# Gear pump volume and pressure difference

The diagram shows a gear pump. The maximum diameter of the gear wheels is 80 mm, the diameter of the roots of the teeth is 50 mm and the tooth width is 20mm. If the pump is driven at 500 rpm, please estimate the volume of oil pumped every minute.

If the pressure difference across the pump is 50 bar, what shaft power has to be provided by the drive motor? You may assume the efficiency of the pump is 80%.

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#### Solution Preview

The first part is actually the main problem since approximation can be done in many ways according to the required accuracy. This solution provides the simplest formula which is used in the reference. The second part is straight-forward. Please see the attached.

Q. Gear pump

The diagram shows a gear pump. The maximum diameter of the gear wheels is 80 mm, the diameter of the roots of the teeth is 50 mm and the tooth width is 20mm. If the pump is driven at 500 rpm, please estimate the volume of oil pumped every minute.

If the pressure difference across the pump ...

#### Solution Summary

This solution provides a step-by-step explanation in 342 words how to calculate pump volumetric efficiency and overall pump efficiency through the use of calculations. The answer is attached in a .doc file.