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Motion of an axisymmetric body in a rotating stratified fluid confined between two parallel planes

Published online by Cambridge University Press:  29 March 2006

D. V. Krishna  and
L. V. Sarma
D. V. Krishna
Affiliation:
Department of Mathematics, Indian Institute of Technology, Madras–36
L. V. Sarma
Affiliation:
Department of Mathematics, Indian Institute of Technology, Madras–36
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Abstract

We consider here the flow due to the oscillation of a slender oblate spheroid in a non-homogeneous, rotating fluid confined between two parallel planes which are perpendicular to the (vertical) axis of rotation. The direction of oscillation of the spheroid is perpendicular to the axis of rotation. By solving a set of dual integrals the steady-state solution is obtained in the two cases when the plates are at an infinite distance from the body and when they are at a large but finite distance. The singular or discontinuous surfaces observed in the case of homogeneous fluid are absent here. Also, the steady-state velocity is no longer independent of the distance along the axis of rotation. The velocity has now a vertical gradient, an important feature in the case of stratified fluid. It is also found that the presence of the plane boundaries increases the force on the body.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 38 , Issue 4 , 6 October 1969 , pp. 833 - 842
Copyright
© 1969 Cambridge University Press

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