Approximate analytical modeling of heat and mass transfer in hydromagnetic flow over a non-isothermal stretched surface with heat generation/absorption and transpiration

•MHD flow, heat and mass transfer analysis with heat source/sink and transpiration is not studied yet.•Homotopy analysis method is used to solve the governing equations.•Local skin friction coefficient increase as magnetic parameter increase.•Reduced Nusselt and Sherwood numbers are decrease as magnetic parameter increase.•Previous published results can be obtained from present study.

This study reports the approximate analytical modeling of heat and mass transfer in hydromagnetic flow over a non-isothermal stretched surface, incorporating the effects of heat generation/absorption and transpiration. Homotopy analysis method (HAM) is used to obtain the analytical solutions of the non-linear governing equations. The effects of several parameters (suction/injection parameter fw, magnetic parameter M, heat source/sink coefficient ɛ, Prandtl number Pr, Schmidt numberSc, and velocity and temperature power-law parameters m,  n) on the dimensionless velocity, temperature, concentration, skin friction, and Nusselt and Sherwood numbers are investigated. The results of the local skin friction coefficient and reduced heat transfer rate are compared with the published data for a special case and found to be in good agreement. It is found that the reduced Nusselt and Sherwood numbers are increasing functions of fw.

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