Free convective Magneto hydrodynamics (MHD) Couette flow of nanofluid through a porous medium in a vertical permeable channel with thermal radiation and suction/injection. A Cu-ethylene glycol nanofluid is evaluated. The class of equations and their numerical integration are discretized by means of C.N. (Crank-Nicolson) implicit difference scheme for the integrated governing unsteady mass, momentum & energy equation systems. In the present article, the steady-state fluid flow with heat transfer have been studied by this mathematical model. Hence, the analysis and comparison of the steady and the unsteady are presented. The dominance of various physical parameters are displayed in the form of graphs for velocity and temperature profiles for both cases.



