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On an oscillatory point force in a rotating stratified fluid

Published online by Cambridge University Press:  29 March 2006

Adabala Ramachandra Rao
Adabala Ramachandra Rao
Affiliation:
Department of Applied Mathematics, Indian Institute of Science, Bangalore 560012
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Abstract

The forced oscillations due to a point forcing effect in an infinite or contained, inviscid, incompressible, rotating, stratified fluid are investigated taking into account the density variation in the inertia terms in the linearized equations of motion. The solutions are obtained in closed form using generalized Fourier transforms. Solutions are presented for a medium bounded by a finite cylinder when the oscillatory forcing effect is acting at a point on the axis of the cylinder. In both the unbounded and bounded case, there exist characteristic cones emanating from the point of application of the force on which either the pressure or its derivatives are discontinuous. The perfect resonance existing at certain frequencies in an unbounded or bounded homogeneous fluid is avoided in the case of a confined stratified fluid.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 72 , Issue 2 , 25 November 1975 , pp. 353 - 362
Copyright
© 1975 Cambridge University Press

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