Oil (-0.38 N.s/m) 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. a. List the assumptions (4 P) b. Show that velocity is only a function of y (3 P) c. Find the general form of velocity (12 P) d. Apply boundary conditions to velocity and find c and (6 P) e. Use the given values and obtain the velocity as a function of y only (5P) After you solve the above parts, now solve the following parts. f. Sketch the velocity profile for 10 different values of y (ranging from 0 to 5 mm) (5 P) g. Find the location at which velocity is maximum (SP) h. Calculate the flow rate (SP) Oil (-0.38 N.s/m) 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. a. List the assumptions (4 P) b. Show that velocity is only a function of y (3 P) c. Find the general form of velocity (12 P) d. Apply boundary conditions to velocity and find c and (6 P) e. Use the given values and obtain the velocity as a function of y only (5P) After you solve the above parts, now solve the following parts. f. Sketch the velocity profile for 10 different values of y (ranging from 0 to 5 mm) (5 P) g. Find the location at which velocity is maximum (SP) h. Calculate the flow rate (SP)