Abelt moves upward at a steady velocity v, dragging a film of viscous liquid of thickness h. near the belt, the film moves upward due to no-slip. at its outer edge, the film moves downward due to gravity. aligning the y-axis with the belt movement and assuming that the only non-zero velocity is uy, with zero shear stress at the outer film edge, derive a formula for

a. the velocity profile as a function of distance to the belt, uy(x)
b. the average velocity uarg in the film
c. he wall velocity vc for which there is no net flow either up or down and sketch uy/vc vs x/h