Volume No. :   6

Issue No. :  1

Year :  2015

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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Stability analysis in a rotating couple-stress fluid heated from below saturating a porous medium with temperature-pressure dependent viscosity



Address:   Reeta Devi1*, Sunil2
1Department of Mathematics, Govt. Degree College, Sarkaghat, District. Mandi, HP 175024, India
2Department of Mathematics, National Institute of Technology, Hamirpur, HP 177005, India
*Corresponding Author’s
DOI No: 10.5958/2321-581X.2015.00013.6

ABSTRACT:
Stability analysis is performed for a rotating couple-stress fluid heated from below saturating a porous medium with temperature-pressure dependent viscosity for free-free, rigid-free and rigid-rigid conducting boundary systems. Here, the non-linear stability threshold for convection 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. The eigenvalue problems for different conducting boundary systems are solved by using Galerkin method. The effects of couple-stress parameter , Darcy-Brinkman number , variable dependent viscosity and Taylor number on the onset of convection are also analyzed. Couple- stresses, rotations and medium permeability promote stabilization whereas the variable viscosity destabilizes the system.
KEYWORDS:
Couple-stress fluid; Porous medium; Stability analysis; Temperature-pressure dependent viscosity; Different conducting boundaries (free-free, rigid-free, rigid-rigid)
Cite:
Reeta Devi, Sunil. Stability analysis in a rotating couple-stress fluid heated from below saturating a porous medium with temperature-pressure dependent viscosity. Research J. Engineering and Tech. 6(1): Jan.-Mar. 2015 page 79-94.
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