Steady axisymmetric vortex flows with swirl and shear

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Issue Date
2008-10
Authors
Elcrat, Alan R.
Fornberg, Bengt
Miller, Kenneth G.
Advisor
Citation

ALAN R. ELCRAT, BENGT FORNBERG and KENNETH G. MILLER (2008). Steady axisymmetric vortex flows with swirl and shear. Journal of Fluid Mechanics, 613, pp 395-410 doi:10.1017/S002211200800342X

Abstract

A general procedure is presented for computing axisymmetric swirling vortices which are steady with respect to an inviscid flow that is either uniform at infinity or includes shear. We consider cases both with and without a spherical obstacle. Choices of numerical parameters are given which yield vortex rings with swirl, attached vortices with swirl analogous to spherical vortices found by Moffatt, tubes of vorticity extending to infinity and Beltrami flows. When there is a spherical obstacle we have found multiple solutions for each set of parameters. Flows are found by numerically solving the Bragg–Hawthorne equation using a non-Newton-based iterative procedure which is robust in its dependence on an initial guess.

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