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Asymptotic Analysis of Secondary Instabilities of Rotating Fluids
Author(s) -
Fabijonas B.,
Lifschitz A.
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199809)78:9<597::aid-zamm597>3.0.co;2-c
Subject(s) - inviscid flow , perturbation (astronomy) , physics , compressibility , instability , mechanics , classical mechanics , incompressible flow , flow (mathematics) , rotation (mathematics) , asymptotic analysis , mathematics , mathematical analysis , geometry , quantum mechanics
The stability of an inviscid, incompressible flow which is the combination of a modulated standing wave coupled to rigid body rotation is considered. This analysis can be viewed as a secondary perturbation of the rotating flow itself. We show that these flows are unstable with respect to 3D high frequency perturbations and examine some asymptotic regimes of this perturbation analysis.