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Forced Oscillations of a Contained Rotating Stratified Fluid

Devanathan, R and Rao, AR (1973) Forced Oscillations of a Contained Rotating Stratified Fluid. In: Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), 53 (9). 617- 623.

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Official URL: http://www3.interscience.wiley.com/journal/1134861...


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.

Item Type: Journal Article
Additional Information: Copy right of this article belongs to John Wiley and Sons.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Mrs Swathi
Date Deposited: 08 Jan 2010 06:51
Last Modified: 08 Jan 2010 06:51
URI: http://eprints.iisc.ac.in/id/eprint/23017

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