<p>This paper intents to promote the mathematical model for non-Newtonian Darcy–Forchheimer on a microchannel with heat transfer of electrohydromagnetic peristaltic transport through porous medium. Slip boundary conditions for velocity and heat transfer are kept on channel walls. The Magnetohydrodynamic electro-osmosis peristaltic flow in a microchannel is derived under the framework of Debye–Huckel linearization approximation. The assumptions of long wave length and low Reynolds number approximations are also incorporated. By aggregating several factors, including axial velocity, temperature, pressure distribution, stream function, and Nusselt number, the current situation is categorized. The shooting approach based on RK-4 has been applied to assess the nonlinear equations. The significance of different parameters is visualized through the formulation of graphic results.</p>