Comparison of quasi-three-dimensional and full three-dimensional formulations of thrust bearing operation

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The results of calculating the characteristics of a thrust bearing with fixed pads of a centrifugal or screw compressor, determined on the basis of a numerical implementation of a periodic thermoelastohydrodynamic mathematical model in quasi-three-dimensional and full three-dimensional formulations, are compared. In the first case, the energy equation is solved on the middle radius of the bearing, and the result of the calculation is extended to the entire fluid flow of the lubricant film and boundary layer (Sm2Px2T program). In the second case, the full three-dimensional equation of the energy of the lubricant film and boundary layer, the thrust collar and the pad is solved, taking into account the heat exchange between the working areas of the bearing and with the environment (Sm2Px3Txτ program). Appropriate conclusions are made.

作者简介

N. Sokolov

Kazan National Research Technological University

编辑信件的主要联系方式.
Email: sokol-88@list.ru
ORCID iD: 0009-0001-2657-9503

Candidate of Science (Engineering), Associate Professor, Associate Professor of the Department of Compressor Machines and Units

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M. Khadiev

Kazan National Research Technological University

Email: mullagali@gmail.com

Doctor of Science (Engineering), Professor, Professor of the Department of Compressor Machines and Units

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P. Fedotov

Kazan (Volga Region) Federal University

Email: paulfedotov@mail.ru
ORCID iD: 0000-0002-3398-7505

Postgraduate Student and Teaching Assistant  of the Department of Applied Mathematics and Artificial Intelligence

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E. Fedotov

AST Volga region LLC

Email: eugeny.fedotov@mail.ru

Doctor of Science (Phys. & Math.), Associate Professor, Deputy Director

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参考

  1. Sokolov N.V. Upornye podshipniki skol'zheniya kompressornykh mashin s profilirovannymi rabochimi poverkhnostyami. Dis. ... kand. tekhn. nauk [Thrust bearings of compressor machines with profiled working surfaces. Thesis for a Candidate Degree (Engineering)]. Kazan, 2014. 250 p.
  2. Dadouche A., Fillon M., DeCamillo S.M. Hydrodynamic fixed geometry thrust bearings. Encyclopedia of Tribology. 2013. P. 1718-1729. doi: 10.1007/978-0-387-92897-5_48
  3. He M., Byrne J.M. Fundamentals of fluid film thrust bearing operation and modeling. Proceedings of the 48th Turbomachinery and 35th Pump Symposia (September, 9-12, 2019, Houston, Texas).
  4. Uskov M.K., Maksimov V.A. Gidrodinamicheskaya teoriya smazki: etapy razvitiya, sovremennoe sostoyanie, perspektivy [Hydrodynamic lubrication theory: stages of development, current state, prospects]. Moscow: Nauka Publ., 1985. 143 p.
  5. Reynolds O. On the theory of lubrication and its application to Mr. Beauchamps Tower’s experiments, including an experimental determination of the viscosity of olive oil. Proceedings of the Royal Society of London. 1886. V. 40, Iss. 242-245. P. 191-203. doi: 10.1098/rspl.1886.0021
  6. He M., Hunter Cloud C., Vázquez J.A. The effects of temporal fluid inertia on tilting pad journal bearing dynamics. Mechanisms and Machine Science. 2015. V. 21. P. 805-819. doi: 10.1007/978-3-319-06590-8_66
  7. Khadiev M.B. Issledovanie i raschet gidrodinamicheskikh upornykh podshipnikov s nepodvizhnymi podushkami. Dis. ... kand. tekhn. nauk [Research and calculation of fluid film thrust bearings with fixed pads. Thesis for a Candidate Degree (Engineering)]. Kazan, 1979. 309 p.
  8. Dowson D. A generalized Reynolds equation for fluid-film lubrication. International Journal of Mechanical Sciences. 1962. V. 4, Iss. 2. P. 159-170. doi: 10.1016/S0020-7403(62)80038-1
  9. Khadiev M.B. Gidrodinamicheskie, teplovye i deformatsionnye kharakteristiki smazochnykh sloev oporno-uplotnitel'nykh uzlov turbomashin. Dis. ... dokt. tekhn. nauk [Hydrodynamic, thermal and stress-related characteristics of lubricating films of bearing and sealing units of turbomachines]. Kazan, 2002. 410 p.
  10. Khadiev M.B., Khamidullin I.V. Kompressory v tekhnologicheskikh protsessakh. raschet podshipnikov skol'zheniya tsentrobezhnykh i vintovykh kompressorov [Compressors in technological processes. Calculation of plain bearings of centrifugal and screw compressors]. Kazan: Kazan National Research Technological University Publ., 2021. 260 p.
  11. Fedotov E.M. Limit Galerkin-Petrov schemes for a nonlinear convection-diffusion equation. Differential Equations. 2010. V. 46, Iss. 7. P. 1042-1052. doi: 10.1134/S0012266110070116
  12. Cope W.F. The hydrodynamical theory of film lubrication. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. 1949. V. 197, Iss. 1049. P. 201-217. doi: 10.1098/rspa.1949.0059
  13. Sokolov N.V., Khadiev M.B., Fedotov P.E., Fedotov E.M. Three-dimensional periodic thermoelastichydrodynamic modeling of hydrodynamic processes of a thrust bearing. Vestnik of Samara University. Aerospace and Mechanical Engineering. 2021. V. 20, no. 3. P. 138-151. (In Russ.). doi: 10.18287/2541-7533-2021-20-3-138-151
  15. Sokolov N.V., Khadiev M.B., Maksimov T.V., Fedotov E.M., Fedotov P.E. Mathematical modeling of dynamic processes of lubricating layers thrust bearing turbochargers. Journal of Physics: Conference Series. 2019. V. 1158. doi: 10.1088/1742-6596/1158/4/042019
  16. Reduktory energeticheskikh mashin: spravochnik / pod obshch. red. Yu.A. Derzhavtsa [Reducers of energy machines: reference book / under the general editorship of Yu.A. Derzhavets]. Leningrad: Mashinostroenie Publ., 1985. 232 p.
  17. Fedotov E.M., Khadiev M.B., Sokolov N.V. Sm2Px2T – Techenie zhidkosti v zazorakh i kanalakh mezhdu podushkami upornogo podshipnika [Sm2Px2T – Fluid flow in gaps and grooves between thrust bearing pads]. Certificate of state registration for a computer program, no. 2013615688, 2013.
  19. Fedotov P.E., Fedotov E.M., Sokolov N.V., Khadiev M.B. Sm2Px3Txτ – Dinamicheski nagruzhennyy upornyy podshipnik skol'zheniya pri postanovke pryamoy zadachi [Sm2Px3Txτ – Dynamically loaded thrust plain bearing in a direct problem setting]. Certificate of state registration for a computer program, no. 2020615227, 2020.
  20. Sokolov N.V., Khadiev M.B., Fedotov P.E., Fedotov E.M. Mathematical model of a dynamically loaded thrust bearing of a compressor and some results of its calculation. Lecture Notes in Computational Science and Engineering. 2022. V. 141. P. 461-473. doi: 10.1007/978-3-030-87809-2_35
  22. Sokolov N.V., Khadiev M.B., Fedotov P.E., Fedotov E.M. Influence of the lubricant’s supply temperature on the operation of a fluid film thrust bearing. Russian Engineering Research. 2023. V. 43, Iss. 3. P. 264-271. doi: 10.3103/S1068798X23040329

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