany, [email protected] A. Chiffaudel, Groupe Instabilit´es et Turbulence, Service de Physique de l’Etat Condens´e, DRECAM, CNRS URA 2464, CEA-Saclay, F-91191 Gifsur-Yvette Cedex, France, arnaud.chiff[email protected] F. Daviaud, Groupe Instabilit´es et Turbulence, Service de Physique de l’Etat Condens´e, DRECAM, CNRS URA 2464, CEA-Saclay, F-91191 Gifsur-Yvette Cedex, France, [email protected] O. Dauchot, Groupe Instabilit´es et Turbulence, Service de Physique de l’Etat Condens´e, DRECAM, CNRS URA 2464, CEA-Saclay, F-91191 Gifsur-Yvette Cedex, France, [email protected] B. Dubrulle, Groupe Instabilit´es et Turbulence, Service de Physique de l’Etat Condens´e, DRECAM, CNRS URA 2464, CEA-Saclay, F-91191 Gifsur-Yvette Cedex, France, [email protected] K. Eckert, Institute of Aerospace Engineering, Dresden University of Technol- ogy, D-01062 Dresden, Germany, [email protected] N. Garnier, Laboratoire de Physique, CNRS UMR 5672, ENS-Lyon, 46 alle d’Italie, F-69264 Lyon Cedex 07, France, [email protected] J. Gollub, Physics Department, Haverford College, Haverford, PA 19041, and DepartmentofPhysicsandAstronomy,UniversityofPensylvania,Philadelphia, PA19104, USA, [email protected] S. Goujon-Durand, Universit´e Paris XII, 61 Avenue du G´en´eral de Gaulle, F- 94010 Cr´eteil, France, [email protected] E. Guyon, Physique et M´ecanique des Milieux H´et´erog`enes, Ecole Sup´erieure de Physique et Chimie Industrielles de Paris, 10 rue Vauquelin, F-75231 Paris Cedex 05, France, [email protected] X Contributors P. Manneville, Laboratoire d’Hydrodynamique, Ecole Polytechnique, F-91128 Palaiseau Cedex, France, [email protected] I. Mutabazi, Laboratoire de M´ecanique, Physique et G´eosciences, Universit´e du Havre,25,ruePhilippeLebon,F-76058LeHavreCedex,France,mutabazi@univ- lehavre.fr Y.Pomeau,LaboratoiredePhysiqueStatistiquedel’EcoleNormaleSup´erieure, 24, rue Lhomond, F-75231 Paris Cedex 05, France, [email protected] A. Prigent, Laboratoire de M´ecanique, Physique et G´eosciences, Universit´e du Havre,25,ruePhilippeLebon,F-76058LeHavreCedex,France,arnaud.prigent @univ-lehavre.fr M. Provansal, Institut de Recherche sur les Ph´enom`enes Hors Equilibre, UMR CNRS 6594, Technopole Chateau-Gombert, 49, rue F. Joliot-Curie, B.P. 146, F-13384 Marseille Cedex 13, France, [email protected] A. Thess, Department of Mechanical Engineering, Ilmenau University of Tech- nology, P.O. Box 1000565, D-98684 Ilmenau, Germany, [email protected] M. Velarde, Instituto Pluridisciplinar, Universidad Complutense de Madrid, Paseo Juan XXIII, n1, 28040 Madrid, Spain, and International Center of Me- chanical Sciences (CSIM), Palazzo del Torso, Piazza Garibaldi, 33100 Udine, Italy, velarde@fluidos.pluri.ucm.es J.E.Wesfreid,PhysiqueetM´ecaniquedesMilieuxH´et´erog`enes,EcoleSup´erieure de Physique et Chimie Industrielles de Paris, 10 rue Vauquelin, F-75231 Paris Cedex 05, France, [email protected]
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