Question

1. Fluid between parallel plates down an inclined plane (gravity setler). Fluid is flowing between parallel plates, at an angle of β to the vertical. Assume δ<<w, L. th a momentum balance on a differential shell, and using the notation shown below, derive: i. the velocity distribution in the fluid, v,-f(x/b), and sketch result ii. the shear stress distribution in the fluid, -f(x/ö), and sketch result. iii. the volumetric flow rate iv. the maximum velocity, and the position x where this maximum occurs. v. the maximum shear stress, and the position x where this maximum occurs. b) Starting with the three equations of motion (Navier-Stokes) and the continuity equation: i. Cancel out appropriate terms to obtain the model equation(s). ii. Write the boundary conditions. ii. Show that your model equation(s) match that from part (a).

Answer 1