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Spin-up of a source-sink driven flow in a two-layer rotating fluid

✍ Scribed by E. Maeland

Publisher: Springer
Year: 1982
Tongue: English
Weight: 524 KB
Volume: 16
Category: Article
ISSN: 0022-0833
DOI: 10.1007/bf00042719

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✦ Synopsis

In this paper the linearized spin-up process of a two-layer fluid in a rotating annulus is examined. The flow is induced by a source and a sink at the inner boundary of the annulus. The spin-up is controlled by the Ekmansuction velocity as well as the moving interface. On the assumption of vanishing small internal and external Froude numbers, the vorticity in each layer is a function of time only and can be expressed in terms of the hypergeometric functions. The components of the velocity can readily be deduced in terms of the vorticity. Some numerical results are given to illustrate the spin-up process.

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