Consider a pump system that delivers water at a flow of Q = 5 cubic feet per second (cfs) in a steel pipe (ɛ = 0.00020 feet) between two large open reservoirs. The diameter of both the suction pipe and the discharge pipe is D = 12 inches. The friction factor is f = 0.015646. The total length of the pipe is L = 1,525 feet. The water surface elevation of the receiving reservoir is 80 feet higher than the water surface elevation of the supply reservoir so (z2 - z1) = 80 feet. The water temperature is 50°F. The kinematic viscosity of the water is 1.41 x 10$ ft2/s. The efficiency of the pump is 68% and the efficiency of the electric motor is 88%.

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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100%
Type of minor loss
LOSS I terms of
/28
Pipe fittings:
90° elbow, regular
90° elbow, long radius
45° elbow, regular
Return bend, regular
Return bend, long radius
AWWA tee, flow through side outlet
AWWA tee, flow through run
AWWA tee, flow split side inlet to run
Valves:
Butterfly valve (0 90° for closed valve)*
O O
O 10
O 20"
O 30
O 40
O SO"
O 60°
Check valves (swing check) fully open
Gate valves (4 to 12 in) fully open
1/4 closed
1/2 elosed
3/4 closed
Sluice gates:
As submerged port in 12-in wall
As contraction in conduit
Width equal to conduit width and without top submergece
0.21-0.3O
0.14-0.23
0.2
0.4
0.3
0.5-1.80
0.1-0.6
0.5-1.8
0.3-1.3
0.46-0.52
1.38-1.54
3.6-3.9
10-11
31-33
90-120
0.6-2.5
O.07-0. 14
0.47-0.55
2.2-2.6
12-16
0.8
0.5
0.2
Entrance and exit losses:
Entrance, bellmouthed
Entrance, slightly taunted
Entrance, square edged
Entrance, projecting
0.04
0.23
0.5
1.0
Exit, bellmouthed
0.1
Exit, submerged pipe to still water
1.0
Total of
Minor loss
minor loss
Pipe Fittings on the Suction Side
coefficient k
coefficients
Quantity
1
Projecting entrance
90° bends
2
Fully-open butterfly valve
1
Ek =
Total of
Minor loss
minor loss
Pipe Fittings on the Discharge Side coefficient k
Quantity
1
coefficients
Fully-open swing check valve
Fully-open gate valves
2
90° bends
2
Sharp-edged exit
1
Ek =
Transcribed Image Text:Type of minor loss LOSS I terms of /28 Pipe fittings: 90° elbow, regular 90° elbow, long radius 45° elbow, regular Return bend, regular Return bend, long radius AWWA tee, flow through side outlet AWWA tee, flow through run AWWA tee, flow split side inlet to run Valves: Butterfly valve (0 90° for closed valve)* O O O 10 O 20" O 30 O 40 O SO" O 60° Check valves (swing check) fully open Gate valves (4 to 12 in) fully open 1/4 closed 1/2 elosed 3/4 closed Sluice gates: As submerged port in 12-in wall As contraction in conduit Width equal to conduit width and without top submergece 0.21-0.3O 0.14-0.23 0.2 0.4 0.3 0.5-1.80 0.1-0.6 0.5-1.8 0.3-1.3 0.46-0.52 1.38-1.54 3.6-3.9 10-11 31-33 90-120 0.6-2.5 O.07-0. 14 0.47-0.55 2.2-2.6 12-16 0.8 0.5 0.2 Entrance and exit losses: Entrance, bellmouthed Entrance, slightly taunted Entrance, square edged Entrance, projecting 0.04 0.23 0.5 1.0 Exit, bellmouthed 0.1 Exit, submerged pipe to still water 1.0 Total of Minor loss minor loss Pipe Fittings on the Suction Side coefficient k coefficients Quantity 1 Projecting entrance 90° bends 2 Fully-open butterfly valve 1 Ek = Total of Minor loss minor loss Pipe Fittings on the Discharge Side coefficient k Quantity 1 coefficients Fully-open swing check valve Fully-open gate valves 2 90° bends 2 Sharp-edged exit 1 Ek =
Consider a pump system that delivers water at a flow of Q = 5 cubic feet per second (cfs) in a
steel pipe (ɛ = 0.00020 feet) between two large open reservoirs. The diameter of both the
suction pipe and the discharge pipe is D = 12 inches. The friction factor is f = 0.015646. The
total length of the pipe is L = 1,525 feet. The water surface elevation of the receiving reservoir
is 80 feet higher than the water surface elevation of the supply reservoir so (z2 – z1) = 80 feet.
The water temperature is 50°F. The kinematic viscosity of the water is 1.41 x 10 5 ft2/s. The
efficiency of the pump is 68% and the efficiency of the electric motor is 88%.
Use the Darcy-Weisbach equation to evaluate the friction head loss. Also, evaluate the minor
head losses. The pipe section on the suction side of the pump and has a diameter of D1 = 12
inches, a length of L1 = 25 feet, and a friction factor of f = 0.015646. The entrance from the
reservoir into the suction pipe is a projecting entrance. Then, there are two 90° bends and one
fully-open butterfly valve. Record the chosen values of minor loss coefficients for the suction
piping on your worksheet.
The pipe section on the discharge side of the pump has a diameter of D2 = 12 inches, a length
of L2 = 1,500 feet, and a friction factor of f2 = 0.015646. The pipe section on the discharge side
also has one fully-open swing check valve, two fully-open gate valves, and two 90° bends.
Then, the exit from the pipe into Reservoir 2 is a sharp-edged exit. Record the chosen values of
minor loss coefficients for the discharge piping on your worksheet.
a) Determine the velocity in the pipe in feet per second (fps).
b) Determine the Reynolds number Re.
c) Determine the pipe constant Kpipe for total length of the pipe of L = 1,525 feet when flow
Q is in cfs and diameter D is in feet.
d) Determine the friction head loss hfric in feet for the total length of pipe L= 1,525 feet.
e) Determine the combined minor losses hminor in feet for the suction and discharge piping.
f) Using the energy equation, determine the total dynamic head hpump in feet for the
pump.
g) Determine the water horsepower WHP for the pump in horsepower (hp).
h) Determine the required motor horsepower MHP for the pump in horsepower (hp).
Table 4.3.1
Minor Loss Coefficients for Pipe Flo
K
Type of minor loss
Loss in terms of V/2g
Pipe fittings:
90° elbow, regular
90° elbow, long radius
45° elbow, regular
Return bend, regular
Return bend, long radius
AWWA tee, flow through side outlet
AWWA tee, flow through run
AWWA tee, flow split side inlet to run
0.21-0.30
0.14-0.23
0.2
0.4
0.3
0.5-1.80
0.1-0.6
0.5-1.8
Transcribed Image Text:Consider a pump system that delivers water at a flow of Q = 5 cubic feet per second (cfs) in a steel pipe (ɛ = 0.00020 feet) between two large open reservoirs. The diameter of both the suction pipe and the discharge pipe is D = 12 inches. The friction factor is f = 0.015646. The total length of the pipe is L = 1,525 feet. The water surface elevation of the receiving reservoir is 80 feet higher than the water surface elevation of the supply reservoir so (z2 – z1) = 80 feet. The water temperature is 50°F. The kinematic viscosity of the water is 1.41 x 10 5 ft2/s. The efficiency of the pump is 68% and the efficiency of the electric motor is 88%. Use the Darcy-Weisbach equation to evaluate the friction head loss. Also, evaluate the minor head losses. The pipe section on the suction side of the pump and has a diameter of D1 = 12 inches, a length of L1 = 25 feet, and a friction factor of f = 0.015646. The entrance from the reservoir into the suction pipe is a projecting entrance. Then, there are two 90° bends and one fully-open butterfly valve. Record the chosen values of minor loss coefficients for the suction piping on your worksheet. The pipe section on the discharge side of the pump has a diameter of D2 = 12 inches, a length of L2 = 1,500 feet, and a friction factor of f2 = 0.015646. The pipe section on the discharge side also has one fully-open swing check valve, two fully-open gate valves, and two 90° bends. Then, the exit from the pipe into Reservoir 2 is a sharp-edged exit. Record the chosen values of minor loss coefficients for the discharge piping on your worksheet. a) Determine the velocity in the pipe in feet per second (fps). b) Determine the Reynolds number Re. c) Determine the pipe constant Kpipe for total length of the pipe of L = 1,525 feet when flow Q is in cfs and diameter D is in feet. d) Determine the friction head loss hfric in feet for the total length of pipe L= 1,525 feet. e) Determine the combined minor losses hminor in feet for the suction and discharge piping. f) Using the energy equation, determine the total dynamic head hpump in feet for the pump. g) Determine the water horsepower WHP for the pump in horsepower (hp). h) Determine the required motor horsepower MHP for the pump in horsepower (hp). Table 4.3.1 Minor Loss Coefficients for Pipe Flo K Type of minor loss Loss in terms of V/2g Pipe fittings: 90° elbow, regular 90° elbow, long radius 45° elbow, regular Return bend, regular Return bend, long radius AWWA tee, flow through side outlet AWWA tee, flow through run AWWA tee, flow split side inlet to run 0.21-0.30 0.14-0.23 0.2 0.4 0.3 0.5-1.80 0.1-0.6 0.5-1.8
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