Time-dependent flows of rotating and stratified fluids in geometries with non-uniform cross-sections

Balan, KC and Devanathan, Rathna and Rao, A Ramachandra (1975) Time-dependent flows of rotating and stratified fluids in geometries with non-uniform cross-sections. In: Proceedings of the Indian Academy of Sciences Section - A, 82 (3). 101 -119.

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Abstract

Unsteady rotating and stratified flows in geometries with non-uniform cross-sections are investigated under Oseen approximation using Laplace transform technique. The solutions are obtained in closed form and they reveal that the flow remains oscillatory even after infinitely large time. The existence of inertial waves propagating in both positive and negative directions of the flow is observed. When the Rossby or Froude number is close to a certain infinite set of critical values the blocking and back flow occur and the flow pattern becomes more and more complicated with increasing number of stagnant zones when each critical value is crossed. The analogy that is observed in the solutions for rotating and stratified flows is also discussed.

Item Type:	Journal Article
Publication:	Proceedings of the Indian Academy of Sciences Section - A
Publisher:	Springer India, in co-publication with Indian Academy of Sciences
Additional Information:	Copyright of this article belongs to Indian Academy of Sciences.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	15 Jan 2010 11:50
Last Modified:	19 Sep 2010 05:48
URI:	http://eprints.iisc.ac.in/id/eprint/23934

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