Lecture Notes in Physics 549

Physics of Rotating Fluids

Selected Topics of the 11th International Couette-Taylor Workshop Held at Bremen, Germany, 20–23 July 1999

Bearbeitet von Christoph Egbers, Gerd Pfister

1. Auflage 2000. Buch. xviii, 442 S. Hardcover ISBN 978 3 540 67514 3 Format (B x L): 15,5 x 23,5 cm Gewicht: 1820 g

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“Lecture Notes in Physics”, having a strong publishing history in fundamental physics research, has devoted a special volume to recent developments in the field of physics of rotating fluids and related topics. The present volume will comprise 23 contributed papers on the different aspects of rotating fluids, i.e. Taylor– Couette flow, spherical Couette flow, plane Couette flow, as well as rotating annulus flow. In the seminal paper by G.I. Taylor, a powerful combination of theory and experiment was brought to bear on the stability of flow between rotating cylin- ders, now referred to as Taylor–Couette flow. The significance of his work lies in the fact that here, for the first time, an experiment in fluid dynamics and the theory, using the Navier–Stokes equations, could be compared and led to excel- lent agreement. Since that time ideas associated with rotating flows have been extended and have resulted in classic texts such as Greenspan’s “The theory of rotating fluids”. In this present book we report on modern developments in the field where new mathematical ideas have been applied to experimental observations on a variety of related flow fields. The aim of this volume is to provide the reader with a comprehensive overview of the current state of the art and possible future directions of the Taylor–Couette community and to include related topics and applications. The first part of this volume is devoted to several new results in the classical Taylor–Couette problem covering diverse theoretical, experimental and numeri- cal works on bifurcation theory, the influence of boundary conditions, counter- rotating flows, spiral vortices, time-periodic flows, low dimensional dynamics, ax- ial effects, secondary bifurcations, spatiotemporal intermittency, Taylor–Couette flows with axial and radial flow, Taylor vortices at different geometries and trans- port phenomena in magnetic fluids. The second part of this volume focuses on spherical Couette flows, including isothermal flows, vortical structures, spiral and wavy vortices, the influence of throughflow, thermal convective motions, intermittency at the onset of convec- tion, as well as magneto-hydrodynamics in spherical shells. Further parts are devoted to Goertler vortices and flows along curved sur- faces, rotating annulus flows, as well as superfluid Couette flows, tertiary and quarternary solutions for plane Couette flows with thermal stratification and rotating disk flows. VI Preface

We hope that the readers will find this volume useful, giving an overview of the latest experimental and theoretical studies on the physics of rotating fluids. It is a pleasure for us to thank all those who contributed to the conference “11th International Couette–Taylor Workshop” and, by the same token, to this volume. We would like to thank the Dipl. Phys. Oliver Meincke, Markus Junk, Arne Schulz and Jan Abshagen for their invaluable and indispensable help in editing this book. Last, but not least, we are grateful to Dr. Christian Caron for offering to publish this volume in the Springer Series “Lecture Notes in Physics” and for the patient assistance of Mrs. Brigitte Reichel-Mayer.

Bremen, Kiel August 2000 Christoph Egbers Gerd Pfister List of Contributors

Jan Abshagen Physikalisches Institut Universit¨at Kiel 95440 Bayreuth Institut f¨ur Experimentelle und Germany Angewandte Physik [email protected] Olshausenstrasse 40 24098 Kiel Pascal Chossat Germany Universit´e de Nice [email protected] Sophia Antipolis I.N.L.N. Eberhard B¨ansch 1361, route des lucioles Zentrum f¨ur Technomathematik 06560 Sophia Antipoli Universit¨at Bremen France Postfach 33 04 40 [email protected] 28334 Bremen R.M. Clever Germany Institute of Geophysics and Planetary [email protected] Physics University of California Carlo F. Barenghi Los Angeles Dept. of Mathematics and Statistics USA The University of Newcastle Upon Tyne Antonio Delgado Newcastle Upon Tyne NE1 7RU TU M¨unchen United Kingdom Lehrstuhl f¨ur Fluidmechanik und [email protected] Prozessautomation Weihenstephaner Steig 23 John H. Bolstad 85350 Freising Laurence Livermore National Germany Laboratory [email protected] L-23, University of California POB 808 Christoph Egbers Livermore, CA 94550 ZARM USA Universit¨at Bremen [email protected] Am Fallturm 28359 Bremen Friedrich Busse Germany Universit¨at Bayreuth [email protected] XVI List of Contributors

Afshin Goharzadeh Institute of Theoretical Universit´eduHavre and Applied Mechanics Laboratoire de M´ecanique 630090 Novosibirsk Groupe d’Energ´etique et M´ecanique Russia 25, rue Philippe Lebon, B.P. 540 [email protected] 76058 Le Havre Cedex France Patrice Laure [email protected] Institut Non-Lin´eaire de Nice UMR 129 CNRS-Universit´e de Nice, Genrich R. Grek 1361, route des Lucioles Russian Academy of Sciences, 06560 Valbonne Siberian Division France Institute of Theoretical and Applied [email protected] Mechanics 630090 Novosibirsk Ming Liu Russia ZARM [email protected] Universit¨at Bremen Am Fallturm Christoph Hartmann 28359 Bremen TU M¨unchen Germany Lehrstuhl f¨ur Fluidmechanik und [email protected] Prozessautomation Weihenstephaner Steig 23 Manfred L¨ucke 85350 Freising Institut f¨ur Theoretische Physik Germany Universit¨at des Saarlandes [email protected] 66041 Saarbr¨ucken Rainer Hollerbach Germany University of Glasgow [email protected] Department of Mathematics 15 University Gardens Richard M. Lueptow Glasgow G128QW Northwestern University United Kingdom Dept. of Mechanical Engineering [email protected] 2145 Sheridan Road Evanston, IL 60208-3111 Markus Junk USA ZARM [email protected] Universit¨at Bremen Am Fallturm Francesc Marqu`es 28359 Bremen Universitat Polit`ecnica de Catalunya Germany Departamenta de F´isica Aplicada [email protected] Jordi Girona Salgado s/n M`odul B4 Campus Nord Victor V. Kozlov 08034 Barcelona, Spain Russian Academy of Sciences, Spain Siberian Division [email protected] List of Contributors XVII

Oliver Meincke Japan ZARM [email protected] Universit¨at Bremen Am Fallturm Christiane Normand 28359 Bremen C.E.A/Saclay, Germany Service de Physique Th´eorique [email protected] 91191 Gif-sur-Yvette Cedex France Alvaro´ Meseguer [email protected] Oxford University Computing Laboratory Stefan Odenbach Numerical Analysis Group ZARM Wolfson Building, Parks Road Universit¨at Bremen Oxford OX1 3QD Am Fallturm United Kingdom 28359 Bremen [email protected] Germany [email protected] Rita Meyer-Spasche MPI f¨ur Plasmaphysik Gerd Pfister EURATOM-Association Universit¨at Kiel 85748 Garching Institut f¨ur Experimentelle und Germany Angewandte Physik [email protected] Olshausenstrasse 40 24098 Kiel Innocent Mutabazi Germany Universit´eduHavre [email protected] Laboratoire de M´ecanique Groupe d’Energ´etique et M´ecanique Frank Pohl 25, rue Philippe Lebon, B.P. 540 MPI f¨ur Plasmaphysik 76058 Le Havre Cedex EURATOM-Association France 85748 Garching [email protected] Germany

Tom Mullin Doug Satchwell Department of Physics and Astronomy Department of Physics and Astronomy The University of Manchester The University of Manchester Manchester M13 9PL Manchester M13 9PL United Kingdom United Kingdom [email protected] [email protected]

Koichi Nakabayashi Arne Schulz Nagoya Institute of Technology Universit¨at Kiel Department of Mechanical Institut f¨ur Experimentelle Engineering und Angewandte Physik Gokiso-Cho, Showa-Ku Olshausenstrasse 40 Nagoya, 466-8555 24098 Kiel XVIII List of Contributors

Germany 28359 Bremen [email protected] Germany [email protected] Nicoleta Dana Scurtu Zentrum f¨ur Technomathematik Yorinobu Toya Universit¨at Bremen Nagano National College of Postfach 33 04 40 Technology 28334 Bremen Department of Mechanical Germany Engineering [email protected] 716 Tokuma Nagano, 381-8550 Weiming Sha Japan Geophysical Institute [email protected] Graduate School of Science Tohoku University Aoba-Ku, Sendai, 980-8578 Manfred Wimmer Japan Universit¨at Karlsruhe [email protected] Fachgebiet Str¨omungsmaschinen Kaiserstr. 12 Bernd Sitte 76128 Karlsruhe ZARM Germany Universit¨at Bremen manfred.wimmer@mach. Am Fallturm uni-karlsruhe.de