 # Modification of the pump characteristic curve

Section summary
1. Definition
2. Change of speed
3. Change of impeller diameter
4. Change of fluid viscosity

## 1. Definition

The pump characteristic is an essential tool in selection and troubleshooting of pumps. It gives the performance of the pump by plotting, on a same graph :
- The pump Head H (m)
- The pump efficiency η (%)
- The NPSH (m)
- The power P (kW)
As a function of the flow rate Q (m3/h)

However, it happens often in industrial environment that the pump characteristic is available in certain conditions (pump rotation speed, diameter of the impeller). It can be very useful to be able to approximate the head or capacity that would be experienced by changing one parameter.

Please note that the method presented is an approximation. For detail design, the pump characteristic in the design conditions is required.

## 2. Change of speed

The change of head when changing the rotation speed can be approximated the following way : Equation 1 : Approximation of change pump head when change pump speed

H1 = pump head in reference conditions (m)
H2 = pump head in new conditions (m)
RPM1 = reference rotation speed (rpm)
RPM2 = rotation speed in new conditions (rpm)

The change of capacity when changing the rotation speed can be approximated the following way : Equation 2 : Approximation of change of pump capacity when change pump speed

Q1 = pump capacity in reference conditions (m3/h)
Q2 = pump capacity in new conditions (m3/h)
RPM1 = reference rotation speed (rpm)
RPM2 = rotation speed in new conditions (rpm)

## 3. Changes of impeller diameter

It is possible to have an idea (very approximate) of the change of head when changing the impeller diameter at constant speed thanks to the following relations : Equation 3 : Approximation of change pump head when change pump impeller diameter

H1 = pump head in reference conditions (m)
H2 = pump head in new conditions (m)
D1 = reference impeller diameter (m)
D2 = new impeller diameter (m)

The change of capacity when changing the rotation speed can be approximated the following way : Equation 4 : Approximation of change of pump capacity when change pump impeller diameter

Q1 = pump capacity in reference conditions (m3/h)
Q2 = pump capacity in new conditions (m3/h)
D1 = reference impeller diameter (m)
D2 = new impeller diameter (m)

## 4. Changes in pump characteristic due to viscosity

Pump characteristics are based on tests made with water. If the viscosity of the fluid actually handled changes significantly, the pump performance will be affected.

If the viscosity of the fluid is less than 10 cSt (this value can go up to 50 cSt for high capacioty pumps), the performance will remain constant. With higher viscosity fluids, it will drop.

The actual pump capacity can be calculated a viscosity correction chart. Figure 1 : Viscosity correction chart (please refer to Standard of the Hydraulic Institute, New York, for actual graph)