Analysis of the dependence of the frequencies of cavitation self-oscillations on the supply and cavitation reserve of a centrifugal pump with a side inlet
| Authors: Protsenko A.A., Shkapov P.M., Lomakin V.O., Zaporozhets I.O. | Published: 29.10.2026 |
| Published in issue: #11(800)/2026 | |
| Category: Mechanical Engineering and Machine Science | Chapter: Hydraulic Machines, Vacuum, Compressor Technology, Hydraulic and Pneumatic Systems | |
| Keywords: cavitation frequencies, self-oscillations, centrifugal pump, cavitation reserve, oscillation stability |
This paper presents an analysis of cavitation-induced self-oscillations in a centrifugal vane pump with a side inlet. The study is based on experimental data characterizing the oscillation period as a function of flow rate and net positive suction head . An approximating surface is constructed, enabling the identification of zones with varying sensitivity of the period to changes in each operational parameter. A partial differential equation, derived using the Sparse Identification of Nonlinear Dynamics (SINDy) method, models the underlying system dynamics. The analysis further includes the construction of gradient maps to delineate zones of synergistic and antagonistic parameter influence, as well as a curvature map based on the eigenvalues of the Hessian matrix. The results provide a foundation for predicting and optimizing pump operating regimes to mitigate cavitation oscillations. Furthermore, the findings offer insights for adapting the flow paths in BB3-type vane pumps operating under inlet vacuum conditions and in regimes characterized by a flow rate below the optimal operating point. The analysis yields new perspectives on the mechanisms governing cavitation self-oscillations.
EDN: QFDWCH, https://elibrary/qfdwch
References
[1] Kinelev V.G., Shkapov P.M. Dynamics of a bounded gas cavity in a pipe. Prikladnaya mekhanika i tekhnicheskaya fizika, 1992, vol. 61, no. 4, pp. 578–585, doi: https://doi.org/10.1007/BF00872589 (in Russ.). (Eng. version: Journal of Engineering Physics, 1991, vol. 61, no. 4, pp. 1218–1224, doi: https://doi.org/10.1007/BF00872589)
[2] Kolesnikov K.S., Kinelev V.G. Fluid oscillations in a fuel line caused by pulsations of separation zones in a screw pre-pump. Izv. AN SSSR. Energ. i transp., 1976, no.?6, pp.?155–164. (In Russ.).
[3] Pilipenko V.V., Zadontsev M.S., Natanzon M.S. Kavitatsionnye avtokolebaniya i dinamika gidrosistem [Cavitation self-oscillations and dynamics of hydraulic systems.]. Moscow, Mashinostroenie Publ., 1977. 352 p. (In Russ.).
[4] Ovsyannikov A.N., Chebaevskiy V.I. Vysokooborotnye osevye nasosy [High-speed axial pumps]. Moscow, Mashinostroenie Publ., 1977. 312 p. (In Russ.).
[5] Kinelev V.G. Cavitation in axial pumps. Izvestiya RAN. Energetika [Energetics: Bulletin of the Russian Academy of Sciences], 1993, no.?3, pp.?146–156. (In Russ.).
[6] Zhulay Yu.A. Theoretical analysis of the dynamic stability of a screw-centrifugal pump-pipeline system with a non-traditional region of existence of cavitation self-oscillations. Aviatsionno-kosmicheskaya tekhnika i tekhnologiya, 2008, no. 1, pp. 50–53. (In Russ.).
[7] Serdyuk N.I. Experimental study of the amplitude-frequency parameters of cavitation oscillations in a liquid. Gornyy informatsionno-analiticheskiy byulleten [Mining Informational and Analytical Bulletin], 2005, no. 3, pp. 343–345. (In Russ.).
[8] Lomakin V.O., Petrov A.I., Kuleshova M.S. Investigation of two-phase flow in axial-centrifugal impeller by hydrodynamic modeling methods. Nauka i obrazovanie: nauchnoe izdanie [Science & Education of the Bauman MSTU], 2014, no. 9. EDN: TDPOJT (in Russ.).
[9] Fomenko V.D., Petrov A.I., Efremov E.V. Study of the potential use of hydrodiodes to enhance the volumetric efficiency of a centrifugal pump. Izvestiya MGTU MAMI, 2024, vol.?18, no.?3, pp.?180–189, doi: https://doi.org/10.17816/2074-0530-630123 (in Russ.).
[10] Zhulay Yu.A., Dolgopolov S.I., Grabovskaya T.A. Mathematical modeling of joint longitudinal vibrations of the pipeline structure and liquid during cavitation vibrations in the fuel lines of a liquid-propellant rocket engine. Aviatsionno-kosmicheskaya tekhnika i tekhnologiya, 2009, no. 5, pp. 58–63. (In Russ.).
[11] Zhulay Yu.A. Dynamic tests of a screw centrifugal pump in the cavitation self-oscillation mode. Vesnik dvigatelestroeniya, 2006, no. 3, pp. 144–148. (In Russ.).
[12] Kalachev V.V. Cavitation in jet pumps and its consideration at optimization and designing of pumps of this type. Gidravlika, 2016, no. 2. URL: https://hydrojournal.ru/images/journal/number2/Kalachev.pdf (in Russ.).
[13] Ukolov A.I., Rodionov V.P., Starovoytov P.P. Simulation of centrifugal pump impeller with maximum cavitation effect. Nauchno-tekhnicheskiy vestnik informatsionnykh tekhnologiy, mekhaniki i optiki [Scientific and Technical Journal of Information Technologies, Mechanics and Optics], 2017, vol. 17, no. 5, pp. 910–919, doi: https://doi.org/10.17586/2226-1494-2017-17-5-910-919 (in Russ.).
[14] Protopopov A.A., Vigovskiy V.I. Multicriteria optimization of a high-speed centrifugal pump. Politekhnicheskiy molodezhnyy zhurnal [Politechnical Student Journal], 2017, no. 5. DOI: http://dx.doi.org/10.18698/2541-8009-2017-5-93 (in Russ.).
[15] Zhulay Yu.A., Skosar V.Yu. Cavitation as a means of intensifying technological processes. Application experience and prospects (review). Aviatsionno-kosmicheskaya tekhnika i tekhnologiya, 2013, no. 8, pp. 7–15, doi: https://doi.org/10.35596/1729-7648-2024-22-3-36-43 (in Russ.).
[16] Ivanova V.R., Kiselev I.N. Frequency-adjustable electric drive for energy saving and optimization of technological processes in electrical complexes. Izvestiya vysshikh uchebnykh zavedeniy. Problemy energetiki [Power Engineering: Research, Equipment, Technology], 2019, vol. 21, no. 5, pp. 59–70, doi: https://doi.org/10.30724/1998-9903-2019-21-5-59-70 (in Russ.).
[17] Lele Ch. A hybrid method for structural-parametric identification of dynamic systems. Sistemy analiza i obrabotki dannykh [Analysis and Data Processing Systems], 2025, no. 2, pp. 111–122, doi: https://doi.org/10.17212/2782-2001-2025-2-111-122 (in Russ.).