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Doubly Diffusive Convection Due to a Point Source at Various Depths in a Stratified Fluid

Published online by Cambridge University Press:  05 May 2011

Chin-Hwa Kong*
Affiliation:
Department of Naval Architecture and Ocean Engineering, National Taiwan University, 73 Chow-Shan Rd., Taipei, Taiwan 106, R.O.C
Chi-Min Liu*
Affiliation:
Department of Naval Architecture and Ocean Engineering, National Taiwan University, 73 Chow-Shan Rd., Taipei, Taiwan 106, R.O.C
Ray-Yeng Yang*
Affiliation:
Tainan Hydraulics Laboratory, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C
*
*Professor
**Graduate Student
***Associate Researcher
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Abstract

The problem of a stable stratified fluid heated by a point source of heat at various depths is treated in this paper. A hot plume is formed with a series of layer around and above it. Quantitative estimates for the criterion of onset of doubly diffusive instability are obtained in this work. The linear differential system governing stability is then solved. The results show that the stationary onset of this doubly diffusive problem caused by a point source may be led to a similar form of small-gap Taylor- Couette problem.

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Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1999

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References

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