The spiral wind-up of vorticity in an inviscid planar vortex

DSpace/Manakin Repository

Open Research Exeter (ORE)

The spiral wind-up of vorticity in an inviscid planar vortex

Show simple item record

dc.contributor.author Bassom, Andrew P. en_GB
dc.contributor.author Gilbert, Andrew D. en_GB
dc.contributor.department University of Exeter en_GB
dc.date.accessioned 2009-03-18T15:12:05Z en_GB
dc.date.accessioned 2011-01-25T10:33:45Z en_US
dc.date.accessioned 2013-03-20T12:28:39Z
dc.date.issued 1998 en_GB
dc.description.abstract The relaxation of a smooth two-dimensional vortex to axisymmetry, also known as `axisymmetrization', is studied asymptotically and numerically. The vortex is perturbed at t = 0 and differential rotation leads to the wind-up of vorticity fluctuations to forma spiral. It is shown that for infinite Reynolds number and in the linear approximation, the vorticity distribution tends to axisymmetry in a weak or coarse-grained sense: when the vorticity field is integrated against a smooth test function the result decays asymptotically as t−λ with λ = 1 + (n2 + 8)1/2, where n is the azimuthal wavenumber of the perturbation and n ≥1. The far-field stream function of the perturbation decays with the same exponent. To obtain these results the paper develops a complete asymptotic picture of the linear evolution of vorticity fluctuations for large times t, which is based on that of Lundgren (1982). en_GB
dc.identifier.citation Vol. 371, pp. 109-140 en_GB
dc.identifier.doi 10.1017/S0022112098001955 en_GB
dc.identifier.uri http://hdl.handle.net/10036/56333 en_GB
dc.language.iso en en_GB
dc.publisher Cambridge University Press en_GB
dc.relation.url http://www.journals.cambridge.org/abstract_S0022112098001955 en_GB
dc.title The spiral wind-up of vorticity in an inviscid planar vortex en_GB
dc.type Article en_GB
dc.date.available 2009-03-18T15:12:05Z en_GB
dc.date.available 2011-01-25T10:33:45Z en_US
dc.date.available 2013-03-20T12:28:39Z
dc.identifier.issn 0022-1120 en_GB
dc.identifier.issn 1469-7645 en_GB
dc.description Copyright © 1998 Cambridge University Press. Published version reproduced with the permission of the publisher. en_GB
dc.identifier.journal Journal of Fluid Mechanics en_GB


Files in this item

Files Size Format View
spiral wind-up of vorticity.pdf 549.9Kb PDF Thumbnail

This item appears in the following Collection(s)

Show simple item record

Browse

My Account

Local Links