You are building a pipeline to transport crude oil (SG = 0:8, = 30 cP) from a seaport over a mountain to a tank farm. The top of the mountain is 3000 ft above the seaport and 1000 ft above the tank...

You are building a pipeline to transport crude oil (SG = 0:8, = 30 cP) from a seaport over a mountain to a tank farm. The top of the mountain is 3000 ft above the seaport and 1000 ft above the tank farm. The distance from the port to the mountain top is 200 mi, and from the mountain top to the tank farm it is 75 mi. The oil enters the pumping station at the port at 1 atm pressure and is to be discharged at the tank farm at 20 psig. The pipeline is 20 in. sch 40, and the oil flow rate is 2000 gpm.

(a) Will slack flow occur in the line? If so, you must install a restriction (orifice) in the line to ensure that the pipe is always full. What should the pressure loss across the orifice be, in psi?

(b) How much pumping power will be required, if the pumps are 70% efficient? What pump head is required?