The problem of Benard-Magneto-Surface tension driven convection in a composite layer which is infinitely long in horizontal directions, is considered for the Darcian case in the presence of invariable heat source/sink in both the layers. This composite layer is subjected to uniform and non-uniform temperature gradients. The eigenvalue and thermal Marangoni number are obtained in closed form with the lower isothermal surface rigid and upper adiabatic surface free with surface tension effects for the velocity boundary combinations. The influence of various parameters on the eigenvalue against thermal ratio is discussed. It is observed that the effect of heat source/sink in the fluid layer is dominant on the eigenvalue over the same in the porous layer. The important parameters that manipulate (advance or delay) convection are determined.

heat source (sink), Darcian-Benard, thermal ratio, magnetoconvection, eigenvalue problem, adiabatic and isothermal boundaries.