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Received: 12 June 2019 Accepted: 3 September 2019 In this paper, homotopy analysis method with two auxiliary parameters is used to investigate heat and mass transfer flow past a vertical porous medium in the presence of heat source. Similarity transformation is adopted to transform the boundary-layer coupled non-linear partial differential equation to a system of coupled non-linear ordinary differential equation. The resulting equations are then solved analytically. The effect of various flow parameters on velocity, temperature and concentration profiles are presented graphically and discussed while the local skin-friction, Nusselt number, plate surface temperature and Sherwood number are illustrated numerically in tabular form. The results show among all other obtained that the cooling problem is guaranteed with the positive values of Grashof number while the higher values of heat source energies the random movement of the fluid molecules and pave way for the penetration of the thermal effect to the quiescent fluid.

Homotopy Analysis Investigation of Heat and Mass Transfer Flow Past a Vertical Porous Medium in the Presence of Heat Source