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.
Erscheinungsdatum: 13.07.2013

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

edited by C. David Andereck, F. Hayot

NATO ASI Series, Series B: Physics, 0258-1221 -- 297, NATO ASI series -- 297., Boston, MA, Massachusetts, 1992

Softcover reprint of the original 1st ed. 1992, 2013

Nato Science Series B:, Physics, Boston, MA, 1992

United States, United States of America

Springer Nature, New York, NY, 2012

Jul 13, 2013

sm36889514

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Source title: Ordered and Turbulent Patterns in Taylor-Couette Flow (Nato Science Series B: (Closed))

Front Matter....Pages i-xi
Evolution of Instrumentation for Taylor-Couette Flow....Pages 1-27
Mode Competition and Coexistence in Taylor-Couette Flow....Pages 29-41
Low-Dimensional Spectral Truncations for Taylor-Couette Flow....Pages 43-50
The Couette Taylor Problem in the Small Gap Approximation....Pages 51-57
Structure of Taylor Vortex Flow and the Influence of Spatial Amplitude Variations on Phase Dynamics....Pages 59-66
Chaotic Phase Diffusion through the Interaction of Phase Slip Processes....Pages 67-73
Phase Dynamics in the Taylor-Couette System....Pages 75-81
Spiral Vortices in Finite Cylinders....Pages 83-90
A Model of the Disappearance of Time-Dependence in the Flow Pattern in the Taylor-Dean System....Pages 91-97
End Circulation in Non Axisymmetrical Flows....Pages 99-106
Bifurcation Phenomena in Taylor-Couette Flow Subject to a Coriolis Force....Pages 107-119
Instability of Taylor-Couette Flow Subjected to a Coriolis Force....Pages 121-129
Bifurcations to Dynamic States in Taylor-Couette Flow with External Rotation....Pages 131-140
On the Stability of Taylor-Couette Flow Subjected to External Rotation....Pages 141-148
Numerical Simulation of Turbulent Taylor Couette Flow....Pages 149-157
Intermittent Turbulence in Plane and Circular Couette Flow....Pages 159-166
On the Eckhaus and the Benjamin-Feir Instabilty in the Vicinity of a Tricritical Point....Pages 167-172
Phase VS. Defect Turbulence in the 1D Complex Ginzburg-Landau Equation....Pages 173-177
Double Eigenvalues and the Formation of Flow Patterns....Pages 179-186
The Effect of Trhoughflow on Rayleigh Bernard Convective Rolls....Pages 187-196
Taylor Vortex Flow with Superimposed Radial Mass Flux....Pages 197-203
Vortex Patterns between Cones and Cylinders....Pages 205-211
Instability of Taylor-Couette Flow of Helium II....Pages 213-219
Effects of Radial Temperature Gradient on MHD Stability of Couette Flow between Conducting Cylinders - A Wide Gap Problem....Pages 221-243
Structure and Perturbation in Görtler Vortex Flow....Pages 245-251
Transition to Turbulence in Görtler Flow....Pages 253-261
Effect of Curvature Plane Orientation on Vortex Distortion in Curved Channel Flow....Pages 263-272
Splitting, Merging and Wavelength Selection of Vortex Pairs in Curved and/or Rotating Channels....Pages 273-280
Transient, Oscillatory and Steady Characteristics of Dean Vortex Pairs in a Curved Rectangular Channel....Pages 281-288
On the Subharmonic Instability of Finite-Amplitude Longitudinal Vortex Rolls in Inclined Free Convection Boundary Layers....Pages 289-296
Centrifugal Instabilities in Rotating Frame about Flow Axis....Pages 297-301
A Guide to Literature Related to the Taylor-Couette Problem....Pages 303-354
Back Matter....Pages 355-357

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 TaylorƯ 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 TaylorƯ 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

2013-08-01