Research Journal of Science and Technology

Jyoti Prakash ¹, Shweta Manan ², Vinod Kumar

Affiliations
1 Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, IN
2 Department of Physics, MLSM College, Sundernagar, H. P., IN

Abstract

The present paper deals with the problem of triply diffusive convection analogous to Stern type in porous medium using Darcy-Brinkman model. Bounds are obtained for the complex growth rate of an arbitrary oscillatory perturbation of growing amplitude, neutral or unstable for this configuration which is uniformly valid for any combination of bounding surfaces.

Keywords

Triply Diffusive Convection, Concentration Rayleigh Number, Porous Medium, Darcy-Brinkman Model.

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Jyoti Prakash ¹, Pankaj Kumar ¹, Shweta Manan ¹

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

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.

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