This study investigates the conjugate impacts of variable thermal conductivity and thermal radiation on nonlinear heat conducting fluid moving vertically through parallel channels. The dimensional governing equations were reduced to dimensionless partial differential equations and consequently transformed to ordinary differential equations. The resulting ordinary differential equations were solved using the homotopy perturbation method. The study aimed at discovering the possible effects of thermal radiation parameter , thermal conductivity parameter , temperature difference parameter and Magnetic parameter through the help of line graphs. It was found that, Velocity and temperature distributions were increasing functions of , while Velocity and temperature distributions are decreasing functions of