UDK 62-251-762.89:532.5.013.12 Doi: 10.31772/2712-8970-2021-22-3-494-503
Flow model in the impeller of a centrifugal pump
Nazarov V. P., Chernenko V. V., Chernenko D. V.
Reshetnev Siberian State University of Science and Technology, 31, Krasnoyarskii rabochii prospekt, Krasnoyarsk, 660037, Russian Federation
In accordance with the results of the features analysis of foreign design technology and the creation of aerospace technology products, the certification orientation of all types of work can be traced, starting from the preliminary design stage, which imposes particularly high requirements on the quality of calcula-tion methods, algorithms and software used in the design development of the project. Without the advanced level of domestic developments in the field of modeling hydrodynamic processes in aircraft systems, in the next decade it will become impossible to compete with foreign developers of aviation and rocket-space sys-tems. In accordance with modern theoretical and experimental studies, the flow pattern in the flow path of a vane machine is a complex superposition of the main and secondary flows. The article discusses the me-thod for calculating the fluid flow in the interscapular channel of a centrifugal impeller with a finite num-ber of vanes, the construction of the energy characteristics of the impeller and its optimization by the num-ber of vanes. The calculation consists of two parts: firstly, the determination of the theoretical head taking into account the influence of the finite number of vanes based on analysis of force interaction, and, sec-ondly, determination of hydraulic losses in the impeller by integrating friction stresses along the limiting surfaces. The results from both parts are used to optimize the number of vanes in the pump impeller. Ana-lytically, an equation for the pressure at a point and the coefficient of influence of a finite number of vanes are obtained. Taking into account the law of friction, an expression was obtained for the pressure loss. The described method for calculating the spatial boundary layer is quite simple and intuitive, and gives ap-proximate results that make it possible to estimate the required quantities. However, there is a need for further elaboration of the method to bring it to a form that makes it possible to calculate the three-dimensional flow of the working fluid in a channel of arbitrary shape. Based on the results of theoretical studies, an algorithm and a calculation program were developed that allow calculating local values. The results of the calculation of the theoretical head in the impeller can be used for a more accurate calcula-tion of a centrifugal pump.
Keywords: centrifugal pump, impeller, head, optimization.
References

1.Chernenko D. V. Gidrodinamika tsentrobezhnykh lopatochnykh nagnetateley energosilovykh ustanovok letatel'nykh apparatov. Kand. Diss. [Hydrodynamics of centrifugal vane superchargers of power plants of aircrafts. Cand. Diss.]. Krasnoyarsk, SibSAU, 2005, 167 p.

2.Lomakin V. O. Razrabotka metoda optimal'nogo proektirovaniya otvodyashchego ustrojstva neftyanogo magistral'nogo nasosa. Dokt. Diss.  [Development of a method for the optimal design of a diverting device for an oil main pump. Doct. Diss.]. Moscow, Bauman Moscow State Technical University, 2017, 250 p.

3.Korchinskij V. V. Razrabotka trubchatyh napravlyayushchih apparatov v otvodah vysokooborotnyh centrobezhnyh nasosov s cel'yu snizheniya vibroaktivnosti i uvelicheniya resursa raboty. Kand. Diss.[Development of tubular guide vanes in the outlets of high-speed centrifugal pumps in order to reduce vibration activity and increase the service life. Cand. Diss.]. Moscow, Moscow Aviation Institute (National Research University), 2017. 119 p.

4.Bojko L. G., Barysheva E. S., Demin A. E., DrynovO. N. [Computational study of the flow in an axial centrifugal compressor of an aviation GTE]. Vestnik UGATU. 2013, Vol. 17, No. 4 (57), P. 29–37 (In Russ.).

5.Pugachev P. V. Razvitie metodov rascheta elementov protochnoj chasti shneko-centrobezhnyh nasosov na osnove dvuhmernyh i trekhmernyh modeley techeniya. Kand. Diss. [Development of methods for calculating the elements of the flow path of screw-centrifugal pumps based on two-dimensional and three-dimensional flow models. Cand. Diss.]. St. Petersburg, 2012, 161 p.

6.Karabanova V. V., Vanyashov A. D., Yusha V. L. [Some features of the implementation of the design model of a high-pressure centrifugal compressor stage with outlet guide vanes]. Omskiy nauchnyy vestnik. 2019, Vol. 3, No. 2, P. 62–70 (In Russ.).

7.Protopopov A. A. [Calculation of the optimal parameters of a semi-open impeller of a low-flow centrifugal pump]. Izvestiya MGTU MAMI. 2015, Vol. 1, No. 4, P. 82–89 (In Russ.).

8.Bilalov R. A., Sulimova D. A. Sovremennye sposoby proektirovaniya SAU aviacionnyh dvigatelej na osnove model'no-orientirovannogo podhoda [Modern methods of designing ACS of aircraft engines based on a model-based approach]. Moscow, ICAM 2020, 468 p.

9.Kirillov I. I. Teoriya turbomashin [Turbomachine theory]. Leningrad, Mashinostroyeniye Publ., 1972, 536 p.

10.Stodola A. Steam and gas turbines. New York, P. Smith, 1945, 736 p.

11.Eckert B. Osevye i tsentrobezhnye kompressory [Axial and centrifugal compressors]. Moscow, Mashgiz Publ., 1959, 680 p.

12.Proskura G. F. Gidrodinamika turbomashin [Hydrodynamics of turbomachines]. Moscow, Mashgiz Publ., 1954, 417 p.

13.Pfleiderer K. L. Lopatochnye mashiny dlya zhidkostey i gazov [Vane machines for liquids and gases]. Moscow, Gostechizdat Publ., 1960, 684 p.

14.Schlichting G. Teoriya pogranichnogo sloya [Boundary layer theory]. Moscow, Nauka Publ., 1969, 744 p.

15.Stepanov G. Yu. Gidrodinamika reshetok turbomashin [Hydrodynamics of turbomachine grids]. Moscow, Phismatgiz Publ., 1962, 512 p.


Nazarov Vladimir Pavlovich – Cand. Sc., Professor, Head of the Department of Aircraft Engines; Reshetnev Siberian State University of Science and Technology. E-mail: nazarov@sibsau.ru.

Chernenko Valentina Viktorovna – Post-graduate student of the Department of Refrigeration, Cryogenic Engineering and Air Conditioning; Reshetnev Siberian State University of Science and Technology. E-mail: 2887722@mail.ru.

Chernenko Dmitriy Viktorovich – Cand. Sc., Associate Professor, Associate Professor of the Department of Refrigeration, Cryogenic Engineering and Air Conditioning; Reshetnev Siberian State University of Science and Technology. E-mail: g_ramzes@mail.ru.