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.