Research Journal of Science and Technology

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On the Occurrence of Stationary Convection in Triply Diffusive Convection in Porous Medium : Darcy Model


Affiliations
1 Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India
     

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The present paper mathematically establishes that 'the principle of the exchange of stabilities' for triply diffusive convection analogous to double diffusive convection of Stern type in porous medium (Darcy model) is valid in the regime |R|Aσ/2π4 ≤1, where Ris the Rayleigh number, σ is the thermal Prandtl number and Ais a porous parameter. It is further proved that the above result is uniformly valid for any combination of rigid and free boundaries.

Keywords

Triply Diffusive Convection, No Oscillatory Motions, Principle of the Exchange of Stabilities, Rayleigh Number, Porous Medium, Darcy Model.
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  • On the Occurrence of Stationary Convection in Triply Diffusive Convection in Porous Medium : Darcy Model

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Authors

Jyoti Prakash
Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India
Pankaj Kumar
Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India
Shweta Manan
Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India

Abstract


The present paper mathematically establishes that 'the principle of the exchange of stabilities' for triply diffusive convection analogous to double diffusive convection of Stern type in porous medium (Darcy model) is valid in the regime |R|Aσ/2π4 ≤1, where Ris the Rayleigh number, σ is the thermal Prandtl number and Ais a porous parameter. It is further proved that the above result is uniformly valid for any combination of rigid and free boundaries.

Keywords


Triply Diffusive Convection, No Oscillatory Motions, Principle of the Exchange of Stabilities, Rayleigh Number, Porous Medium, Darcy Model.