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.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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6. 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 h₁ = 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.
Transcribed Image Text:6. 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 h₁ = 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.
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