3.8-3. Velocity Profile in Wetted-Wall Tower. In a vertical wetted-wall tower, the fluid flows down the inside as a thin film 6 m thick in laminar flow in the vertical z direction. Derive the equation for the velocity profile v₂ as a function of x, the distance from the liquid surface toward the wall. The fluid is at a large distance from the entrance. Also, derive expressions for v₂ av and v₂ max. (Hint: At x = 8, which is at the wall, v₁ = 0. Atx = 0, the surface of the flowing liquid, V max ) Show all steps. Vz Ans. v₂ = (p982/2µ)[1 − (x/d)²], vz av = pg8²/3µ, vz max = pg8²/2µ