THE FLUX-CONDITIONED DESIGN MODEL OF THE RADIAL BEARING IN TURBULENT MODE WITH ACCOUNT OF THE NON-NEWTON LUBRICANT VISCOSITY DEPENDENCE ON PRESSURE AND TEMPERATURE

Дата поступления: 
18.01.2018
Библиографическое описание статьи: 

Lagunova E.O. The flux-conditioned design model of the radial bearing in turbulent mode with account of the non-Newton lubricant viscosity dependence on pressure and temperature. Modern Technologies. System Analysis. Modeling, 2018, Vol. 57, No. 1, pp. 31–40. ‑DOI: 10.26731/1813-9108.2018.1(57).31-40

Год: 
2018
Номер журнала (Том): 
УДК: 
51 : 621.891
DOI: 

10.26731/1813-9108.2018.1(57).31-40

Файл статьи: 
Страницы: 
31
40
Аннотация: 

The article discusses the development of the design model of an infinite radial bearing, lubricated with a medium with micropolar rheological properties, and a flux of low-melting coating, while taking into account the pressure and temperature dependence of the micropolar lubricant viscosity characteristics. The author evaluates the influence of the parameters that are mentioned below, on the basic performance of the radial bearing of plain friction: the parameter K conditioned by the flux of the low-melting metallic coating of the bearing sleeve surface; the parameter N1 characterizing the size of the lubricant molecule; the coupling parameter N2; the parameter conditioned by the dependence of the lubricant viscosity on the pressure, and the parameter  determined by the dependence of the lubricant viscosity on temperature. The article presents new mathematical models that describe the motion of an incompressible micropolar lubricant in the "thin layer" approximation, the equation of continuity and expression of the energy dissipation rate to determine the profile of a molten surface of the melting coating of the bearing sleeve. It also considers influence of a number of additional factors. A comparative analysis of new and already available results has been made, which has confirmed the appropriateness of the new model to real practice. New multi-parametric expressions for the main operational behavior of the friction pair are developed, taking into account the dependence of the micropolar lubricant viscosity on pressure and temperature (if there if a lubricant material and a flux of the low-melting coating of the bearing sleeve). The author evaluates influence of parameters with allowance for the whole range of variable factors conditioned by the flux of the low-melting coating surface of the bearing sleeve on the specific melting heat. The proposed article generalizes the influence of factors that have not yet been investigated. This complicates the problem but makes its solution universal and popular in modern friction units. The obtained results can be used in mechanical engineering, aircraft engineering, instrument making, etc. where the supply of lubricant is associated with difficulties.

Финансирование: 

Публикация осуществлена в рамках реализации гранта ОАО «РЖД» 2210370/22.12.2016 на развитие научно-педагогических школ в области железнодорожного транспорта.

Список цитируемой литературы: 

1.   Kropachev, D.Yu. Sposoby operativnogo izmereniya temperatury rasplava metallov dlya nuzhd mashinostroitel'nykh predpriyatii [Methods of operative measurement of the temperature of metal melt for the needs of machine-building enterprises]. Lit'e i metallurgiya [Foundry production and metallurgy], 2012, No. 3 (66), pp. 126–127.                

2.   Uilson R. Smazka s rasplavom [Lubricant with melt]. Problemy treniya i smazki [Journal of Lubrication Technology], 1976, No. 1, p. 19.

3.   Beretta N. Podshipniki skol'zheniya, smazyvaemye sobstvennym rasplavom ili produktom sublimatsii [Slip bearings lubricated by their own melt or a product of sublimation]. Trudy Amer. obva inzh.-mekh. [Proceedings of ASME], 1992. No. 1, pp. 86–90.

4.   Fizicheskie velichiny. Spravochnik [Physical quantities. Reference book]. Moscow : Energoatomizdat Publ., 1991.

5.   Khavin, V.Ya. Kratkii khimicheskii spravochnik [Brief Chemical Handbook]. Leningrad : Khimiya Publ., 1991.

6.   Perel'man, V.I. Kratkii spravochnik khimika [Quick reference book of the chemist]. Moscow-Leningrad : Khimiya Publ., 1964.

7.   Spravochnik po paike [Handbook of soldering]. Moscow : Mashinostroenie Publ., 1984.

8.   Kotel'nitskaya, L.I., Demidova N.N. Raschet radial'nykh s effektivnoi rabotoi na smazke s rasplavom v turbulentnom rezhime [Calculation of radial with effective work on lubrication with a melt in turbulent mode]. Vestn. Rostov. gos. un-ta putei soobshch. [Vestnik RGUPS], 2002, No. 2, pp. 18–23.

9.   Prikhod'ko V.M., Kotel'nitskaya L.I. Matematicheskaya model' gidrodinamicheskoi smazki pri plavlenii opornoi poverkhnosti radial'nogo podshipnika [A mathematical model of hydrodynamic lubrication during melting of the support surface of a radial bearing]. Trenie i iznos [Friction and wear], 2001, Vol. 22, No. 6, pp. 606–608.

10. Zadorozhnaya E.A., Mukhortov I.V., Levanov I.G. Primenenie nen'yutonovskikh modelei smazochnykh zhidkostei pri raschete slozhnonagruzhennykh uzlov treniya porshnevykh i rotornykh mashin [Application of non-Newtonian models of lubricating fluids in the calculation of complex loaded friction units of piston and rotor machines]. Trenie i smazka v mashinakh i mekhanizmakh [Friction and lubrication in machines and mechanisms], 2011, No. 7, pp. 22–30.

11. Prokop'ev V.N. Boyarshinova A.K., Zadorozhnaya E.A. Dinamika slozhnonagruzhennogo podshipnika, smazyvaemogo nen'-yutonovskoi zhidkost'yu [Dynamics of a complex loaded bearing lubricated by a non-Newton liquid]. Problemy mashinostroeniya i nadezhnosti mashin [Journal of Machinery Manufacture and Reliability], 2005, No. 6, pp. 108–114.

12. Prokop'ev V.N. et al. Sovershenstvovanie metodiki rascheta slozhnonagruzhennykh podshipnikov skol'zheniya, smazyvaemykh nen'yutonovskimi maslami [Improvement of the calculation technique for complex loaded sliding bearings lubricated with non-Newtonian oils]. Problemy mashinostroeniya i nadezhnosti mashin [Journal of Machinery Manufacture and Reliability], 2010, No. 1, pp. 63–67.

13. Akhverdiev K.S., Mukutadze M.A., Lagunova E.O., Solop K.S. Working Out of an Analytical Model of a Radial Bearing Taking into Account Dependence of Viscous Characteristics of Micropolar Lubrication on Pressure and Temperature. International Journal of Applied Engineering Research, ISSN 0973-4562, 2017, Vol. 12, No. 15, pp. 4840–4846.

14. Lagunova E.O. Simulation Model of Radial Bearing, Taking into Account the Dependence of Viscosity Characteristics of Micro-Polar Lubricant Material on Temperature. International Journal of Applied Engineering Research, ISSN 0973-4562, 2017, Vol. 12, N 12, pp. 3346–3352.

15. Lagunova E.O. Computation model of radial bearing taking into account the dependence of the viscosity of lubricant on pressure and temperature. Global Journal of Pure and Applied Mathematics, ISSN 0973-1768, 2017, Vol. 13, N 7, pp. 3531–3542.

16. Akhverdiev K.S. et al. Gidrodinamicheskii raschet radial'nogo podshipnika, smazyvaemogo rasplavom legkoplavkogo pokrytiya pri nalichii smazochnogo materiala [Hydrodynamic calculation of a radial bearing lubricated by a melt of a low-melting coating in the presence of a lubricant]. Vestnik RGUPS, 2017, No. 2 (66), pp. 129–135.

17. Vasilenko V.V. Lagunova E.O., Mukutadze M.A. Gidrodinamicheskii raschet radial'nogo podshipnika, smazyvaemogo rasplavom legkoplavkogo pokrytiya pri nalichii smazochnogo materiala [Hydrodynamic calculation of a radial bearing lubricated by a melt of a low-melting coating in the presence of a lubricant]. Naukovedenie : internet-zhurnal [Science studies. Online magazine], 2017, Vol. 9, No. 5. https://naukovedenie.ru/PDF/20TVN517.pdf. (Access date: 22.09.2017).

18. Akhverdiev K.S. et al. Klinovidnye opory skol'zheniya, rabotayushchie na mikropolyarnom smazochnom materiale, obuslovlennye rasplavom [Wedge-shaped sliding supports operating on a micropolar lubricant due to a melt]. Vestnik RGUPS, 2017, No. 3 (67), pp. 8–15.

19. Lagunova E.O., Mukutadze M.A., Solop K.S. Working Out of an Analytical Model of an Axial Bearing Taking into Account Dependence of Viscous Characteristics of Micropolar Lubrication on Pressure and Temperature. International Journal of Applied Engineering Research, ISSN 0973-4562, 2017, Vol. 12, N 14, pp. 4644–4650.

20. Akhverdiev K.S., Lagunova E.O., Vasilenko V.V. Raschetnaya model' radial'nogo podshipnika, smazyvaemogo rasplavom, s uchetom zavisimosti vyazkosti ot davleniya [Calculation model of a radial bearing lubricated by a melt, taking into account the dependence of viscosity on pressure]. Vestnik DGTU [Vestnik of DSTU], 2017, No. 3 (90), pp. 27–37.

21. Lagunova E.O. Wedge-Shaped Sliding Supports Operating on Viscoelastic Lubricant Material Due to the Melt, Taking Into Account the Dependence of Viscosity and Shear Modulus on Pressure. International Journal of Applied Engineering Research, ISSN 0973-4562, 2017,Vol. 12, N 19, pp. 9120–9127.

22. Lagunova E.O. Radial Plain Bearings Operating on Viscoelastic Lubricant Caused by the Melt, Taking into Account the De-pendence of the Viscosity of the Lubricant and the Shear Modulus on the Pressure. International Journal of Applied Engineering Research, ISSN 0973-4562, 2017, Vol. 12, N 19, pp. 9128–9137.

23. Vasilenko V.V., Lagunova E.O., Mukutadze M.A., Prikhodko V.M. Calculation Model of the Radial Bearing, Caused by the Melt, Taking into Account the Dependence of Viscosity on Pressure. International Journal of Applied Engineering Research, ISSN 0973-4562, 2017, Vol. 12, N 19, pp. 9138–9148.

24. Lagunova E.O. Klinovidnye opory skol'zheniya, rabotayushchie na elektroprovodyashchem smazochnom materiale, obuslov-lennye rasplavom [Wedge-shaped sliding supports operating on an electrically conductive lubricant, caused by a melt]. Sovremennye fundamental'nye i prikladnye issledovaniya [Modern fundamental and applied researches], 2017, No. 4 (27), Part 1, pp. 20–31.