Answered: Complex piping system—D. Consider the…

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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Complex piping system—D. Consider the piping system shown in Fig.
P3.28. The pressures p1 and p5 are both essentially atmospheric (0 psig); there is
an increase in elevation between points 4 and 5, but pipes C and D are horizontal.
The head-discharge curves for the centrifugal pumps can be represented by:
Δp = a − bQ2,
in which Δp is the pressure increase in psig across the pump, Q is the flow rate in
gpm, and a and b are constants depending on the particular pump.
Use a spreadsheet that will accept values for aA, bA, aB, bB, z5 − z4, DC, LC,
DD, LD, DE, LE, and the Fanning friction factor (assumed constant throughout).
Then solve for the unknowns QC, QD, QE, p2, p3, and p4. Take z5 − z4 = 70 ft,
fF= 0.00698, with other parameters given in Tables P3.28.1 and P3.28.2.

Assume that the above pipe lengths have already included the equivalent lengths
of all fittings and valves.

(SHOW THE CODE OR EXCEL FROMULAS USED)

(5
1)
Pipe E
3
Рipe C
Pump B
2
Рipe D
Pump A
4
Fig. P3.28 Two pumps feeding to an upper tank.

Table P3.28.1 Ритp Рaraтeters
Pump
а, psi
b, psi/(gpm)?
A
156.6
0.00752
B
117.1
0.00427
Table P3.28.2 Pіipe Paraтeters
Pipe
D, in.
L, ft
C
1.278
125
D
2.067
125
E
2.469
145

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