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Journal of Porous Media
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ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v19.i10.30
pages 871-883

TRIPLE DIFFUSIVE CONVECTION IN A MAXWELL FLUID SATURATED POROUS LAYER: DARCY- BRINKMAN-MAXWELL MODEL

Jyoti Prakash
Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India
Kultaran Kumari
Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla 171005, India
Rajeev Kumar
Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India; Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla 171005, India

要約

The onset of convective instability is analyzed in a triply diffusive Maxwell fluid saturated porous layer (using the Darcy-Brinkman-Maxwell model) in which density depends on three stratifying agencies (one of them is heat) having different diffusivities. Two problems have been analyzed mathematically. In the first problem, a sufficient condition is derived for the validity of the principle of the exchange of stabilities. Further, when the complement of this condition holds good, oscillatory motions of neutral or growing amplitude can exist. Thus as a second problem bounds for the complex growth rate are also obtained. The above results are uniformly valid for the quite general nature of the bounding surfaces.


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