(Solved): 5- In a paper coating process a continuous sheet of paper is pulled vertically upward through the s ...

5- In a paper coating process a continuous sheet of paper is pulled vertically upward through the surface of a pool of coating liquid at a velocity of $$U_0$$. A film of coating liquid of constant thickness (h) adheres to the paper sheet at each side. Gravity tends to make the liquid drain down, but the movement of the paper keeps the liquid from running off completely. Assume the film flow is steady, fully developed, and laminar. a. Derive an expression for the velocity profile in the film. b. If the velocity of the outside surface of the film is zero. Find $$h$$ as a function of $${\mathrm{U}}_{\mathrm{o}}$$. c. Determine the drag force on the paper per unit surface area. d. Determine the volumetric flow rate per unit width of the film. e. Determine the average velocity of flow. f. Determine the paper velocity $${\mathrm{U}}^{?}$$ for which there is no net flow ei