Ordered and Turbulent Patterns in Taylor-Couette Flow

Seldom does a physical system, particularly one as apparently simple as the flow of a Newtonian fluid between concentric rotating cylinders, retain the interest of scientists, applied mathematicians and engineers for very long. Yet, as this volume goes to press it has been nearly 70 years since G. I. Taylor's outstanding experimental and theoretical study of the linear stability of this flow was published, and a century since the first experiments were performed on rotating cylinder viscometers. Since then, the study of this system has progressed enormously, but new features of the flow patterns are still being uncovered. Interesting variations on the basic system abound. Connections with open flows are being made. More complex fluids are used in some experiments. The vigor of the research going on in this particular example of nonequilibrium systems was very apparent at the NATO Advanced Research Workshop on "Ordered and Turbulent Patterns in Taylor Couette Flow," held in Columbus, Ohio, USA May 22-24, 1991. A primary goal of this ARW was to bring together those interested in pattern formation in the classic Taylor Couette problem with those looking at variations on the basic system and with those interested in related systems, in order to better define the interesting areas for the future, the open questions, and the features common (and not common) to closed and open systems. This volume contains many of the contributions presented during the workshop.

Proceedings of a NATO ARW held in Columbus, Ohio, May 22-24, 1991

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Taylor-Couette Flow, Experiment and Theory.- Evolution of Instrumentation for Taylor-Couette Flow.- Mode Competition and Coexistence in Taylor-Couette Flow.- Low-Dimensional Spectral Truncations for Taylor-Couette Flow.- The Couette-Taylor Problem in the Small Gap Approximation.- Structure of Taylor Vortex Flow and the Influence of Spatial Amplitude Variations on Phase Dynamics.- Chaotic Phase Diffusion Through the Interaction of Phase Slip Processes.- Phase Dynamics in the Taylor-Couette System.- Spiral Vortices in Finite Cylinders.- Taylor-Couette Flow Systems with Broken Rotational Symmetry.- A Model of the Disappearance of Time-Dependence in the Flow Pattern in the Taylor-Dean System.- End Circulation in Non-Axisymmetrical Flows.- Bifurcation Phenomena in Taylor-Couette Flow Subject to a Coriolis Force.- Instability of Taylor-Couette Flow Subjected to a Coriolis Force.- Bifurcations to Dynamic States in Taylor-Couette Flow with External Rotation.- On the Stability of Taylor-Couette Flow Subjected to External Rotation.- Turbulence in Taylor-Couette and Plane Couette Flow.- Numerical Simulation of Turbulent Taylor-Couette Flow.- Intermittent Turbulence in Plane and Circular Couette Flow.- Instabilities, Pattern Formation and Turbulence in Model Equations.- On the Eckhaus and the Benjamin-Feir Instability in the Vicinity of a Tricritical Point.- Phase vs. Defect Turbulence in the 1-D Complex Ginzburg-Landau Equation.- Double Eigenvalues and the Formation of Flow Patterns.- Extensions of Taylor-Couette Flow.- The Effect of Throughflow on Rayleigh Benard Convective Rolls.- Taylor Vortex Flow with Superimposed Radial Mass Flux.- Vortex Patterns Between Cones and Cylinders.- Instability of Taylor-Couette Flow of Helium II.- Effects of Radial Temperature Gradient on MHD Stability of Couette Flow Between Conducting Cylinders - A Wide Gap Problem.- Open Flows.- Structure and Perturbation in Görtler Vortex Flow.- Transition to Turbulence in Görtler Flow.- Effect of Curvature Plane Orientation on Vortex Distortion in Curved Channel Flow.- Splitting, Merging and Wavelength Selection of Vortex Pairs in Curved and/or Rotating Channels.- Transient, Oscillatory and Steady Characteristics of Dean Vortex Pairs in a Curved Rectangular Channel.- On the Subharmonic Instability of Finite-Amplitude Longitudinal Vortex Rolls in Inclined Free Convection Boundary Layers.- Centrifugal Instabilities in Rotating Frame about Flow Axis.- A Guide to Literature Related to the Taylor-Couette Problem.