Mathematical modelling of MHD free convection flow of water at 4°C through a porous medium by a moving vertical plate

Mathematical modelling of the two-dimensional magnetohydrodynamic (MHD) free convection of water at 4 °C through a moving vertical plate is discussed. It is a system of coupled nonlinear differential equations being solved by He’s homotopy perturbation method (HPM). The analytical expression of the concentration of velocity and temperature profiles are obtained in terms of experimental parameters. The physical parameters have been conducted a set of results for the velocity, temperature, and skin – friction has been illustrated graphically. The effect of various values of the parameters on the concentrations and is discussed.