Because of its relevance not only in the realm of academia but also in the business world, the study of fluid movements through porous media has attracted a lot of interest over the course of its history. In particular, heat and the passage of material through a channel or cylinder that is filled with a porous substance. The fluxes in the presence of a magnetic field but with clear fluid, that is, without a porous medium, have been researched by several writers, while other researchers have taken the plates and let them sit still. In this paper, a non-Darcy viscous dissipating MHD flow and heat transfer in a channel filled with porous media and moving plates is considered. All of these factors are taken into consideration. In order to solve the governing equation, a simulation approach that goes by the name Differential Transform Method or Taylor Transform Method is utilised. It is assumed that the effects of the fluid's thermophysical characteristics and the very porous medium's thermophysical qualities remain the same. In order to make accurate predictions about the flow and temperature field, "analytical solutions for the velocity and temperature are produced. It is decided to carry out a parametric analysis in order to investigate the impact that a variety of parameters have on the flow and heat transfer performance. Calculations of the skin friction coefficient and the Nusselt Number are carried out, and their respective tables and figures are included".