Rayleigh-benard-marangoni ferro convection with concentration and temperature dependent viscosity

Abstract

The inception of Rayleigh-Benard-Marangoni (RBM) Ferro convection with concentration and temperature dependent viscosity is investigated theoretically and the resultant is further enhanced numerically using Galerkin method. We observed that the effect of Rayleigh number together with internal heating suppressed the onset of RBM Ferro convection. The nonlinear nature of magnetic fluid parameter has no impact on the onset of Ferro convection. The latent values found numerically by Galerkin weighted Residual technique and regular perturbation technique are found to be alike, indicating the fact that the obtained solutions are near exact in nature. The result of the BC’s for lower and upper free rigid boundary at temperature dependent surface tension forces are found to be immaculately insulate to temperature perturbation.