Stability of the flow around a cylinder: The spin-up problem |
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Authors: | OTTO S R |
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Institution: |
Mathematics Department, Uniaversity of Manchester Oxford Road, Manchester M13 9PL, UK
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Abstract: | In this paper the evolution of vortical disturbances withina boundary layer occurring at a circular cylinder is discussed.As the body starts to spin around its generator a temporallygrowing layer results and the underlying centrifugal natureof this system allows Taylor-Görtler vortices to develop.The initiation of these modes is caused by axially symmetricwall imperfections, and so this constitutes a receptivity problem.For vortices of order one wavenumber a vortex wedge is formedand the final structure of this mode is determined by a right-handbranch calculation. The inviscid limit of the calculation isalso discussed and this may well be relevant to modes with orderone wavenumber introduced after the layer has partially evolved. |
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