The instability of steady flows generated by a vortex line in a stratifiedgas

Authors
Oganesyan, KV Ter-Krikorov, AM
Citation
Kv. Oganesyan et Am. Ter-krikorov, The instability of steady flows generated by a vortex line in a stratifiedgas, J APPL MA R, 63(3), 1999, pp. 449-451
Citations number
2
Categorie Soggetti
Mechanical Engineering
Journal title
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS
ISSN journal
00218928 → ACNP
Volume
63
Issue
3
Year of publication
1999
Pages
449 - 451
Database
ISI
SICI code
0021-8928(1999)63:3<449:TIOSFG>2.0.ZU;2-G
Abstract
The internal waves that arise in an ideal uniformly stratified gas due to a vertical vortex line are investigated. In the case of slow motion, when ac oustic oscillations can be neglected compared with buoyancy oscilliations, the problem reduces to solving a mixed problem for a non-linear third-order partial differential equation. A steady solution is found and in a linear approximation it is proved to be unstable. (C) 1999 Elsevier Science Ltd. A ll rights reserved.