Calculations with Partially Parabolized Navier-Stokes equation in laminar mixed forced and free convection flow over an isothermal inclined flat surface which is maintained upward and downward facing flow are reported. They involve the flow beyond the separation point for the buoyancy opposing flow case for which both experimental and numerical researches have been scarcely reported.
Numerical results are presented for both the buoyancy assisting and opposing flow cases over a wide range of buoyancy parameter $-0.3<\xi<100(\xi=Gr_x/Re_x^2)$ for Pr=0.7, 7, with the angle of inclination ranging from 0° to 45° degrees from the vertical. Separation points are obtained for buoyancy opposing flow cases and Pr=0.7 with $\gamma$=0°,15°,30°,45°
It is found that the local Nusselt number and the local friction coefficient increase with increasing buoyancy forces for buoyancy assisting flow cases and decrease with increasing buoyancy forces for buoyancy opposing flow cases. The velocity profiles for assisting flow exhibit an overshoot beyond the free stream velocity and for opposing flow show S- shaped profiles typical of retarded boundary layer. The effect of buoyancy force on the local Nusselt number and the local friction coefficient is found to diminish as the angle of inclination increases.
The predictions are in very good agreement with the experiments and previously predicted results.