Answered: A good curve-fit to the head vs. flow…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A good curve-fit to the head vs. flow for the 32-inch pump in the image shown below is:

H(inft)≈500−(2.9E−7)Q2,Qingal/minH(in⁢ ft)≈500−(2.9E−7)Q2⁢ , Q⁢ in⁢ gal/min⁡

Assume the same rotation rate, 1170 r/min, and estimate the flow rate this pump will provide to deliver water from a reservoir, through 900 ft of 12-inch pipe, to a point 300 ft above the reservoir surface. Assume a friction factor f = 0.019.

Answer in gal/min

n = 1170 r/min
50
800
NPSH
700
36금-in dia.
20
600
32-in dia.
87%
500
400
2500 bhp
28-in dia.
300
1500 bhp
200
4
8
12
16
20
24
28
U.S. gallons per minute x 1000
NPSH, ft
%88
3500 bhp
8%,
3000 bhp
%78
- 87%
%8/.
2000 bhp
Total head, ft

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