• EFFECT OF INTERNAL HEAT GENERATION ON THE ONSET OF BERNARD-MARANGONI CONVECTION IN A MAGNETIC FIELD

Abstract

This article theoretically studies the onset of Penetrative Benard-Marangoni convection in a horizontal layer with a uniform magnetic field are applied. The top surface of a fluid layer is deformably free and the bottom is rigid. The boundaries are considered to be rigid, however permeable, and insulated to temperature perturbations. By means of the linear stability theory and a normal mode analysis, the eigen value equations of the perturbed state are solved by using the Regular perturbation technique with wave number as  perturbation parameter. The results indicate that the both critical Marangoni number M_c and critical Rayleigh number R_c increases with increasing the Chandrasekhar number Q , but decreases with increasing the Crispation number Cr and internal heat source strength. Also, the effect of the other various physical parameters on the control of convection is analysed in detail.