Approximate analytic solutions for influence of heat transfer on MHD stagnation point flow in porous medium

•Analytical solution are computed with homotopy analysis method.•The effects of suction on temperature profile is negligible.•Friction factor decreases with Prandtl number.•The rate of heat transfer increases with an increase in suction/injection, permeability, and magnetic parameters.

PurposeThe paper aims to find an accurate analytic solution (series solution) for MHD stagnation point flow in porous medium for different values of Prandtl number and suction/injection parameter.Design/methodology/approachIn this paper, the homotopy analysis method (HAM) with unknown convergence-control parameter has been used to derive accurate analytic solution for MHD stagnation point flow in porous medium.FindingsMain findings are; the skin-friction coefficient decreases with Prandtl number, and with the increasing values of M the Nusselt number significantly increases with low Prandtl number.Practical implicationsThe HAM with unknown convergence-control parameter can be used to obtain analytic solutions for many problems in sciences and engineering.Originality/valueThis paper fulfils an identified need to evaluate the accurate analytic solution (series solution) of practical problem. Some deduced results can be obtained in a limiting sense.