Combining (1), (2) and (3) the power gained by the fluid from a pump or fan can be expressed as:
P = ρ Q g h (4)
With specific weight expressed as:
γ = ρ g (5)
where
γ= specific weight (N/m3)
equation (4) can be modified so the power gained by the fluid from a pump or fan can be expressed as:
P = γ Q h (6)
Since head can be expressed as
h = (p2 - p1) /γ (7)
equation (4) can be modified so the power gained by the fluid from a pump or fan can be expressed as:
P = Q (p2 - p1) (8)
An inline water pump works between measured pressure 1 bar (1 105 N/m2) and 10 bar (10 105 N/m2). Density of water is 1000 kg/m3. The volume flow is measured to 1 10-3 m3/s.
The actual water head (water column) can be calculated using (7):
h = (p2 - p1) /γ
= (p2 - p1) /ρ g
= ((10 105 N/m2) - (1 105 N/m2)) / (1,000 kg/m3) (9.81 m/s2)
= 91.7 m - water column
The power gained by the fluid can be calculated using equation (4):
P = ρ Q g h
= (1,000 kg/m3) (1 10-3 m3/s) (9.81 m/s2) (91.7 m)
= 899.6 kg.m2/s3 (W)
= 0.9 kW
Piping systems and pumps - centrifugal pumps, displacement pumps - cavitation, viscosity, head and pressure, power consumption and more.
Hydrodynamic losses through pumps depends on fluid viscosities.
The overall pump and fan efficiency is the ratio power gained by the fluid to the shaft power supplied.
Power is the rate at which work is done or energy converted.
Calculate pumps hydraulic and shaft power.
Horsepower required to pump water.
Suction Specific Speed can be used to determine stable and reliable operations for pumps with max efficiency without cavitation.
British Horse Power as used for pumps, fans and turbines - and how to convert to other units.
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