Abstract
Progressive Cavity Pumps (PCP) are becoming more and more common in various industries. In the oil and gas sector, PCP are widely used in downhole pumping units for oil production, as well as multiphase pumps for transporting gas-liquid mixtures. In recent decades, PCP have been widely used in the drilling mud circulation systems in fine cleaning units using centrifuges, as well as in various environmental projects. At the same time, industrial experience shows that in order to increase the efficiency of the PCP in various technological processes in the oil, construction, food and other industries, it is necessary to clarify some provisions of the theory and practice of using single-screw hydraulic machines in nonstandard operating conditions. One of these issues, which has not yet been fully reflected in scientific and reference publications, is the study of the process of filling screw working cavities in the case of pumping high-viscosity fluids.
 The article discusses the theoretical foundations of modeling the process of filling the PCP and proposes dependencies for determining the filling factor, which allows for a reasonable approach to the choice of geometric and operational parameters of the pump in a wide range of changes in the properties of pumped products.
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