Design model of radial melt-lubricated bearing with account of pressure-viscosity ratio

Introduction. The development of the design model of the infinite radial bearing greased by the fusible coating melt with account of the lubricant pressure-viscosity ratio is considered. The parameters caused by the fusible coating melt of the bearing bush against the specific heat of fusion, and the lubricant pressure-viscosity ratio, are studied. The effect of these factors on the key operating data of the tribosystem is estimated. The work objective is the generation of the refined design models of infinite radial bearings operating in the hydrodynamic lubrication mode with a lubricant and a fusible coating melt of the bearing bush taking into account the lubricant pressure-viscosity ratio for the application in the engineering practice. Materials and Methods. New mathematical models describing the incompressible lubricant movement to the approximation for a thin layer, the equation of continuity, and the energy dissipation rate ratio, for determining the profile of the melted surface of the fusible coating of the bearing bush with account of the effect of several supplementary factors, are proposed. A comparative analysis of the newly obtained and already available results is performed. That has confirmed the approximation of the new model to the actual practice. Research Results. New multiparameter expressions for the key operating characteristics of the friction pair under study taking into account the lubricant pressure-viscosity ratio in the presence of a lubricant and a fusible coating melt of the bearing bushing are developed. The effect of the parameters considering a whole array of variables caused by the fusible coating melt of the bearing bushing on the specific heat of fusion is estimated. Discussion and Conclusions. The influence of the factors not yet studied which essentially complicates the task but makes its solution universal and required in the present-day tribological components, is summarized. The numerical analysis results of the obtained theoretical studies show that slider bearings operating on the fusible coating melt have an abnormally low friction factor (the friction coefficient depends on the parameter due to the melt which is close to linear). The obtained results can be used under the conditions when the lubricant supply involves some problems, in particular, in such branches as engineering, aircraft building, instrument making, etc.

гидродинамика, радиальный подшипник, вязкий несжимаемый жидкий смазочный материал, расплавленная поверхность подшипниковой втулки, зависимость вязкости смазочного материала от давления, hydrodynamics, radial bearing, viscous incompressible liquid lubricant, melted surface of bearing bush, lubricant pressure-viscosity ratio

1. Kropachev, D.Y., Grishin, A.A., Maslo, A.D. Sposoby operativnogo izmereniya temperatury rasplava metallov dlya nuzhd mashinostroitel'nykh predpriyatiy. [Ways of operative measurement of metals melt temperature for needs of machine- building enterprises.] Foundry and Metallurgy, 2012, no. 3 (66), pp. 126–127 (in Russian).

2. Wilson, R. Smazka s rasplavom. [Lubricant with melt.] Problemy treniya i smazki, 1976, no. 1, pp. 19 (in Russian).

3. Beretta, A., Niro, D., Sylvestry, F. Podshipniki skol'zheniya, smazyvaemye sobstvennym rasplavom ili produktom sublimatsii. [Plain bearings lubricated by their own melt or sublimation product.] ASME Proceedings, 1992, no. 1, pp. 86–90 (in Russian).

4. Grigoryeva, I.S., Meylikhova, E.Z., eds. Fizicheskie velichiny. Spravochnik. [Physical values. Reference book.] Moscow: Energoatomizdat, 1991, 1232 p. (in Russian).

5. Rabinovich, V.A., Khavin, V.Y. Kratkiy khimicheskiy spravochnik. [Quick reference book in chemistry.] Leningrad: Khimiya, 1991, 432 p. (in Russian).

6. Perelman, V.I. Kratkiy spravochnik khimika. [Chemist’s quick reference book] Moscow; Leningrad: Khimiya, 1964, 620 p. (in Russian).

7. Petrunin, I.E., ed. Spravochnik po payke. [Reference book in soldering.] 2nd revised and enlarged ed. Moscow: Mashinostroenie, 1984, 576 p. (in Russian).

8. Kotelnitskaya, L.I., Demidova, N.N. Raschet radial'nykh s effektivnoy rabotoy na smazke s rasplavom v turbulentnom rezhime. [Analysis of radials with effective work on lubrication with melt in turbulent mode.] Vestnik RGUPS, 2002, no. 2, pp. 18–23 (in Russian).

9. Prikhodko, V.M., Kotelnitskaya, L.I. Matematicheskaya model' gidrodinamicheskoy smazki pri plavlenii opornoy poverkhnosti radial'nogo podshipnika. [A mathematical model of hydrodynamic lubrication when the radial bearing surface melts.] Friction and wear, 2001, vol. 22, no. 6, pp. 606–608 (in Russian).

10. Akhverdiev, K.S., Kotelnitskaya, L.I. Ob odnom reshenii zadachi o gidrodinamicheskoy smazke zhidkost'yu, obrazuyushcheysya pri plavlenii napravlyayushchey, pri nalichii prinuditel'noy smazki. [On a problem solution of hydrodynamic fluid lubrication formed under guide melting in the presence of forced lubrication.] Vestnik of DSTU, 2002, vol. 2, no. 2 (12), pp. 99–103 (in Russian).

11. Akhverdiev, K.S., Zhurba, I.A. Ustanovivsheesya dvizhenie vyazkouprugoy zhidkosti mezhdu naklonnym polzunom i napravlyayushchey s uchetom sil inertsii smazochnoy kompozitsii. [Steady state motion of a viscoelastic liquid between a tilt slider and a guide consistent with the lubricant inertia forces.] Friction and wear, 2004, vol. 25, no. 6, pp. 567– 576 (in Russian).

12. Mukutadze, M.A. Razrabotka sistemy raschetnykh modeley podshipnikov skol'zheniya na osnove razvitiya gidrodinamicheskoy i reodinamicheskoy teorii smazki : dis. … d- ra tekhn. nauk. [System engineering of sliding bearings design models based on development of hydrodynamic and rheodynamic theory of lubrication: Dr.Sci. (Eng.) diss.] Rostov-on- Don, 2015, pp. 363–383 (in Russian).

13. Akhverdiev, K.S., Mukutadze, M.A., Mukutadze, A.M. Radial bearing with porous barrel. Proceedings of Academic World: International Conference. San Francisco: Institute of Research and Journals, 2016, pp. 28—31.

14. Akhverdiev, K.S. Analytical method for prognosis of values of micropolar lubrication criteria providing stable operation of radial sliding bearing. Journal of Friction and Wear, 2008, vol. 29, no. 2, pp. 184–191