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On stability of Taylor vortices by fifth-order amplitude expansions

Published online by Cambridge University Press:  29 March 2006

P. M. Eagles
P. M. Eagles
Affiliation:
Department of Mathematics, The City University, St John Street, London, E.C.1
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Abstract

Davey, Di Prima & Stuart's (1968) double amplitude expansion for disturbances in flow between concentric cylinders is formulated in matrix notation. The stability of the secondary equilibrium (Taylor-vortex) flow is calculated using fifth-order terms in amplitude, and using the full equations rather than the small-gap approximation. Qualitative confirmation is found of instabilities to the Taylor-vortex flow to non-a.xisymmetric disturbances at about 10 % above the first critical Taylor number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 49 , Issue 3 , 15 October 1971 , pp. 529 - 550
Copyright
© 1971 Cambridge University Press

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References

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