A wide (W) moving belt with length L passes through a container of a viscous liquid. The belt moves vertically upward at constant velocity Vb as illustrated in the figure. The belt picks up a thin film of fluid having a thickness equal to h because of viscous forces. Assume that the flow is laminar, steady, continuous, incompressible and fully developed. Using a shell balance,

Fall 2023

Derive an expression for the velocity profile of the fluid in the film as it is dragged up the belt.

Find the average velocity for this upward directional flow of the fluid film.

A wide (W) moving belt with length L passes through a container of a viscous lic The belt moves vertically upward at constant velocity Vb as illustrated in the figu The belt picks up a thin film of fluid having a thickness equal to " h " because of viscous forces. Assume that the flow is laminar, steady, continuous, incompressil and fully developed. Using a shell balance, a. Derive an expression for the velocity profile of the fluid in the film as it is dragged up the belt. b. Find the average velocity for this upward directional flow of the fluid film