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On the two-dimensional stability of the axisymmetric Burgers vortex

Prochazka, A. and Pullin, D. I. (1995) On the two-dimensional stability of the axisymmetric Burgers vortex. Physics of Fluids, 7 (7). pp. 1788-1790. ISSN 1070-6631. http://resolver.caltech.edu/CaltechAUTHORS:PROpof95

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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.


Item Type:Article
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.
Subject Keywords:VORTEX FLOW; INSTABILITY GROWTH RATES; NAVIER–STOKES EQUATIONS; EIGENSTATES; REYNOLDS NUMBER; TURBULENT FLOW; TRANSITION FLOW
Record Number:CaltechAUTHORS:PROpof95
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:PROpof95
Alternative URL:http://dx.doi.org/10.1063/1.868495
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2398
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:03 Apr 2006
Last Modified:26 Dec 2012 08:48

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