Journal of Fluid Mechanics

On an oscillatory point force in a rotating stratified fluid

Adabala Ramachandra  Rao a1
a1 Department of Applied Mathematics, Indian Institute of Science, Bangalore 560012

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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.

(Published Online March 29 2006)
(Received November 29 1974)