There is a piston with a diameter of 3.960 inches inside a cylinder body that has an inside diameter of 4.000 inches. The length of the piston is 3.00 inches. The fluid has an absolute viscosity of 20 cP. It is expected that the eccentricity will be 0.6 in general operation.

a) If the pressure is 1,000 psig across the piston, what will the annular flow (leakage flow) be in gpm?

b) If the flow from the pump is 20 gpm, what would be the maximum force that could be developed by the piston?