A wide moving belt passes through a container of a viscous liquid. The belt moves vertically upward with constant velocity v_w, as illustrated in the figure. Because of viscous forces, the belt picks up a thin film of fluid having a thickness h. Use the appropriate form of the Navier–Stokes equations to derive an expression for the velocity of the fluid film as it is dragged up the belt. Assume the flow is laminar, steady, continuous, in-compressible, and fully developed.

Transcribed Image Text:

Thin viscous fluid with thickness = h Belt moving up with a velocity = Vw %3! W. Air