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Two-dimensional vortex-dipole interactions in a stratified fluid

Published online by Cambridge University Press:  26 April 2006

S. I. Voropayev  and
Ya. D. Afanasyev
S. I. Voropayev
Affiliation:
Institute of Oceanology, USSR Academy of Sciences, Krasikova 23, Moscow 117218, USSR
Ya. D. Afanasyev
Affiliation:
Institute of Oceanology, USSR Academy of Sciences, Krasikova 23, Moscow 117218, USSR
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Abstract

Planar motion produced when a viscous fluid is forced from an initial state of rest is studied. We consider a vortex dipole produced by the action of a point force (Cantwell 1986), and a vortex quadrupole produced by the action of two equal forces of opposite direction. We also present results from an experimental investigation into the dynamics of the interactions between vortex dipoles as well as between vortex dipoles and a vertical wall in a stratified fluid. Theoretical consideration reveals that the dynamics of two-dimensional vortex-dipole interactions are determined by two main governing parameters: the dipolar intensity of the vorticity distribution (momentum) and the quadrupolar intensity of the vorticity distribution of the flow. We document details of different basic types of interactions and present a physical interpretation of the results obtained in terms of vortex multipoles: dipoles, quadrupoles and their combinations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 236 , March 1992 , pp. 665 - 689
Copyright
© 1992 Cambridge University Press

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