Three-dimensional periodic thermoelastichydrodynamic modeling of hydrodynamic processes of a thrust bearing

Cite item

Full Text


The article presents the basic principles of three-dimensional mathematical modeling of the operation of a thrust plain bearing with fixed pads of the compressor. The model is based on the periodic thermoelastichydrodynamic (PTEHD) theory which allows calculating the temperature at the inlet to the pad and considering the complete thermal pattern. A description of the main provisions of the numerical implementation is given. In the stationary mode of the bearing’s operation, using the Sm2Px3Txτ program, numerical experiments were carried out aimed at studying different boundary conditions to the Reynolds equation, the physics of the hydrodynamic process in the lubricating and boundary films of the bearing and the heat propagation in the body of the pad and thrust collar.

About the authors

N. V. Sokolov

Kazan National Research Technological University; JSC NIIturbokompressor named after V.B. Schnepp

Author for correspondence.

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

Russian Federation

M. B. Khadiev

Kazan National Research Technological University


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

Russian Federation

P. E. Fedotov

Kazan (Volga Region) Federal University


Postgraduate Student

Russian Federation

E. M. Fedotov

“AST Povolzhie” LLC


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

Russian Federation


  1. 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).
  2. Maksimov V.A., Batkis G.S. Osnovy tribotekhniki i germetologii: uchebnik [Fundamentals of triboengineering and hermetology: textbook]. Kazan: Titul-Kazan Publ., 2007. 312 p.
  3. Serezhkina L.P., Zaretskiy E.I. Osevye podshipniki moshchnykh parovykh turbin [Axial bearings for high- power steam turbines]. Moscow: Mashinostroenie Publ., 1988. 176 p.
  4. Uskov M.K., Maksimov V.A. Gidrodinamicheskaya teoriya smazki: etapy razvitiya, sovremennoe sostoyanie, perspektivy [Hydrodynamic theory of lubrication: stages of development, state-of-the-art, prospects]. Moscow: Nauka Publ., 1985.143 p.
  5. Maksimov V.A., Khadiev M.B., Fedotov E.M. Determination of hydrodynamic and thermal characteristics of thrust bearings by mathematical modeling. Vestnik Mashinostroeniya. 2004. No. 6. P. 39-45. (In Russ.)
  6. 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, Iss. 4. doi: 10.1088/1742-6596/1158/4/042019
  7. Khadiev M.B., Sokolov N.V., Fedotov E.M. Hydrodynamic, heat and deformation characteristics of lubrication layers of thrust bearings with chamfers parallel to radial inter-pad channel. Vestnik Mashinostroeniya. 2014. No. 6. P. 54-59. (In Russ.)
  8. Khadiev M.B. Gidrodinamicheskie, teplovye i deformatsionnye kharakteristiki smazochnykh sloev upornykh podshipnikov turbomashin [Hydrodynamic, thermal and deformation characteristics of lubricating films of thrust bearings of turbomachines]. Kazan: Kazan State Technical University Publ., 2001. 96 p.
  9. Mikula A.M., Gregory R.S. A comparison of tilting pad thrust bearing lubricant supply methods. Journal of Tribology. 1983. V. 105, Iss. 1. P. 39-45. doi: 10.1115/1.3254540
  10. He M., Byrne J.M., Cloud C., Vazquez J. Steady state performance predictions of directly lubricated fluid film journal bearings. Proceedings of the 41st Turbomachinery Symposium (September, 24-27, 2012, Houston, Texas). DOI:
  11. Podolskiy M.E. Upornye podshipniki skol'zheniya: Teoriya i raschet [Thrust plain bearings: Theory and calculation]. Leningrad: Mashinostroenie, Leningradskoe Otdelenie Publ., 1981. 261 p.
  12. Gardner W.W. Tilting pad thrust bearing tests - Influence of oil flow rate on power loss and temperatures. Tribology Series. 1988. V. 34. P. 211-217. doi: 10.1016/S0167-8922(98)80076-X
  13. Dolean V., Jolivet P., Nataf F. An introduction to domain decomposition methods: algorithms, theory and parallel implementation. France. Master. 2015. 284 p.
  14. Fedotov E.M. Limit Galerkin-Petrov schemes for the nonlinear convection-diffusion equation. Differential Equations. 2010. V. 46, Iss. 7. P. 1042-1052. doi: 10.1134/S0012266110070116
  15. 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.

Supplementary files

Supplementary Files

Copyright (c) 2021 VESTNIK of Samara University. Aerospace and Mechanical Engineering

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies