Outcomes of uniform as well non-uniform temperature profiles that is linear, parabolic, inverted Piecewise Linear Profile Heated from Below (PLHB), Cooled Above (PLCA) and Step Function (SF) profile on the onset Double Diffusive Magneto-Darcy-Rayleigh-Benard (DDMDRB) Convection in a two layer set up presence Local Thermal Non-Equilibrium with incompressible fluid horizontally surrounded by adia...

Layek and Pati (Phys. Lett. A, 2017) studied a nonlinear system of five coupled equations, which describe thermal relaxation in Rayleigh-Benard convection Boussinesq fluid layer, heated from below. Here we return to that paper use techniques dynamical systems theory analyse the codimension-one Hopf bifurcation codimension-two double-zero Bogdanov-Takens bifurcation....

In recent experiments on the initial stages of pattern formation in a Rayleigh Benard convection cell, Meyer e t al. I1) observed very irregular patterns. In these experiments, the fluid was subjected to a heat current that varied either linearly or periodically in time from below to above the onset of the first instability. If the side wall of the cylindrical cell was made of a material with a...

The qualitative effect of nonuniform temperature gradient on the linear stability analysis of the Rayleigh-Benard convection problem in a Boussinesquian, viscoelastic fluid-filled, high-porosity medium is studied numerically using the single-term Galerkin technique. The eigenvalue is obtained for free-free, free-rigid, and rigid-rigid boundary combinations with isothermal temperature conditions...