Vortex motion in a weak background shear flow

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Vortex motion in a weak background shear flow

Please use this identifier to cite or link to this item: http://hdl.handle.net/10036/55954

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Title: Vortex motion in a weak background shear flow
Author: Bajer, Konrad
Bassom, Andrew P.
Gilbert, Andrew D.
Citation: Vol. 509, pp. 281-304
Publisher: Cambridge University Press
Journal: Journal of Fluid Mechanics
Date Issued: 2004
URI: http://hdl.handle.net/10036/55954
DOI: 10.1017/S0022112004009395
Links: http://dx.doi.org/10.1017/S0022112004009395 http://www.journals.cambridge.org/abstract_S0022112004009395
Abstract: A point vortex is introduced into a weak background vorticity gradient at finite Reynolds number. As the vortex spreads viscously so the background vorticity becomes wrapped around it, leading to enhanced diffusion of vorticity, but also giving a feedback on the vortex and causing it to move. This is investigated in the linear approximation, using a similarity solution for the advection of weak vorticity around the vortex, at finite and infinite Reynolds number. A logarithmic divergence in the far field requires the introduction of an outer length scale $L$ and asymptotic matching. In this way results are obtained for the motion of a vortex in a weak vorticity field modulated on the large scale $L$ and these are confirmed by means of numerical simulations.
Type: Article
Description: Copyright © 2004 Cambridge University Press. Published version reproduced with the permission of the publisher.
ISSN: 0022-11201469-7645


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