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 |
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| 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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