2. Oil (u=0.38 N.s/m2) flows between parallel plates spaced 5 mm apart. The bottom plate is fixed, but the upper plate moves with a velocity of 0.2 m/s in the positive x direction. The pressure gradient is 60 kPa/m and it is negative. Assume laminar flow. Coordinate system is located at bottom a. List the assumptions ( 12 P) b. Using the Continuity eq., show that velocity is only a function of y (8P) c. Using only the x-component of NSE, find an expression for the u- velocity (20 P) d. Apply boundary conditions to velocity and find c and c (20 P) e. Using the given values in the problem, obtain the u-velocity equation as a function of y only (10 P) ATTENTION After you solve the above parts, now solve the following parts. [FIRST, you have to solve from a) to e). Otherwise you won't be graded!] f. Plot the velocity profile using 10 different values of y (ranging from 0 to 5 mm) (10 P) g. Find the location at which velocity is maximum at which u-velocity gradient with respect to y is zero (10 P) h. Calculate the flow rate, Q (10 P) Fixed plate Moving plate