International Journal of Technology
  • Year: 2016
  • Volume: 6
  • Issue: 2

On Rotatory Hydrodynamic Triply Diffusive Convection in Porous Medium

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

*Corresponding Author Email: jpsmaths67@gmail.com, goputhakur1988@gmail.com

Online published on 2 February, 2017.

Abstract

Condition for characterizing nonoscillatory motions, which may be neutral or unstable, for rotatory hydrodynamic triply diffusive convection in a porous medium is derived. It is analytically proved that the principle of the exchange of stabilities, in rotatory triply diffusive convection in a porous medium, is valid in the regime where R1 and R2 are the concentration Raleigh numbers, and τ1 and τ2 are the Lewis numbers for the two concentration components respectively, Ta is the Taylor number, σ is the Prandtlnumber, Da is the Darcy number, E1 and E2 are constants.

Keywords

Triply diffusive convection, Porous medium, Darcy-Brinkman model, the principle of the exchange of stabilities, Taylor number, Concentration Rayleigh number