This paper presents a new incompressible single-phase model for ESP's head performance. Sachdeva (1988) and Cooper (1966) developed models for ESP channels [1, 2] and for inducers [3], respectively. The model presented in this paper is based on one-dimensional approximation along an ESP channel. The new derived pressure ODE (Ordinary Differential Equation) for frictionless incompressible flow is consistent with the pump Euler equation. New models for pump frictional and shock losses have been proposed. Finally, a comparison between the predicted pump performance and the pump performances from Affinity Law for different rotational speeds is presented. The single-phase model can predict ESP performance under different fluid viscosities and also is the basis of gas-liquid model for ESP's head performance.

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