Volume No. :   3

Issue No. :  2

Year :  2012

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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Global stability for thermal convection in a rotating couple-stress fluid saturating a porous medium



Address:   Sunil* and Shalu Choudhary
Department of Mathematics, National Institute of Technology, Hamirpur, H.P., India
*Corresponding Author
DOI No:

ABSTRACT:
We show that the global nonlinear stability threshold for rotating in a couple-stress fluid heated from below saturating a porous medium is exactly the same as the linear instability boundary. The 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 couple-stress fluid saturating a porous medium is thermally more stable than the ordinary viscous fluid and the effect of couple-stress parameter, medium permeability, rotation, and Darcy number on the onset of convection is also analyzed.
KEYWORDS:
Couple-stress fluid, global stability, porous medium, rotation..
Cite:
Sunil, Shalu Choudhary. Global stability for thermal convection in a rotating couple-stress fluid saturating a porous medium. Research J. Engineering and Tech. 3(2): April-June 2012 page 82-91.
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