Нeat and mass transfer models at boundary lubrication to determine the transition temperatures


  • O. Dykha Khmelnitskyi National University
  • A. Staryi Khmelnitskyi National University




maximum lubrication, transition temperatures, mathematical model


At present, kinetic and thermodynamic methods for assessing the lubricating effect of oils are being increasingly developed. At the limit friction, the reduction of friction and wear of surfaces is due to the ability of the lubricant to form layers of adsorption or chemical origin on the surface. Analytical models of transition temperatures and wear in the limit lubrication mode must be used to mathematically describe the processes in the subsystems and the transition between them. The Fourier equation of thermal conductivity is accepted as the basic calculated dependence. It is assumed that the process of heat propagation under the conditions of formation of lubricating films is not Markovian, i.e. the magnitude of the heat flux is determined by the entire "history" of heat transfer in a certain elementary volume. The equation of motion of a lubricating film over the surface of a body that is being lubricated is obtained from the equation of motion for a Newtonian continuous medium. As a result, nonlinear heat and mass transfer models are obtained to determine the transition temperatures in the formation of boundary lubricating films in the concept of structural-thermodynamic approaches to describe the processes of boundary lubrication of surfaces


1. X. Liang, L. Chen, Y. Wang, L. A proposed torque calculation model for multi-plate clutch considering boundary lubrication conditions and heat transfer. International Journal of Heat and Mass Transfer, Volume 157, 2020, 119732, ISSN 0017-9310. https://doi.org/10.1016/j.ijheatmasstransfer.2020.119732.
2. U. W. Khan, I. A. Badruddin, A. Ghaffari, H. M. Ali. Heat transfer in steady slip flow of tangent hyperbolic fluid over the lubricated surface of a stretchable rotatory disk. Case Studies in Thermal Engineering, Volume 24, 2021, 100825, ISSN 2214-157X. https://doi.org/10.1016/j.csite.2020.100825.
3. B. Zhao, X. Hu, H. Li, X. Si, Q. Dong, Z. Zhang, B. Zhang. A new approach for modeling and analysis of the lubricated piston skirt-cylinder system with multi-physics coupling. Tribology International, Volume 167, 2022, 107381, ISSN 0301-679X. https://doi.org/10.1016/j.triboint.2021.107381.
4. B. Jiao, T. Li, X. Ma, C. Wang, H. Xu, X. Lu, Z. Liu. Lubrication analysis of the piston ring of a two-stroke marine diesel engine considering thermal effects. Engineering Failure Analysis, Volume 129, 2021, 105659, ISSN 1350-6307. https://doi.org/10.1016/j.engfailanal.2021.105659.
5. J. Liu, Z. Xu. A simulation investigation of lubricating characteristics for a cylindrical roller bearing of a high-power gearbox. Tribology International, Volume 167, 2022, 107373, ISSN 0301-679X. https://doi.org/10.1016/j.triboint.2021.107373.
6. M.N. Sadiq, M. Sajid, T. Javed, N. Ali. Modeling and simulation for estimating thin film lubrication effects on flow of Jeffrey liquid by a spiraling disk. European Journal of Mechanics - B/Fluids, Volume 91, 2022, P. 167-176, ISSN 0997-7546. https://doi.org/10.1016/j.euromechflu.2021.10.002.
7. Lubricants: Anti-friction and anti-wear properties. Test methods: reference book / R.M. Matveeevsky, V.L. Lashkhi, I.A. Buyanovskiy et al. ─ M .: Mashinostroenie, 1989. ─224 p.
8. Dykha O.V. Principles of construction of the structural-dynamic scheme at boundary greasing, Theses dopov. international scientific and technical conf. "Wear resistance and reliability of friction units of machines (ZNM-2001)." - Khmelnitsky: TUP, 2001, P. 52.
9. Materials in tribotechnics of non-stationary processes / A.V. Chichinadze, R.M. Matveevsky, E. D. Brown et al. ─ Moscow: Nauka, 1986.
10. Bokshtein B.S. Atoms wander around the crystal. - M .: Nauka, 1984 .-- 207 p.
11. Taganov I.N. Modeling the processes of mass and energy transfer. - L .: Chemistry, 1979 .-- 204 p.
12.Tsesnek L.S. Mechanics and microphysics of surface abrasion. - M .: Mashinostroenie, 1979 .-- 263 p.




How to Cite

Dykha, O., & Staryi, A. (2021). Нeat and mass transfer models at boundary lubrication to determine the transition temperatures. Problems of Tribology, 26(4/102), 42–50. https://doi.org/10.31891/2079-1372-2021-102-4-42-50