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2 International Journal of Applied Mechanics and Engineering

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Variable gravity effects on thermal instability of nanofluid in anisotropic porous medium

Chand R., Rana G. C., Kumar S.

International Journal of Applied Mechanics and Engineering

2013

Vol. 18, no. 3

631--642

In this paper, we study the effects of variable gravity on thermal instability in a horizontal layer of a nanofluid in an anisotropic porous medium. Darcy model been used for the porous medium. Also, it incorporates the effect of Brownian motion along with thermophoresis. The normal mode technique is used to find the confinement between two free boundaries. The expression of the Rayleigh number has been derived, and the effects of variable gravity and anisotropic parameters on the Rayleigh number have been presented graphically.

Double diffusive convection in a high porosity anisotropic porous medium with externally regulated darcy and brinkman frictions

Siddheshwar P. G., Vanishree R. K.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 4

1147-1168

A linear stability analysis is performed on the double diffusive porous system using the Rayleigh-Ritz technique. The condition for direct and Hopf bifurcations is obtained as a function of the parameters of the problem. A unique feature in this problem is that Darcy and Brinkman friction are temperature-dependent and hence are amenable to regulation. The study reveals that this external regulation of convection results in a preference for stationary convection over oscillatory mode. A low-porosity medium results for "finger" and "diffusive" instabilities are also discussed in the case of constant viscosity liquids.