Modeling of supercharger rotor imbalance caused by deposits in its flow path

About the authors:

Mikhail S. Stepanov, Senior Lecturer, Department of Gas and Oil Transportation Systems and Equipment of the Oil and Gas Industry, Institute of Oil, Gas and Power Engineering, Kuban State Technological University, Krasnodar, Russia; m.s.stepanov@mail.ru, https://orcid.org/0000-0002-0513-2681

Alexey V. Bunyakin, Cand. Sci. (Phys.-Math.), Associate Professor, Department of Mathematical and Computer Methods, Kuban State University, Krasnodar, Russia; alex.bunyakin@mail.ru, https://orcid.org/0000-0002-1849-1667



Vladislav I. Dunaev, Dr. Sci. (Phys.-Math.), Professor, Department of Gas and Oil Transportation Systems and Equipment of the Oil and Gas Industry, Institute of Oil, Gas and Power Engineering, Kuban State Technological University, Krasnodar, Russia; dunayev1964@bk.ru, https://orcid.org/0000-0002-4166-6808

Abstract:

The paper analyses a mathematical model describing the imbalance of a centrifugal supercharger rotor caused by uneven distribution of deposits in the flow part of its first stage.

The aim of the study is to quantitatively estimate the magnitude of this imbalance, depending on the operating data of the unit, allowing direct measurement.

An analytical expression for the torque on the supercharger rotor is obtained, taking into account the relations between the redistributed flow rate, dynamic viscosity of the gas and the thickness of the deposit layer, allowing us to estimate the magnitude of the force that creates a dynamic imbalance of the rotor.

The results of the study can be used to diagnose the presence of deposits in the interblade channels of a centrifugal supercharger of natural gas, indicating the need for maintenance of the flow part of the unit directly based on its technical condition.

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