Water from a nearby lake is to be used for a fountain and a water tank. The figure below shows the elevations and pipe connections. It is desired that the jet water of the fountain reaches a height of at least 2.5 m from the nozzle outlet. As for the tank, it is elevated in order for it to distribute water using gravity. The specifications of nozzle, suction and discharge pipes are given in the table below. Assuming negligible minor head losses, what is the minimum power input to the pump in kW? Take pump efficiency to be 88% and motor efficiency, 95%. Water from the fountain is returned to the lake through a drainage (not shown in the figure). round off the answer to 4 decimal places

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Water from a nearby lake is to be used for a fountain and a water tank. The figure below shows the elevations and pipe connections. It is desired that the jet water of the fountain reaches a height of at least 2.5 m from the nozzle outlet. As for the tank, it is elevated in order for it to distribute water using gravity. The specifications of nozzle, suction and discharge pipes are given in the table below. Assuming negligible minor head losses, what is the minimum power input to the pump in kW? Take pump efficiency to be 88% and motor efficiency, 95%. Water from the fountain is returned to the lake through a drainage (not shown in the figure).

round off the answer to 4 decimal places

Nozzle
0.25 in. (6.35 mm)
230 mm
Outlet Diameter
Height (H)
Suction Pipe
Polyvinyl chloride
0.0568
Material
Friction Factor
Diameter
2 in. (50.8 mm)
Length
7.5 m
Main Discharge Pipe
Steel
Material
Friction Factor
0.023
2 in. (50.8 mm)
10.5 m
Diameter
Length
Pipe Branch to Nozzle
Steel
Material
Friction Factor
0.023
Diameter
1 in. (25.4 mm)
Length
3 m
Pipe Branch to Tank
Steel
Material
Friction Factor
0.023
1 in. (25.4 mm)
9 m
Diameter
Length
Transcribed Image Text:Nozzle 0.25 in. (6.35 mm) 230 mm Outlet Diameter Height (H) Suction Pipe Polyvinyl chloride 0.0568 Material Friction Factor Diameter 2 in. (50.8 mm) Length 7.5 m Main Discharge Pipe Steel Material Friction Factor 0.023 2 in. (50.8 mm) 10.5 m Diameter Length Pipe Branch to Nozzle Steel Material Friction Factor 0.023 Diameter 1 in. (25.4 mm) Length 3 m Pipe Branch to Tank Steel Material Friction Factor 0.023 1 in. (25.4 mm) 9 m Diameter Length
VENT -
(GRAVITY TANK)
8 m
2.5 m
(NOZZLE)
H
PIPE BRANCH TO FOUNTAIN
10 m
(PUMP CENTERLINE)
(PUMP)
6 m
STRAINER
LAKE
MAIN DISCHARGE PIPE
PIPE BRANCH TO TANK
Transcribed Image Text:VENT - (GRAVITY TANK) 8 m 2.5 m (NOZZLE) H PIPE BRANCH TO FOUNTAIN 10 m (PUMP CENTERLINE) (PUMP) 6 m STRAINER LAKE MAIN DISCHARGE PIPE PIPE BRANCH TO TANK
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