The "model laws" for geometrically similar
centrifugal pumps, call for the following proportionality:
H [ε] (n.D)2
Where H is differential head; n, rotating speed; D, diameter of the impeller.
Strictly speaking, the model laws are only applicable at constant efficiency.
In a great number of cases the highest permissible speed of a pump "n", is determined by its suction performance or the required available NPSH. For a given flow, head and NPSHa values, the permissible speed can be increased by the following measures:
-using impellers of various shapes
-using double-entry first stage impeller
-installing an inducer
-using a booster pump
As for other factors affecting developed heads on centrifugal pumps:
Although most pumps can handle a small quantity of gases w/o losing their priming, dissolved gases, for example free air, will reduce differential heads as the vol% increases.
Additional frictional resistance as imposed by flowing fluids with higher viscosities may also reduce the developed differential head. More NPSH should be made available for higher viscosities.
Addition of inducers may help to increase head at lower flow rates, especially when recirculation at the impeller inlet is present.
Removing part of the shrouds on the impellers may increase heads at low flowrates and at shutoff.
Sharpening the ends of impeller blades may increase heads at all operating flow rates.