The transition to wavy Taylor vortices

Author:

Jones C. A.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference31 articles.

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2. Jones C. A. 1984 Numerical methods for the transition to wavy Taylor vortices. To appear inJ. Comp. Phys.

3. Cole J. A. 1983 The effect of cylinder radius ratio on wavy vortex onset. Proc. 3rd Taylor vortex flow working party (Nancy)pp.1–4.

4. Cole J. A. 1976 Taylor vortex instability and annulus length effects.J. Fluid Mech. 75,1–15.

5. Diprima R. C , Eagles, P. M. & Ng B. S. 1984 The effect of radius ratio on the stability of Couette flow and Taylor vortex flow. To appear inPhys. Fluids.

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