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

Tom Mullin, Doug Satchwell, Yorinobu Toya (auth.), Christoph Egbers, Gerd Pfister (eds.)3540675140, 9783540675143

This book is devoted to recent developments in the field of rotating fluids, in particular the study of Taylor–Couette flow, spherical Couette flow, planar Couette flow, as well as rotating annulus flow. Besides a comprehensive overview of the current state of the art, possible future directions in this research field are investigated. The first part of this volume presents several new results in the classical Taylor–Couette system covering diverse theoretical, experimental and numerical work on bifurcation theory, influence of boundary conditions, counter-rotating flows, spiral vortices and many others. The second part focuses on spherical Couette flows, including isothermal flows, thermal convective motion, as well as magnetohydrodynamics in spherical shells. The remaining parts are devoted to Goertler vortices, rotating annulus flows, as well as superfluid Couette flows. The present book will be of interest to all researchers and graduate students working actively in the field.

---

Table of contents :
Pitchfork bifurcations in small aspect ratio Taylor-Couette flow….Pages 3-21
Taylor-Couette system with asymmetric boundary conditions….Pages 22-36
Bifurcation and structure of flow between counter-rotating cylinders….Pages 37-54
Spiral vortices and Taylor vortices in the annulus between counter-rotating cylinders….Pages 55-66
Stability of time-periodic flows in a Taylor-Couette geometry….Pages 67-83
Low-dimensional dynamics of axisymmetric modes in wavy Taylor vortex flow….Pages 84-101
Spatiotemporal intermittency in Taylor-Dean and Couette-Taylor systems….Pages 102-117
Axial effects in the Taylor—Couette problem: Spiral—Couette and Spiral—Poiseuille flows….Pages 118-136
Stability and experimental velocity field in Taylor—Couette flow with axial and radial flow….Pages 137-155
Transport phenomena in magnetic fluids in cylindrical geometry….Pages 156-170
Secondary bifurcations of stationary flows….Pages 171-193
Taylor vortices at different geometries….Pages 194-212
Isothermal spherical Couette flow….Pages 215-233
Vortical structures and velocity fluctuations of spiral and wavy vortices in the spherical Couette Flow….Pages 234-255
Spherical Couette flow with superimposed throughflow….Pages 256-268
Three-dimensional natural convection in a narrow spherical shell….Pages 269-294
Magnetohydrodynamic flows in spherical shells….Pages 295-316
Intermittency at onset of convection in a slowly rotating, self-gravitating spherical shell….Pages 317-324
Control of secondary instability of the crossflow and Görtler-like vortices (Success and problems)….Pages 327-351
Higher order dynamics of baroclinic waves….Pages 355-375
Superfluid Couette flow….Pages 379-398
Tertiary and quaternary solutions for plane Couette flow with thermal stratification….Pages 399-416
On the rotationally symmetric laminar flow of Newtonian fluids induced by rotating disks….Pages 417-439