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Given the following information for a 5:4-lobe PCP: rotor diameter of 2 in., semicircle diameter of 0.5 in., stator pitch length of 12 in., pump

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Given the following information for a 5:4-lobe PCP: rotor diameter of 2 in., semicircle diameter of 0.5 in., stator pitch length of 12 in., pump speed of 100 RPM, clearance between the rotor and stator is 0.005 in., the channel depths LL=LT=0.065in. The pump is installed at the depth of 6000ft. The production liquid has a viscosity of 500cp and a specific gravity of 0.85 . The wellhead pressure is maintained at 300 psi. The pump intake pressure is measured and given as 500 psi. Neglecting the frictional pressure drop inside the production tubing and assuming the PL and PT are the same and equal to 10 psi. Calculate: a. The theoretical pump rate. b. The longitudinal, transversal, and total slippages c. The actual pump rate and the pump efficiency. Given the following information for a 5:4-lobe PCP: rotor diameter of 2 in., semicircle diameter of 0.5 in., stator pitch length of 12 in., pump speed of 100 RPM, clearance between the rotor and stator is 0.005 in., the channel depths LL=LT=0.065in. The pump is installed at the depth of 6000ft. The production liquid has a viscosity of 500cp and a specific gravity of 0.85 . The wellhead pressure is maintained at 300 psi. The pump intake pressure is measured and given as 500 psi. Neglecting the frictional pressure drop inside the production tubing and assuming the PL and PT are the same and equal to 10 psi. Calculate: a. The theoretical pump rate. b. The longitudinal, transversal, and total slippages c. The actual pump rate and the pump efficiency

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