Effect of Brinkman boundary layer on the onset of Marangoni convection in a fluid-saturated porous layer (Q1384765)

The authors employ linear stability analysis to study the effect of Brinkman boundary layer on the onset of convection driven by surface tension gradients (called Marangoni convection) in a thin horizontal fluid-saturated sparsely packed porous layer bounded by adiabatic free boundaries. For small values of the porosity parameter, single-term Galerkin expansion technique is found to work well. However, for large values of the porosity parameter, the method of matched asymptotic expansions must be employed.