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University of Tulsa - PE 30732014 Midterm Solution

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Name: PE 3073 PRODUCTION ENGINEERING I Dr. O. Shoham Fall 2014 Midterm Exam Problem 1 Water is pumped at a rate of q 40,000 bbl/day through a piping system, as shown in the figure below. The ... pumping system consists of a horizontal section ( 0) with a length of L = 1,000 ft. that is followed by a vertical section ( 90) of a height of H = 100 ft. . The diameter of both sections is d = 8 in. . The pump suction (inlet) pressure is p1 = 14.7 psia, the outlet pressure of the piping system is p2 = 200 psia, the water density is 62.4 lbm/ft3 and the friction factor (Moody) is f = 0.0195. (Recall: 1bbl = 5.615 ft3). Determine (neglect the accelerational pressure gradient): 1. The pressure drop in the piping system 2. The pump pressure “boost”. This is the pressure increment delivered by the pump. Problem 2 Oil and natural gas flow downwards in a 2.54-cm-ID 1,000 m long smooth pipe, which is inclined downwards. The volumetric flow rates are is qO 0.001 m3/s and 0.00625 qG m3/s, and the liquid holdup is HL 0.95 . The pipe inlet and outlet pressures are the same, namely, 20 psia, and the fluid properties are: O 1,000 kg/m3 ; O 1cp 1103kg/ms , G 1.6 kg/m3 ; G 0.02cp 0.02103kg/ms . Determine the inclination angle of the pipe. Assume all flow conditions are constant. Utilize the homogenous no-slip frictional pressure gradient model and neglect the accelerational gradient. Use the Blasius equation for determining the friction factor, namely, fM 0.184Re0.2 [Show More]

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