Combined Impact of Internal Heating and Variable Viscosity on the Onset of Benard-Marangoni Double Diffusive Convection in a Binary Fluid Layer

The present article is to examine the joint influence of internal heating and variable viscosity on the onset of double diffusive convective motion using perturbation technique. Linear stability analysis is performed and it is assumed that the upper surface of a fluid layer is deformably free and that viscosity dependency is believed to be exponential. The boundaries are known to be rigid, but permeable, and insulated to fluctuations in temperature. From results of an increasing the viscosity parameter, the system shows destabilizing effect and the system will be stabilized by that internal heat source power. It is also revealed the influence of double diffusive coefficients. The effect of the thermal diffusion is found to have a destabilizing reaction on the system, whereas the opposite reaction is noted with an increase of thermodiffusion parameter.