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A general theory of curved vortices with circular cross-section and variable core area

Published online by Cambridge University Press:  26 April 2006

J. S. Marshall
J. S. Marshall
Affiliation:
Department of Ocean Engineering, Florida Atlantic University, Boca Raton, FL 33431, USA
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Abstract

A theory is derived for general motions of an inviscid vortex with circular crosssection and variable core area using a directed filament model of the vortex. The theory reduces in special cases to any of several previous vortex theories in the literature, but it is better suited than previous theories for handling nonlinear areavarying waves on the vortex core. Jump conditions across points of discontinuity and a variational form of the theory are also given. The theory is applied to obtain new solutions for several fundamental problems in vortex dynamics related to axisymmetric solitary waves on a vortex core, axisymmetric and helical vortex breakdowns and the buckling of a columnar vortex under compression.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 229 , August 1991 , pp. 311 - 338
Copyright
© 1991 Cambridge University Press

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