The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow

Moore, D. W. and Saffman, P. G. and Tanveer, S. (1988) The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow. Physics of Fluids, 31 (5). pp. 978-990. ISSN 0031-9171. https://resolver.caltech.edu/CaltechAUTHORS:MOOpof88

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Abstract

Steady, inviscid, incompressible, two-dimensional flows with vortex patches bounded by vortex sheets (Batchelor flows) are calculated numerically. Two particular cases are considered: the vortex on a plane wall (Sadovskii vortex) and the vortex in a right-angled corner. Nonlinear integral equations are derived for the shape of the bounding vortex sheet which are solved numerically. Two different formulations are employed to check the results. Previous results by Sadovskii [Appl. Math. Mech. 35, 773 (1971)] and Chernyshenko (Royal Aircraft Establishment library translations Report No. 2133, 1983) for specific values of the parameters are confirmed. Only symmetrical solutions are found to exist.

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Article

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URL	URL Type	Description
https://doi.org/10.1063/1.866718	DOI	UNSPECIFIED

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Subject Keywords:

LAMINAR FLOW, STEADY−STATE CONDITIONS, INCOMPRESSIBLE FLOW, IDEAL FLOW, VORTICES, NUMERICAL SOLUTION, NONLINEAR PROBLEMS, INTEGRAL EQUATIONS, ROTATION

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CaltechAUTHORS:MOOpof88

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https://resolver.caltech.edu/CaltechAUTHORS:MOOpof88

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10159

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CaltechAUTHORS

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Deposited On:

15 Apr 2008

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03 Oct 2019 00:07

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