Effects of buoyancy forces on a forced-convection laminar flow as well as the forced-convection effects on a purely free-convection laminar flow about a vertical flat plate are analyzed. Solutions are obtained by expanding the stream function and the temperature function into series in terms of the parameter Grx/Rex2 when approaching from the forced-convection side, whereas for the free-convection approach in terms of the parameter (Grx/Rex2)−1/2. Velocity and temperature profiles, shear stress, and heat transfer are given for various values of the governing parameters.