The main goal of the present work is to establish the analysis of a numerical turbulent simulation of an axial pump cascade under two-phase flow presence of liquid and gas, coupled with the “κ-ε” turbulent model. This knowledge is very important for different applications, for example in the oil industry. Indeed, the transport of two-phase flow (oil and gas) that comes from the well implies the utilization of separation and treatment facilities before pumping. It means that a number of economical resources are involved in this kind of industrial operation. Therefore, depending on the function optimization of this type of two-phase pump, it would permit the substitution of the traditional expensive facilities, in addition to energy cost savings. In order to predict the fluid dynamics characteristics of an axial pump cascade under two-phase flow conditions with a view to improving its performance, the present research will describe a multifluid model in order to solve the momentum equations (Navier-Stokes) coupled with the continuity equation. Here, we will use a modified “κ-ε” turbulent model, taking into account the viscosity of the liquid phase and the compressibility of the gas phase, using the CFD simulator: CFX-4.0. As a consequence of this numerical simulation, we will be able to optimize the design of a cascade of an axial two-phase pump and therefore obtain its optimum point of operation.

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