Pumps (and fans) can be characterised by various dimensionless parameters.
The most important of these is the specific speed
These dimensionless parameters can be used calculate how similar pumps operate under differing conditions (the similarty laws). These similarty laws (detailed below) can be used to select a pump given a duty point.
The specific speed,
Ns = Q0.5·n/(g·H)0.75
Specific speed can also be calculated as follows where
Ns = φ0.5/ψ0.75
The specific speed of a pump is associated with the impeller shape
The flow parameter,
φ = Q/n/D3
The pressure parameter,
ψ = g·H/n2/D2
The power parameter,
Π = φ·ψ·η
The diameter parameter,
Δ = ψ0.25/φ0.5