a pipe line has been proposed to carry natural gas 1715 miles from alaska\'s nor

Question

a pipe line has been proposed to carry natural gas 1715 miles from alaska's north slope to calgary,alberta ,canada.The (smooth) pipe diameter will be 52 inches. The gas will be at high pressure,averaging 2500 ibs/in^2
(a) why such high pressure?
The proposed flow rate is 4 billion cubic feet per day at sea-level conditions
(b) what volume flow rate,at 20 C, would carry the same mass at high pressure?
(c) If natural gas is assumed to be methane( CH4), what is the total pressure drop?
(d)I f each pumping station can deliver 12,000hp to the flow,how many stations are needed?

Explanation / Answer

Diameter of the pipe line is D=52 in A=14.74 Length of Pipe = 1715 miles=9055200 ft pressure = 2500 lbs/in2=17.36lbs/ft2 Flow rate Q= 4billion cubicfeet/day a)There is a friction loss in pipes, The length of the pipe is very long to over come this friction loss high pressure is required. b)Vlume flow rate Q=volume/time =4x109/24x60x60=46296 ft3/s V=Q/A=46296/14.74=3140 ft/s c)hf=4flv2/gd=4(0.01)(9055200)(3140)2/(42.16)(32)(4.33) d)Find the power using the formula wQhf Dived this power by 2200 we get number of pumps Dived this power by 2200 we get number of pumps

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