This sort of research might be used to improve the design of micro-pumps and micro heat exchangers. Understanding the fluid flow and heat transfer properties of the buoyancy-induced micro pump and micro heat exchangers in microfluidic and thermal systems is extremely important.In three cases of asymmetric distributions of walls temperature of a vertical micro- porous–channel, the effect of viscous dissipation and heat generation on radiative steady MHD fully developed natural convection flow was investigated analytically using Differential Transform Method (DTM) and numerically using Finite Difference Method (FDM). The velocity slip and temperature jump circumstances are both taken into account since they have opposing impacts on the volume flow rate and theheat transfer rate, respectively.Graphs and tables show the effect of each governing parameter on non-dimensional velocity, temperature, local wall shear stress, and local surface heat flux at the microchannel surfaces. The results obtained were validated by comparison with their peers previously published.