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A note on the application of a radiation condition for a source in a rotating stratified fluid

Rao, A Ramachandra (1973) A note on the application of a radiation condition for a source in a rotating stratified fluid. In: Journal of Fluid Mechanics, 58 (1). pp. 161-164.

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Abstract

The motion due to an oscillatory point source in a rotating stratified fluid has been studied by Sarma & Naidu (1972) by using threefold Fourier transforms. The solution obtained by them in the hyperbolic case is wrong since they did not make use of any radiation condition, which is always necessary to get the correct solution. Whenever the motion is created by a source, the condition of radiation is that the sources must remain sources, not sinks of energy and no energy may be radiated from infinity into the prescribed singularities of the field. The purpose of the present note is to explain how Lighthill's (1960) radiation condition can be applied in the hyperbolic case to pick the correct solution. Further, the solution thus obtained is reiterated by an alternative procedure using Sommerfeld's (1964) radiation condition.

Item Type: Journal Article
Additional Information: Copy right of this article belongs to Cambridge University Press.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 18 Jan 2010 09:59
Last Modified: 18 Jan 2010 09:59
URI: http://eprints.iisc.ernet.in/id/eprint/23408

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