DARCY-BRINKMAN CONVECTION IN A COUPLE-STRESS FLUID SATURATED ROTATING POROUS LAYER USING THERMAL NON-EQUILIBRIUM MODEL

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Published: Nov 10, 2013

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Sridhar Kulkarni

Abstract

Stability of a rotating couple-stress fluid-saturated rotating porous layer when the fluid and solid phases are not in local thermal equilibrium is analysed. The Darcy -Brinkman model is used for the momentum equation and a two-field model that represents the fluid and solid phase temperature fields separately is used for energy equation. The linear stability analysis is used to obtain the condition for both stationary and oscillatory convection. The effect of thermal non-equilibrium on the onset of both stationary and oscillatory convection is discussed. It is found that inter-phase heat transfer coefficient stabilizes the system. There is a competition between the processes of rotation and thermal diffusion that causes the convection to set in through oscillatory mode rather than stationary. The rotation inhibits the onset of convection in both stationary and oscillatory mode.  Besides, the effect of porosity modified conductivity ratio, Darcy-Prandtl number, couple-stress parameter and the ratio of diffusivities on the stability of the system is investigated.

Keywords: local thermal non-equilibrium, couple-stress fluid, convection, rotation, Rayleigh number.

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How to Cite
Kulkarni, S. (2013). DARCY-BRINKMAN CONVECTION IN A COUPLE-STRESS FLUID SATURATED ROTATING POROUS LAYER USING THERMAL NON-EQUILIBRIUM MODEL. Journal of Global Research in Mathematical Archives(JGRMA), 1(8), 16–33. Retrieved from https://www.jgrma.com/index.php/jgrma/article/view/100
Issue
Vol. 1 No. 8 (2013): August-2013
Section
Research Paper

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