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Vortex Motion in a Weak Background Shear Flow


Bajer, K and Bassom, AP and Gilbert, AD, Vortex Motion in a Weak Background Shear Flow, Journal of Fluid Mechanics, 509 pp. 281-304. ISSN 0022-1120 (2004) [Refereed Article]

Copyright Statement

Copyright 2004 Cambridge University Press

DOI: doi:10.1017/S0022112004009395


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.

Item Details

Item Type:Refereed Article
Keywords:Approximation theory; Computer simulation; Fluid mechanics; Reynolds number; Vortex flow
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:107117
Year Published:2004
Web of Science® Times Cited:4
Deposited By:Mathematics and Physics
Deposited On:2016-03-04
Last Modified:2016-07-08

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