In this study, an analytical investigation of convective heat transfer and entropy generation analysis of flow of micropolar fluid is presented. The infinite channel is assumed to be saturated with porous material and the walls are maintained at different constant temperatures. The Eringen thermo-micro-polar material model is used to simulate the rheological flow in the channel. The fluid is assumed to be gray, absorbing, emitting but non-scattering medium, and the Rosseland’s approximation is utilized to simulate the radiative heat flux component of heat transfer in energy transport equation. The resulting governing equations are then solved under physically viable boundary conditions at the channel walls using the Adomian decomposition method. The influences of emerging thermophysical parameters are addressed through graphs. The computations show that the increase in the Grashof number and radiation parameter causes to increase the entropy generation. Further, the effect of viscous dissipation was taken into account since it significantly affects heat transfer and entropy generation characteristics and cannot be ignored.