INSTABILITY OF ROTATIONAL AND GRAVITATIONAL MODES OF OSCILLATION

The problem of dynamic stability of small amplitude motions on a two-fluid system with a free surface is considered. For the case of no rotation the character of the Kelvin-Helmholtz instability is remarkably different as compared to systems where the external gravitational modes are absent either t...

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Bibliographic Details
Main Authors: Simons,T. J, Rao,Desiraju B
Format: Report
Language:English
Subjects:
ATMOSPHERIC MOTION
Atmospheric Physics
Fluid Mechanics
GRAVITY
HYDRODYNAMICS
INTERACTIONS
MATHEMATICAL MODELS
OSCILLATION
STABILITY
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Summary:The problem of dynamic stability of small amplitude motions on a two-fluid system with a free surface is considered. For the case of no rotation the character of the Kelvin-Helmholtz instability is remarkably different as compared to systems where the external gravitational modes are absent either through the mechanism of filtering or by imposing a rigid top. In the case of a constant rotation, it is shown that the instabilities on a wave length - shear plane consist of regions where only the gravitational modes or only the rotational modes or both independently are unstable, in addition to regions where instabilities are generated by an interaction between the gravitational and rotational modes. (Author)