CENTRIFUGAL INSTABILITY OF A STOKES LAYER: NONLINEAR THEORY

G. Seminara; P. Hall

doi:10.1098/rspa.1977.0059

CENTRIFUGAL INSTABILITY OF A STOKES LAYER: NONLINEAR THEORY

G. Seminara, P. Hall

Research output: Contribution to journal › Article › Research › peer-review

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Abstract

It has recently been shown by Seminara & Hall that a Stokes layer on an oscillating circular cylinder is unstable according to linear theory when the frequency of oscillation exceeds a certain critical value. In this paper it is shown how nonlinear effects prevent the exponential growth of disturbances when this frequency is exceeded. The flow obtained in the supercritical regime is found to be synchronous with the basic flow.

Original language	English
Pages (from-to)	119-126
Number of pages	8
Journal	Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences
Volume	354
Issue number	1676
DOIs	https://doi.org/10.1098/rspa.1977.0059
Publication status	Published - 1 Jan 1977
Externally published	Yes

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abstract = "It has recently been shown by Seminara & Hall that a Stokes layer on an oscillating circular cylinder is unstable according to linear theory when the frequency of oscillation exceeds a certain critical value. In this paper it is shown how nonlinear effects prevent the exponential growth of disturbances when this frequency is exceeded. The flow obtained in the supercritical regime is found to be synchronous with the basic flow.",

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year = "1977",

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AU - Hall, P.

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N2 - It has recently been shown by Seminara & Hall that a Stokes layer on an oscillating circular cylinder is unstable according to linear theory when the frequency of oscillation exceeds a certain critical value. In this paper it is shown how nonlinear effects prevent the exponential growth of disturbances when this frequency is exceeded. The flow obtained in the supercritical regime is found to be synchronous with the basic flow.

AB - It has recently been shown by Seminara & Hall that a Stokes layer on an oscillating circular cylinder is unstable according to linear theory when the frequency of oscillation exceeds a certain critical value. In this paper it is shown how nonlinear effects prevent the exponential growth of disturbances when this frequency is exceeded. The flow obtained in the supercritical regime is found to be synchronous with the basic flow.

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U2 - 10.1098/rspa.1977.0059

DO - 10.1098/rspa.1977.0059

M3 - Article

AN - SCOPUS:0017478825

SN - 0080-4630

VL - 354

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EP - 126

JO - Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences

JF - Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences

IS - 1676

ER -

CENTRIFUGAL INSTABILITY OF A STOKES LAYER: NONLINEAR THEORY

Abstract

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