Magnetohydrodynamic (MHD) nanofluid flow considered to be steady, incompressible and electrically conducting, flows through permeable plates in the presence of convective heating, models as a system of nonlinear partial differential equations which are solved analytically by the Differential Transform Method (DTM). Copper, aluminum oxide and titanium dioxide nanoparticles are considered with Carboxyl Methyl Cellulose (CMC)-water as the base fluid. Variation of the effects of pertinent parameters on fluid velocity and temperature is analyzed parametrically. Verification between analytical (DTM) and numerical (fourth-order Runge-Kutta scheme) results and previous published research is shown to be quite agreeable. The temperature of Cu-water is found to be low in comparison with Al₂O₃ and TiO₂ which is reasonable for high thermal conductivity of copper. Furthermore increasing the volume fraction of nanoparticles causes enhancement of thermal conductivity and decrease in temperature.