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Forced Oscillations of a Contained Rotating Stratified Fluid
Author(s) -
Devanathan R.,
Rao A. R.
Publication year - 1973
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/zamm.19730530907
Subject(s) - inviscid flow , inertia , forcing (mathematics) , physics , turbulence , compressibility , internal wave , stratified flow , classical mechanics , mechanics , stratified flows , normal mode , boussinesq approximation (buoyancy) , vibration , acoustics , atmospheric sciences , convection , natural convection , rayleigh number
The motion generated by forced oscillations in an incompressible inviscid rotating and/or stratified fluid is examined under linear theory taking the density variation on the inertia terms. The solution consists of numerous internal modes in addition to the mode which oscillates with forcing frequency. Resonance occurs when the forcing frequency is equal to one of the frequencies of the internal modes. Some of these modes grow linearly or exponentially with time rendering the motion unstable and eventually may lead to turbulence. Most of the results discussed here will be missed under Boussinesq approximation.