1. A wide, flat, moving belt passes through a container of viscous, incompressible, Newtonian fluid with viscosity and density . The belt moves upward at an angle with a constant velocity V. Because of viscous forces the belt picks up a thin film of fluid of thickness h as it leaves the container. Starting from the Navier-Stokes equation, determine the equation for the velocity profile in the fluid for the special case when the flow can be assumed to be unidirectional and the thickness h is constant in time. Assume the air exerts a negligible shear stress on the surface of the liquid