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Development of a method for calculating the fluid inertia force in the mathematical model of a straight-line rotary pump

https://doi.org/10.25206/2588-0373-2025-9-3-14-21

EDN: BDLWZI

Abstract

The purpose of the article is to develop a methodology for studying the impact of liquid inertial forces on the operation of a direct rotary pump. The main focus is on creating an improved mathematical model that allows for the inertial effects of the fluid during the transition between suction and injection modes. The work proposes a new modeling approach that eliminates the limitations of traditional methods by considering the mass properties of the fluid and their influence on hydraulic resistances, changes in the working chamber geometry, and flow non-uniformity. The detailed description of model construction includes the physical formulation of the problem and the derivation of mathematical dependencies. The study resulted in the development of a method for calculating instantaneous flow that considering the liquid's angular acceleration, and the conditions for occurrence of the reverse flow. The developed methodology presents a practical value for the design and modernization of hydraulic machines in order to increase their reliability and efficiency during transition operations modes.

About the Authors

S. Yu. Kaigorodov
Omsk State Technical University
Russian Federation

KAIGORODOV Sergey Yuryevich, Candidate of Technical Sciences, Associate Professor of the Hydromechanics and Machines Department

Omsk, Mira Ave., 11, 644050

AuthorID (RSCI): 686382

AuthorID (SCOPUS): 686382



N. E. Kuznetsov
JSC “Scientific and Technical Complex “Cryogenic Technique”
Russian Federation

KUZNETSOV Nikita Eduardovich, Engineer

Omsk, 22 Partsyezda St., 97, bld. 1, 644105



V. L. Zabrovskiy
3JSC “Omsktransmash”
Russian Federation

ZABROVSKIY Vladislav Leonidovich, Engineer

Omsk, Krasniy Ln., 2, 644005



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For citations:


Kaigorodov S.Yu., Kuznetsov N.E., Zabrovskiy V.L. Development of a method for calculating the fluid inertia force in the mathematical model of a straight-line rotary pump. Omsk Scientific Bulletin. Series Aviation-Rocket and Power Engineering. 2025;9(3):14-21. (In Russ.) https://doi.org/10.25206/2588-0373-2025-9-3-14-21. EDN: BDLWZI

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ISSN 2588-0373 (Print)
ISSN 2587-764X (Online)