CENTRIFUGAL INSTABILITY OF A STOKES LAYER: LINEAR THEORY

G. Seminara; P. Hall

doi:10.1098/rspa.1976.0109

CENTRIFUGAL INSTABILITY OF A STOKES LAYER: LINEAR THEORY

G. Seminara, P. Hall

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

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Abstract

The instability of the flow induced by a circular cylinder oscillating in an infinite viscous fluid is investigated. The flow is shown to be unstable to a Taylor vortex mode of instability. A series solution of the partial differential system governing the stability of the flow is obtained. The method used has several advantages over the numerical methods used by different authors for related problems. The instability predicted by the theory leads to a flow with no mean velocity component tangential to the cylinders.

Original language	English
Pages (from-to)	299-316
Number of pages	18
Journal	Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences
Volume	350
Issue number	1662
DOIs	https://doi.org/10.1098/rspa.1976.0109
Publication status	Published - 1 Jan 1976
Externally published	Yes

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abstract = "The instability of the flow induced by a circular cylinder oscillating in an infinite viscous fluid is investigated. The flow is shown to be unstable to a Taylor vortex mode of instability. A series solution of the partial differential system governing the stability of the flow is obtained. The method used has several advantages over the numerical methods used by different authors for related problems. The instability predicted by the theory leads to a flow with no mean velocity component tangential to the cylinders.",

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AU - Hall, P.

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N2 - The instability of the flow induced by a circular cylinder oscillating in an infinite viscous fluid is investigated. The flow is shown to be unstable to a Taylor vortex mode of instability. A series solution of the partial differential system governing the stability of the flow is obtained. The method used has several advantages over the numerical methods used by different authors for related problems. The instability predicted by the theory leads to a flow with no mean velocity component tangential to the cylinders.

AB - The instability of the flow induced by a circular cylinder oscillating in an infinite viscous fluid is investigated. The flow is shown to be unstable to a Taylor vortex mode of instability. A series solution of the partial differential system governing the stability of the flow is obtained. The method used has several advantages over the numerical methods used by different authors for related problems. The instability predicted by the theory leads to a flow with no mean velocity component tangential to the cylinders.

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CENTRIFUGAL INSTABILITY OF A STOKES LAYER: LINEAR THEORY

Abstract

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