Problem 3. A pump is to be placed in a 9-in-diameter water pipeline with a static head Hs = 27.3 ft. The pipeline length is 6750 ft with a friction factor of 0.014. The minor losses sum to K = 18.0. The pump characteristic curve in the table below is for a single pump at an operating speed of 1800 rpm. Flow Head (gpm) (ft) Efficiency (%) 0 97.5 0 200 96.0 35 400 93.2 63 600 90.0 75 700 87.6 79 800 85.1 82 900 82.0 83.6 1,000 79.4 82.5 1,100 74.2 81 1,200 71.2 74 1,400 60.4 55 Using pump affinity laws, determine the operating point and the required mechanical power (in horsepower) for the following cases: a. A single pump, b. A single pump running at 2160 rpm. Develop a new characteristic curve for the in- creased pump speed by scaling the Q and hp values above (1800 rpm).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem 3. A pump is to be placed in a 9-in-diameter water pipeline with a static head
Hs = 27.3 ft. The pipeline length is 6750 ft with a friction factor of 0.014. The minor losses
sum to K = 18.0. The pump characteristic curve in the table below is for a single pump
at an operating speed of 1800 rpm.
Flow
Head
(gpm)
(ft)
Efficiency
(%)
0
97.5
0
200
96.0
35
400
93.2
63
600
90.0
75
700
87.6
79
800
85.1
82
900
82.0
83.6
1,000
79.4
82.5
1,100
74.2
81
1,200
71.2
74
1,400
60.4
55
Using pump affinity laws, determine the operating point and the required mechanical power
(in horsepower) for the following cases:
a. A single pump,
b. A single pump running at 2160 rpm. Develop a new characteristic curve for the in-
creased pump speed by scaling the Q and hp values above (1800 rpm).
Transcribed Image Text:Problem 3. A pump is to be placed in a 9-in-diameter water pipeline with a static head Hs = 27.3 ft. The pipeline length is 6750 ft with a friction factor of 0.014. The minor losses sum to K = 18.0. The pump characteristic curve in the table below is for a single pump at an operating speed of 1800 rpm. Flow Head (gpm) (ft) Efficiency (%) 0 97.5 0 200 96.0 35 400 93.2 63 600 90.0 75 700 87.6 79 800 85.1 82 900 82.0 83.6 1,000 79.4 82.5 1,100 74.2 81 1,200 71.2 74 1,400 60.4 55 Using pump affinity laws, determine the operating point and the required mechanical power (in horsepower) for the following cases: a. A single pump, b. A single pump running at 2160 rpm. Develop a new characteristic curve for the in- creased pump speed by scaling the Q and hp values above (1800 rpm).
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