Combined Effect of Magnetic field and Internal Heat Generation on the Onset of Marangoni Convection

摘要

Marangoni convection in a horizontal layer with a uniform internal heat source and vertical magnetic field is analyzed. The boundaries are considered to be rigid, however permeable, and insulated to temperature perturbations. The upper surface of a fluid layer is deformably free. The eigen value equations of the perturbed state obtained from the normal mode analysis are solved by using regular perturbation method with a as wave number. The results show that the critical Marangoni number M_c become larger as the Chandrasekhar number Q increases, internal heat source and the Crispation number Cr decreases.