Restricted accessResearch articleFirst published online 2022-8
Soret and Dufour effects on thresholds of stability in a horizontal Brinkman porous layer submitted to vertical temperature and species gradients using linear and non-linear analysis
The present study deals with Soret and Dufour effects on the onset of double-diffusive natural convection in a horizontal Brinkman porous layer with a free-stress upper boundary. The thresholds of stationary, oscillatory, and subcritical bifurcations are derived on the basis of linear and non-linear analysis, as functions of the governing parameters. The effect of Dufour () and Soret parameters on the thresholds of instabilities is illustrated and discussed. There are critical combinations for which the thresholds of supercritical bifurcations are independent of the buoyancy ratio. Particularly, for and , the stationary convection starts at the threshold of the pure thermal convection whatever the value of the buoyancy ratio.
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