Volume No. :   3

Issue No. :  2

Year :  2012

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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Global Stability of a Couple-Stress Fluid in a Porous Medium Using a Thermal Non-Equilibrium Model



Address:   Sunil1*, Reeta Devi1 and Divya Sharma2
1Department of Mathematics, National Institute of Technology, Hamirpur, H.P., India
2Department of Mathematics, Govt. College Sujanpur, Distt. Hamirpur, H.P., India
*Corresponding Author
DOI No:

ABSTRACT:
We show that the global nonlinear stability threshold for convection in a couple stress fluid with a thermal non-equilibrium model is exactly the same as the linear instability boundary. This optimal result is important because it shows that linearized instability theory has captured completely the physics of the onset of convection. It is also found that the couple stress fluid is more stable than the ordinary viscous fluid and then the effects of couple stress parameter, interface heat transfer coefficient, Darcy-Brinkman number and porosity modified conductivity ratio on the onset of convection have been investigated. Asymptotic analysis for both small and large values of interface heat transfer coefficient is also presented. An excellent agreement is found between the exact solutions and asymptotic solutions.
KEYWORDS:
Couple-stress fluid, porous medium, global stability, thermal non-equilibrium model.
Cite:
Sunil, Reeta Devi, Divya Sharma. Global Stability of a Couple-Stress Fluid in a Porous Medium Using a Thermal Non-Equilibrium Model. Research J. Engineering and Tech. 3(2): April-June 2012 page 56-67.
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