Roughness induced variation as a new mechanism for hydrodynamic lubrication between parallel surfaces

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. Phil Trans R Soc 177: 157–234 (1886)

Ishii T, Miyagawa S, Taguma I. Research and development on the hydrodynamic pressure generation between contacting flat surfaces. ASLE Trans 29(3): 339–346 (1986)

So H, Chen C H. Effects of micro-wedges formed between parallel surfaces on mixed lubrication—Part I: Experimental evidence. Tribol Lett 17(3): 513–520 (2004)

Ayadi K, Brunetière N, Tournerie B, Maoui A. Experimental and numerical study of the lubrication regimes of a liquid mechanical seal. Tribol Int 92: 96–108 (2015)

Bulut D, Bader N, Poll G. Cavitation and film formation in hydrodynamically lubricated parallel sliders. Tribol Int 162: 107113 (2021)

Minet C, Brunetière N, Tournerie B. On the lubrication of mechanical seals with rough surfaces: A parametric study. P I Mech Eng J-J Eng 226(12): 1109–1126 (2012)

Brunetiere N. The lubrication regimes of mechanical face seals. Appl Mech Mater 630: 255–266 (2014)

Christensen H. Stochastic models for hydrodynamic lubrication of rough surfaces. Proc Inst Mech Eng 184(1): 1013–1026 (1969)

Patir N, Cheng H S. An average flow model for determining effects of three-dimensional roughness on partial hydrodynamic lubrication. J Lubr Technol 100(1): 12–17 (1978)

Patir N, Cheng H S. Application of average flow model to lubrication between rough sliding surfaces. J Lubr Technol 101(2): 220–229 (1979)

Han Y X, Lu Z Y. A two-scale methodology on modelling surface topography by homogenization technique. Appl Math Model 120: 115–131 (2023)

Lukkassen D, Nguetseng G, Wall P. Two-scale convergence. Int J Pure Appl Math 1(1): 35–86 (2002)

Bayada G, Ciuperca I, Jai M. Homogenized elliptic equations and variational inequalities with oscillating parameters. Application to the study of thin flow behavior with rough surfaces. Nonlinear Anal-Real 7(5): 950–966 (2006)

Almqvist A. Homogenization of the Reynolds equation governing hydrodynamic flow in a rotating device. J Tribol 133(2): 021705 (2011)

Skaltsas D, Rossopoulos G N, Papadopoulos C I. A comparative study of the Reynolds equation solution for slider and journal bearings with stochastic roughness on the stator and the rotor. Tribol Int 167: 107410 (2022)

Lebeck A O. Parallel sliding load support in the mixed friction regime. Part 2: Evaluation of the mechanisms. J Tribol 109(1): 196–205 (1987)

So H, Chen C H. Effects of micro-wedges formed between parallel surfaces on mixed lubrication—Part II: Modeling. Tribol Lett 19(2): 83–91 (2005)

Wang W, He Y Y, Zhao J, Mao J Y, Hu Y T, Luo J B. Optimization of groove texture profile to improve hydrodynamic lubrication performance: Theory and experiments. Friction 8(1): 83–94 (2020)

Etsion I. Modeling of surface texturing in hydrodynamic lubrication. Friction 1(3): 195–209 (2013)

Qiu Y, Khonsari M M. Performance analysis of full-film textured surfaces with consideration of roughness effects. J Tribol 133(2): 021704 (2011)

Ma C B, Duan Y J, Yu B, Sun J J, Tu Q A. The comprehensive effect of surface texture and roughness under hydrodynamic and mixed lubrication conditions. P I Mech Eng J-J-Eng 231(10): 1307–1319 (2017)

Gu C X, Meng X H, Xie Y B, Zhang D. Mixed lubrication problems in the presence of textures: An efficient solution to the cavitation problem with consideration of roughness effects. Tribol Int 103: 516–528 (2016)

Bayada G, Martin S, Vázquez C. Two-scale homogenization of a hydrodynamic Elrod–Adams model. Asymptotic Anal 44(1–2): 75–110 (2005)

Han Y X, Meng Q G, de Boer G. Two-scale homogenization of hydrodynamic lubrication in a mechanical seal with isotropic roughness based on the Elrod cavitation algorithm. P I Mech Eng J-J-Eng 236(3): 359–385 (2022)

Brunetière N, Francisco A. Lubrication mechanisms between parallel rough surfaces. Tribol Lett 67(4): 116 (2019)

Wang Y C, Azam A, Zhang G L, Dorgham A, Liu Y, Wilson M, Neville A. Understanding the mechanism of load-carrying capacity between parallel rough surfaces through a deterministic mixed lubrication model. Lubricants 10(1): 12 (2022)

Pérez-Ràfols F, Larsson R, Lundström S, Wall P, Almqvist A. A stochastic two-scale model for pressure-driven flow between rough surfaces. Proc R Soc A Math Phys Eng Sci 472: 2190 (2016).

Waseem A, Guilleminot J, Temizer. Stochastic multiscale analysis in hydrodynamic lubrication. Int J Numer Meth Eng 112(8): 1070–1093 (2017)

Pérez-Ràfols F. A two-scale stochastic model for the contact mechanics of rough surfaces including a wide span of length scales. Tribol Int 185: 108502 (2023)

Nyemeck A P, Brunetière N, Tournerie B. A multiscale approach to the mixed lubrication regime: Application to mechanical seals. Tribol Lett 47(3): 417–429 (2012)

Greenwood J A, Williamson J B P. Contact of nominally flat surfaces. P Roy Soc A-Math Phy 295(1442): 300–319 (1966)

Persson B N J. On the fractal dimension of rough surfaces. Tribol Lett 54(1): 99–106 (2014)

Hu Y Z, Tonder K. Simulation of 3-D random rough surface by 2-D digital filter and Fourier analysis. Int J Mach Tool Manu 32(1–2): 83–90 (1992)

Elrod H G. A cavitation algorithm. J Lubr Technol 103(3): 350–354 (1981)

Almqvist A, Fabricius J, Larsson R, Wall P. A new approach for studying cavitation in lubrication. J Tribol 136(1): 011706 (2014)

Minet C, Brunetiere N, Tournerie B, Fribourg D. Analysis and modeling of the topography of mechanical seal faces. Tribol T 53(6): 799–815 (2010)

Campañá C, Müser M H. Contact mechanics of real vs. randomly rough surfaces: A Green’s function molecular dynamics study. Europhys Lett 77(3): 38005 (2007)