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The transition to wavy Taylor vortices

Published online by Cambridge University Press:  20 April 2006

C. A. Jones
C. A. Jones
Affiliation:
School of Mathematics, University of Newcastle-upon-Tyne. NE1 7RU
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Abstract

The transition from steady axisymmetric Taylor vortices to time-dependent wavy vortices is examined. The critical Taylor number and frequency at the transition point are determined in the infinite-cylinder approximation for a wide range of parameters. The results are compared with long-aspect-ratio experiments. The variation with axial wavelength is examined, and is found to be important when the radius ratio η < 0.75. A new spatially subharmonic mode is found to be the most unstable mode in some parameter regimes. This mode is identified with the jet mode recently discovered experimentally by Lorenzen, Pfister & Mullin and by Cole.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 157 , August 1985 , pp. 135 - 162
Copyright
© 1985 Cambridge University Press

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