5. Oil (S=0.92) is transported through the system as shown below. If the pressure head difference between points B and A is (P-P₁)/ pg = 145 m, calculate the horsepower supplied by the pump to the system. Pipe 1 has a diameter of 7 cm and length 38, while pipe 2 has a diameter of 4.0 cm and length 20 m. Assume, a = 1.00 at all locations, and Elev. 1 = 80 m, Elev. 2 = 145 m, and Elev. 3 = 30 m. Head loss in the pipes are given as V²L h,=0.017- for pipe 1, and h = 0.022- for pipe 2. Assume that the losses between V²L 2gD 2gD A and B are negligible and are at the same elevation. Hint: Apply energy equation at reservoir surface and exit point. Velocity in pipe 1 can be determined in terms of velocity in pipe 2 using Q1-Q2. Thus, pump head can be determined in terms of the velocity. Now apply energy equation at A and B, the elevations of A and B are same, and the pressure head difference is known. Plugging in pump head value in terms of velocity, the velocity in one of the pipes can be found.
5. Oil (S=0.92) is transported through the system as shown below. If the pressure head difference between points B and A is (P-P₁)/ pg = 145 m, calculate the horsepower supplied by the pump to the system. Pipe 1 has a diameter of 7 cm and length 38, while pipe 2 has a diameter of 4.0 cm and length 20 m. Assume, a = 1.00 at all locations, and Elev. 1 = 80 m, Elev. 2 = 145 m, and Elev. 3 = 30 m. Head loss in the pipes are given as V²L h,=0.017- for pipe 1, and h = 0.022- for pipe 2. Assume that the losses between V²L 2gD 2gD A and B are negligible and are at the same elevation. Hint: Apply energy equation at reservoir surface and exit point. Velocity in pipe 1 can be determined in terms of velocity in pipe 2 using Q1-Q2. Thus, pump head can be determined in terms of the velocity. Now apply energy equation at A and B, the elevations of A and B are same, and the pressure head difference is known. Plugging in pump head value in terms of velocity, the velocity in one of the pipes can be found.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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