An analytical model of two-phase head and torque of centrifugal pumps was developed. Pressure differences in gas and liquid phases through the pump were assumed to be equal to each other and a two-fluid model was used for evaluation of the pump performance in the case that two-phase flow entered the pump.
Interphase friction had a large effect on calculated results of the two-phase pump performance. Andersen's model of interphase friction in the bubbly flow regime gave the most proper prediction in both normal and reverse direction flows. The analytical results were within data scatter obtained from tests of three model pumps. The agreement between experimental data and the prediction suggests that the present mathematical model is able to describe two-phase flow behavior in the centrifugal pumps.