Question

A 7-hp (shaft) pump is used to raise water to an elevation of 15 m. If the mechanical efficiency of the pump is 82 percent, determine the maximum volume flow rate of water.

Answer 1

The maximum volume flow rate of water is determined as 0.029 m³/s.

Power of the pump

The power of the pump is watt is calculated as follows;

1 hp = 745.69 W

7 hp = ?

= 7 x 745.69 W

= 5,219.83 W

Mass flow rate of water

η = mgh/P

mgh = ηP

m = ηP/gh

m = (0.82 x 5,219.83)/(9.8 x 15)

m = 29.12 kg/s

Maximum volume rate

V = m/ρ

where;

• ρ is density of water = 1000 kg/m³

V = (29.12)/(1000)

V = 0.029 m³/s

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