non-wetting fluid (oil) flows on top of the wetting fluid (water film on top of the surface). And because these two fluids do not mix that mean oil is "ice skate" on top of the water. In that case velocity will not merely depend on viscosity unlike the case when oil is wetting the surface and...
If the single phase flows on the inclined surface and this phase (let's say water) is wetting the surface then closest layer to the surface will be bounded and will not move. And velocity of flow will be in inverse proportion with viscosity of the fluid.
If now the second phase is introduced...