determine the flow velocity in 2000 ft of 8 inch

Question

Determine the flow velocity in 2,000 ft of 8 inch diameter piping flowing full. The energy lost in piping is 54 ft. Use nominal pipe diameter and C = 140.    

Solution: Use v = 1.318(C)(R)^0.63 (Sf)^0.54     S_f = h_f /L      R = d/4  

L = 2,000 ft        d = 8.0 in               C = 140             S_f = h_f /L = 54/2,000 = 0.027

v = (1.318)(140)(8/4)^0.63 (0.027)^0.54

v = 40.6 ft/sec