Steady axisymmetric vortex flows with swirl and shear
Date
2008-10Author
Elcrat, Alan R.
Fornberg, Bengt
Miller, Kenneth G.
Metadata
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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.
Description
Archived in SOAR with the publisher's permission