THE FLOW OF LUBRICANT IN A NARROW WEDGE-SHAPED SLOT WITH A MOVABLE WALL IS CONSIDERED


  • A.A. Avramenko Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine https://orcid.org/0000-0002-2416-3512
  • A.I. Tyrinov Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine https://orcid.org/0000-0003-2454-9113
  • M.M. Kovetskaya Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine https://orcid.org/0000-0002-8455-4689
  • E.A. Kondratieva Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine
Keywords: lubricant, narrow channel, slip conditions, lifting force

Abstract

The article presents the results of a study of the lubricant flow in a narrow wedge-shaped slot with a movable wall. A solution to the problem with slip boundary conditions on the channel walls is obtained. The effect of slippage on the change in hydrostatic lift and hydraulic resistance in the slotted channel is shown.

 It was determined in the work that with an increase in the slip intensity (an increase in the value of the Knudsen number), the pressure variation weakens.  This is due to the weakening of the interaction of the flow with the wall. As a result, the hydraulic resistance is reduced.

The dependence of the relative hydrostatic lifting force on the Knudsen number and the opening angle of the channel is obtained. It is determined that with an increase in the Knudsen number, the magnitude of the hydrostatic lifting force decreases, since the influence of the flow on the wall weakens. The influence of slippage weakens with an increase in the opening angle of the channel.

References

1. Escudier M.P., Gouldson I.W., Oliveira P.J., Pinho F.T. Effects of inner cylinder rotation on laminar flow of a Newtonian fluid through an eccentric annulus. Int. J. Heat Fluid Flow. 2000, 21, 92‒103
2. Siluyanova M.V., Fertikov A.O. Calculation of the lubricant flow in the plain bearing of an aircraft engine gearbox. Samara University Bulletin. Aerodynamic engineering, geotechnology and mechanical engineering. 2019, 18 (2) 75‒88 DOI: 10.18287/2541-7533-2019-18-2-75-88 (in Russian)
3. Giors S., Colombo E., Inzoli F, Zanino R. Computational fluid dynamic model of a tapered Holweck vacuum pump operating in the viscous and transition regimes. J. Vac. Sci. Technol. A. 2006, 24 (4) 1584‒1591.
4. Neto C., Evans D.R., Bonaccurso E., Butt H-J., Craig V.S.J. Boundary slip in Newtonian Liquids: a review of experimental studies. Rep. Prog. Phys. 2005, 68, 2859‒2897 DOI: 10.1088/0034-4885/68/12/R05
5. Avramenko A.A., Tyrinov A.I., Shevchuk I.V. Start-up slip flow in a microchannel with a rectangular cross section.Theoretical and Computational Fluid Dynamics (2015) 29, 351‒371
https://link.springer.com/article/10.1007/s00162-015-0361-x
6. Avramenko A.A., Tyrinov A.I., Shevchuk I.V. An analytical and numerical study on the start-up flow of slightly rarefied gases in a parallel-plate channel and a pipe.Physics of Fluids (2015) 27 (4), 042001. https://doi.org/10.1063/1.4916621
7. Avramenko A.A., Shevchuk I.V., Abdallah S., Blinov D.G., Harmand S., Tyrinov A.I. Symmetry analysis for film boiling of nanofluids on a vertical plate using a nonlinear approach. Journal of Molecular Liquids (2016) 223, 156‒164. https://doi.org/10.1016/j.molliq.2016.08.038
8. Avramenko A.A., Kuznetsov A.V. The onset of bio‐thermal convection in a suspension of gyrotactic microorganisms in a fluid layer with an inclined temperature gradient
International Journal of Numerical Methods for Heat and Fluid Flow. (2010). 20(1), 111‒129
DOI: 10.1108/09615531011008154
9. Avramenko A.A., Kuznetsov A.V. Flow in a curved porous channel with a rectangular cross section. Journal of Porous Media. (2007). 11 (3), 241‒246
DOI:10.1615/JPorMedia.v11.i3.20
10. Avramenko A.A., Kovetska Y.Y., Shevchuk I.V., Tyrinov A.I., Shevchuk V.I. Mixed convection in vertical flat and circular porous microchannels.Transport in Porous Media. (2018) 124(2), 919‒941
DOI:10.1007/s11242-018-1104-4
11. Tyrinov A.I., Avramenko A.A., Basok B.I., Davydenko B.V. Modeling of flows in a microchannel based on the Boltzmann lattice equation. Journal of Engineering Physics and Thermophysics (2012) 85 (1), 65‒72. https://doi.org/10.1007/s10891-012-0621-1
12. Avramenko A.A., Kuznetsov A.V., Nield D.A. Instability of slip flow in a channel occupied by a hyperporous medium. Journal of Porous Media. (2007). 10 (5), 435‒442
DOI: 10.1615/JPorMedia.v10.i5.20
13. Sharma H., Gaddam A., Agrawal A., Joshi S. Slip flow through microchannels with lubricant-infused bidimensional textured surfaces. Microfluidics and Nanofluidics (2019) p. 23‒28 . https://doi.org/10.1007/s10404-019-2197-y
14. Xie Z., Zhang Y., Zhou J., Zhu W. Theoretical and experimental research on the micro interface lubrication regime of water lubricated bearing. Mechanical Systems and Signal Processing Volume 151, April 2021, 107422 https://doi.org/10.1016/j.ymssp.2020.107422
15. Foroughi H. Kawaji M. Viscous oil-water flows in a microchannel initially saturated with oil: flow patterns and pressure drop characteristics. Int. J. Multiphase Flow. 2011, 37, 1147‒1155
16. Reynolds O. On the Theory of Lubrication and Its Application to Mr. Beauchamp Tower's Experiments, Including an Experimental Determination of the Viscosity of Olive Oil. Philosophical Transactions of the Royal Society of London. 1886, 177, 157‒234 Published By: Royal Society

Abstract views: 467
PDF Downloads: 296
Published
2023-06-11
How to Cite
Avramenko, A., Tyrinov, A., Kovetskaya, M., & Kondratieva, E. (2023). THE FLOW OF LUBRICANT IN A NARROW WEDGE-SHAPED SLOT WITH A MOVABLE WALL IS CONSIDERED. Thermophysics and Thermal Power Engineering, 45(2), 15-23. https://doi.org/https://doi.org/10.31472/ttpe.2.2023.2

Most read articles by the same author(s)

1 2 > >>