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Z. Naturforsch. 67a, 685 – 691
(2012)
doi:10.5560/ZNA.2012-0074
Dufour and Soret Effects on the Thermosolutal Instability of Rivlin–Ericksen Elastico–Viscous Fluid in Porous Medium
1 Department of Mathematics, Government P. G. College Dhaliara 177103, Himachal Pradesh, India
2 Department of Mathematics, NSCBM Govt. P. G. College Hamirpur 177005, Himachal Pradesh, India
Received February 13, 2012 / revised July 26, 2012 / published online September 19, 2012
Reprint requests to: R. C.; E-mail:
rameshnahan@yahoo.com
Dufour and Soret effects on the convection in a horizontal layer of Rivlin–Ericksen elastico–viscous fluid in porous medium are considered. For the porous medium, the Darcy model is used. A linear stability analysis based upon normal mode analysis is employed to find a solution of the fluid layer confined between two free boundaries. The onset criterion for stationary and oscillatory convection has been derived analytically, and graphs have been plotted, giving various numerical values to various parameters, to depict the stability characteristics. The effects of the Dufour parameter, Soret parameter, solutal Rayleigh number, and Lewis number on stationary convection have been investigated.
Key words: Thermosolutal Instability; Rivlin-Ericksen; Dufour; Soret Parameter.