Pump: Size | Delivery Height || Drain

Pump: Calculate Delivery Height

Calculator for the delivery height of a pump. This calculation is for advanced and experts, who have knowledge in structure and use of a pump and know the words and measures.

Pressure outlet p2:		Pa
Pressure inlet p1:		Pa
Velocity outlet v2:		m/s
Velocity inlet v1:		m/s
Density medium ρ:		kg/m³
Acceleration of gravity g:		m/s²
Height outlet z2:		m
Height inlet z1:		m
Delivery height H:		m

Round to   0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15   decimal places.

Please enter every value except for one. This one will be calculated.

Formula: H = (p₂−p₁) / (ρg) + (v₂²−v₁²) / (2g) + z₂ − z₁

The pressure is given in pascal, here you can convert pressure units.

The meaning of the units is as follows:
p₁ is the pressure at the pump inlet (bottom), p₂ is the pressure at the pump outlet (top).
ρ is the density of the substance being pumped. This is often water, whose density is preset.
g is the acceleration due to gravity. If you are on Earth, this value is the one specified above.
v₁ is the flow velocity at the pump inlet (bottom), v₂ is the flow velocity at the pump outlet (top).
z₁ is the geodetic height at the pump inlet (bottom), z₂ is the geodetic height at the pump outlet (top). Geodetic height is the height above sea level.
H is the delivery height under the conditions given by the other values. This indicates how high a pump could theoretically push water vertically upwards, considering only the height. It is therefore a measure of the pump's efficiency. This can be increased by a greater pressure difference or speed difference at the inlet and outlet of the pump, provided the pump is powerful enough.

Example of a centrifugal pump pumping water: The pressure at the pump inlet is 1 bar, which corresponds to 100000 Pascals, and the pressure at the outlet is 4.5 bar, or 450000 Pascals. The flow velocity at the pump inlet is 1.5 meters per second, while at the outlet it is 3 meters per second. The geodetic height at the inlet is 1 meter, and at the outlet it is 6 meters. This results in a delivery height H of 41.02 meters. This delivery height indicates how much energy the pump supplies to move the water from the inlet to the outlet. In real-world applications, friction losses in the pipelines must also be taken into account, which can reduce the effective delivery height.

Last updated on 12/13/2025. Author: Jürgen Kummer

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