Parameters of the mathematical model for calculating numerically the flow in the flow path of a centrifugal pump with account for side slots
| Authors: Svoboda D.G., Zhuravkov A.V., Shchur V.A., Blinkovsky A.M., Klyuyev A.S. | Published: 15.01.2026 |
| Published in issue: #1(790)/2026 | |
| Category: Mechanical Engineering and Machine Science | Chapter: Hydraulic Machines, Vacuum, Compressor Technology, Hydraulic and Pneumatic Systems | |
| Keywords: centrifugal pump, flow part, impeller, side slots, boundary conditions, integral parameters |
The article presents the results of research on mathematical modelling of flow calculation in the flowing part of a centrifugal submersible pump with high speed. Different models taking into account the presence of slotted seals and side slots are considered. Predicted values of pump energy parameters, axial force and volumetric leakage through seals are obtained. Verification of numerical research is planned on the results of tests of the prototype pump.
EDN: LNAYSR, https://elibrary/lnaysr
References
[1] Lomakin A.A. Tsentrobezhnye i osevye nasosy [Centrifugal and axial pumps]. Moscow, Mashinostroenie Publ., 1966. 364 p. (In Russ.).
[2] Malyushenko V.V., Mikhaylov A.K. Energeticheskie nasosy [Power pumps]. Moscow, Energoizdat, 1981. 200 p. (In Russ.).
[3] Gulich J.F. Centrifugal pumps. Springer, 2014. 1116 p., doi: https://doi.org/10.1007/978-3-642-40114-5
[4] Zharkovskiy A.A. Matematicheskoe modelirovanie rabochikh protsessov v tsentrobezh-nykh nasosakh nizkoy i sredney bystrokhodnosti dlya resheniya zadach avtomatizirovannogo proektirovaniya. Diss. dok. tekh. nauk [Mathematical modeling of working processes in centrifugal pumps of low and medium speed for solving problems of computer-aided design. Doc. tech. sci. diss.]. Sankt-Peterburg, SPbGPU Publ., 2003. 567 p. (In Russ.).
[5] Staseev A.A. [Automated design of 3d models of spiral outlet of a centrifugal pump stage using kompas-3D API]. Tinchurinskie chteniya – 2024. Energetika i tsifrovaya transformatsiya. Mat. Mezhd. nauch. konf. T. 2 [Tinchurin Readings – 2024. Energetics and Digital Transformation. Proc. Int. Sci. Conf. Vol. 2]. Kazan, KGEU Publ., 2024, pp. 477–480. (In Russ.).
[6] Staseev A.A., Zharkovskiy A.A. Automated design of the 3D models of the elements of the flow part of the stage of a screw-centrifugal pump. Izvestiya MGTU MAMI, 2024, vol. 18, no. 3, pp. 212–221, doi: https://doi.org/10.17816/2074-0530-632427 (in Russ.).
[7] Lomakin V.O., Shcherbachev P.V., Tarasov O.I. et al. Creating parameterized 3d-models of the flow part in centrifugal pumps. Nauka i obrazovanie: nauchnoe izdanie [Science and Education: Scientific Publication], 2012, no. 4. EDN: PGRGOL (In Russ.).
[8] Zimnitskiy V.A., Umov V.A., ed. Lopastnye nasosy [Vane pumps]. Leningrad, Mashinostroenie Publ., 1986. 334 p. (In Russ.).
[9] Stepanoff A.J. Centrifugal and axial flow pumps. Theory, design, and application. Wiley, 1957. 462 p. (Russ. ed.: Tsentrobezhnye i osevye nasosy. Teoriya, konstruirovanie i primenenie. Moscow, MAShGIZ Publ., 1960. 463 p.)
[10] Zharkovskiy A.A., Borshchev I.O., Svoboda D.G. et al. Calculation of thrust bearings for pumps with the self-aligning shoes without eccentricity. Nasosy. Turbiny. Sistemy [Pumps. Turbines. Systems], 2019, no. 2, pp. 44–52. (In Russ.).
[11] Chernov A.I. Poteri i sily v tsentrobezhnykh nasosakh [Losses and forces in centrifugal pumps]. Leningrad, LKI Publ., 1985. 82 p. (In Russ.).
[12] Pugachev P.V., Svoboda D.G., Zharkovskiy A.A. Raschet i proektirovanie lopastnykh gidromashin [Calculation and design of vane hydraulic machines]. Sankt-Peterburg, Izd-vo Politekhn. un-ta Publ., 2016. 120 p. (In Russ.).
[13] Svoboda D.G., Zharkovskiy A.A., Borshchev I.O. et al. Optimization of the flowing part of the od - 11 axle pump. Nasosy. Turbiny. Sistemy [Pumps. Turbines. Systems], 2022, no. 3, pp. 72–82. (In Russ.).
[14] Shokin Yu.I., ed. Chislennoe modelirovanie techeniy v turbomashinakh [Numerical simulation of flows in turbomachines]. Novosibirsk, Nauka Publ., 2006. 201 p. (In Russ.).
[15] Garbaruk A.V., Strelets M.Kh., Shur L. Modelirovanie turbulentnosti v raschetakh slozhnykh techeniy [Turbulence modeling in calculations of complex flows]. Sankt-Peterburg, Izd-vo Politekhn. un-ta Publ., 2012. 88 p. (In Russ.).