A fluid with specific weight of 12000 N/m³ and viscosity of 0.002 kg/m.s flows between two parallel plates as shown in the figure. The upper plate moves with the velocity of U and the lower plate is...

Extracted text: A fluid with specific weight of 12000 N/m³ and viscosity of 0.002 kg/m.s flows between two parallel plates as shown in the figure. The upper plate moves with the velocity of U and the lower plate is fixed. (a) Find the velocity profile u(y) in terms of h, U, and dp/dx. Assume the flow is steady, 2D, and parallel to the plates. (b) A manometer is used to measure the pressure drop Ap = p2- pi of the flow. Find Ap if the elevation difference in the manometer is H=0.2 cm and ym=16000 N/m³. (c) Assuming dp/dx Ap/L, find the fluid velocity at y=h/2. Consider h=2.5 cm, L=15 cm, and U=0.007 m/s.