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.

Inhalt

Taylor-Couetteflow.- Pitchfork bifurcations in small aspect ratio Taylor-Couette flow.- Taylor-Couette system with asymmetric boundary conditions.- Bifurcation and structure of flow between counter-rotating cylinders.- Spiral vortices and Taylor vortices in the annulus between counter-rotating cylinders.- Stability of time-periodic flows in a Taylor-Couette geometry.- Low-dimensional dynamics of axisymmetric modes in wavy Taylor vortex flow.- Spatiotemporal intermittency in Taylor-Dean and Couette-Taylor systems.- Axial effects in the Taylor-Couette problem: Spiral-Couette and Spiral-Poiseuille flows.- Stability and experimental velocity field in Taylor-Couette flow with axial and radial flow.- Transport phenomena in magnetic fluids in cylindrical geometry.- Secondary bifurcations of stationary flows.- Taylor vortices at different geometries.- Spherical Couette flow.- Isothermal spherical Couette flow.- Vortical structures and velocity fluctuations of spiral and wavy vortices in the spherical Couette Flow.- Spherical Couette flow with superimposed throughflow.- Three-dimensional natural convection in a narrow spherical shell.- Magnetohydrodynamic flows in spherical shells.- Intermittency at onset of convection in a slowly rotating, self-gravitating spherical shell.- Goertler vortices and curved surfaces.- Control of secondary instability of the crossflow and Görtler-like vortices (Success and problems).- Rotating annulus.- Higher order dynamics of baroclinic waves.- Plane Couette flow.- Superfluid Couette flow.- Tertiary and quaternary solutions for plane Couette flow with thermal stratification.- On the rotationally symmetric laminar flow of Newtonian fluids induced by rotating disks.