Volume No. :   3

Issue No. :  2

Year :  2012

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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Effect of Rotation on the Onset of Compressible Rivlin-Ericksen Fluid Heated from Below Saturating a Darcy-Brinkman Porous Medium



Address:   G. C. Rana1*, Ramesh Chand2
1Department of Mathematics, NSCBM Govt. P. G. College, Hamirpur-177 005, Himachal Pradesh, India
2Department of Mathematics, Govt. P. G. College, Dhaliara-177 103, Himachal Pradesh, INDIA
*Corresponding Author
DOI No:

ABSTRACT:
The effect of rotation on the onset of convection in compressible Rivlin-Ericksen elastico-viscous fluid heated from below saturating a porous medium is considered. For the porous medium, the Brinkman model is employed. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the medium permeability, compressibility, gravity field and viscoelasticity introduce oscillatory modes. For stationary convection, the rotation has stabilizing effect whereas Darcy number and medium permeability have destabilizing/stabilizing effect on the system under certain conditions. The effects of rotation, Darcy number and medium permeability have also been shown graphically.
KEYWORDS:
Rivlin-Ericksen fluid, Thermal convection, Viscoelasticity, Rotation, Brinkman-porous medium.
Cite:
G. C. Rana, Ramesh Chand. Effect of Rotation on the Onset of Compressible Rivlin-Ericksen Fluid Heated from Below Saturating a Darcy-Brinkman Porous Medium. Research J. Engineering and Tech. 3(2): April-June 2012 page 76-81.
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