Published July 1, 1995
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Journal Article
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On the two-dimensional stability of the axisymmetric Burgers vortex
Abstract
The stability of the axisymmetric Burgers vortex solution of the Navier–Stokes equations to two-dimensional perturbations is studied numerically up to Reynolds numbers, R=Gamma/2pinu, of order 104. No unstable eigenmodes for azimuthal mode numbers n=1,..., 10 are found in this range of Reynolds numbers. Increasing the Reynolds number has a stabilizing effect on the vortex.
Additional Information
©1995 American Institute of Physics. (Received 28 December 1994; accepted 16 February 1995) Helpful discussions with P. G. Saffman and D. Crowdy are gratefully acknowledged. This research was partial supported by National Science Foundation Grant No. CTS-9311811.Files
PROpof95.pdf
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2006-04-03Created from EPrint's datestamp field
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