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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.

Przepływ w szczelinach anizotropowego ośrodka porowatego

Kazieko H., Kazieko L.

Przegląd Naukowy Inżynieria i Kształtowanie Środowiska

2005

Vol. 14, No. 1

132--139

Flow in trapezoidal crack of anizotropic porous media is analysed. Flow modelling is based on Dupuite law assuming two-dimensional situation. A new equations for calculation of water discharge in open crack are proposed.