THERMOSOLUTAL CONVECTION IN ROTATING BIDISPERSIVE POROUS MEDIA WITH GENERAL BOUNDARY CONDITIONS
Alaa Jabbar Badday, Akil J. Harfash
Abstract
The subject under study is the matter of double diffusive convection in a fluid-saturated bidispersive porous medium when the medium is rotating about an axis orthogonal to the layer in the direction of gravity. Nield and Kuznetsov's very interesting recent results are elaborated and scrutinised in detail, notably a wide range of temperature and salt boundary conditions which facilitate the combination of prescribed heat flux and temperature. The linear instability threshold will be shown to be the same as that of the nonlinear stability one if the layer is salted above. This indicates that the linear theory completely encapsulates the physics of the onset of thermal convection. The numerical solution has been carried out via the Chebyshev collocation method and the accuracy of this method has been checked. A detailed examination of the behaviour of the transition from stationary to oscillatory convection is also undertaken, as the boundary conditions vary from the prescribed temperature and salt concentration to those of prescribed heat flux and salt flux.