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. doi:10.1063/1.868495. https://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. | ||||||
| Group: | GALCIT | ||||||
| Subject Keywords: | VORTEX FLOW; INSTABILITY GROWTH RATES; NAVIER–STOKES EQUATIONS; EIGENSTATES; REYNOLDS NUMBER; TURBULENT FLOW; TRANSITION FLOW | ||||||
| Issue or Number: | 7 | ||||||
| DOI: | 10.1063/1.868495 | ||||||
| Record Number: | CaltechAUTHORS:PROpof95 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:PROpof95 | ||||||
| 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: | 08 Nov 2021 19:47 |
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