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On the Characterization of Nonoscillatory Motions in Maxwell Fluid in a Porous Medium Heated from Below


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1 Department of Mathematics and Statistics, Himachal Pradesh University, Shimla – 171005, India
     

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In the present paper condition for characterizing nonoscillatory motions which may be neutral or unstable in a horizontal layer of Maxwell fluid in a porous medium (modified Darcy-Brinkman-Maxwell Model) heated from below is obtained. It is proved that for a horizontal layer of Maxwell fluid in a porous medium heated from below an arbitrary neutral or unstable mode of the system is definitely nonoscillatory in character and in particular the ‘ principle of the exchange of stabilities’ is valid if (RλP_r)/4∏ ∧ 2≤ 1. The result is uniformly valid for all combinations of free and rigid boundaries.

Keywords

Maxwell Fluid, Oscillatory Motions, Thermal Convection, Porous Media, Modified – Darcy - Brinkman – Maxwell Model.
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  • On the Characterization of Nonoscillatory Motions in Maxwell Fluid in a Porous Medium Heated from Below

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Authors

Jyoti Prakash
Department of Mathematics and Statistics, Himachal Pradesh University, Shimla – 171005, India
Renu Bala
Department of Mathematics and Statistics, Himachal Pradesh University, Shimla – 171005, India

Abstract


In the present paper condition for characterizing nonoscillatory motions which may be neutral or unstable in a horizontal layer of Maxwell fluid in a porous medium (modified Darcy-Brinkman-Maxwell Model) heated from below is obtained. It is proved that for a horizontal layer of Maxwell fluid in a porous medium heated from below an arbitrary neutral or unstable mode of the system is definitely nonoscillatory in character and in particular the ‘ principle of the exchange of stabilities’ is valid if (RλP_r)/4∏ ∧ 2≤ 1. The result is uniformly valid for all combinations of free and rigid boundaries.

Keywords


Maxwell Fluid, Oscillatory Motions, Thermal Convection, Porous Media, Modified – Darcy - Brinkman – Maxwell Model.

References