Abstract
A mass-conservative average flow model based on the finite element method (FEM) is introduced to predict the performances of textured surfaces applied in mechanical seals or thrust bearings. In this model, the Jakobsson-Floberg-Olsson (JFO) boundary conditions are applied to the average flow model for ensuring the mass-conservative law. Moreover, the non-uniform triangular grid is utilized, which can deal with the problem of complex geometric shapes. By adopting the modeling techniques, the model proposed here is capable of dealing with complex textured surfaces. The algorithm is proved correct by the numerical experiment. In addition, the model is employed to gain further insight into the influences of the dimples with different shapes and orientations on smooth and rough surfaces on the load-carrying capacity.
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References
Etsion I, Burstein L. A model for mechanical seals with regular micro surface structure. STLE Tribol Trans, 1996, 39: 677–683
Etsion I, Halperin G, Greenberg Y. Increasing mechanical seals life with laser-textured seal faces. In: 15th International Conference on Fluid Sealing BHR Group, Maastricht, the Netherlands, 1997. 3–11
Etsion I, Kligerman Y. Analytical and experimental investigation of laser-textured mechanical seal faces. STLE Tribol Trans, 1999, 42: 511–516
Etsion I. State of the art in laser surface texturing. ASME J Tribol, 2005, 127: 248–253
Yu X Q, He S, Cai R L. Frictional characteristics of mechanical seals with a laser-textured seal face. J Mater Process Technol, 2002, 129: 463–466
Bai S X, Peng X D, Li J Y, et al. Experimental study on hydrodynamic effect of orientation micro-pored surfaces. Sci China-Technol Sci, 2011, 54: 659–662
Wang X, Kato K, Adachi K, et al. Loads carrying capacity map for the surface texture design of SiC thrust bearing sliding in water. Tribol Int, 2003, 36: 189–197
Brizmer V, Kligerman Y, Etsion I. A laser surface textured parallel thrust bearing. STLE Tribol Trans, 2003, 46: 397–403
Etsion I, Halperin G, Brizmer V, et al. Experimental investigation of laser surface textured parallel thrust bearings. STLE Tribol Lett, 2004, 17: 295–300
Marian V G, Kilian M, Scholz W. Theoretical and experimental analysis of a partially textured thrust bearing with square dimples. Proc Inst Mech Eng, Part J-J Eng Tribol, 2007, 221: 771–778
Jakobsson B, Floberg L. The finite journal bearing considering vaporization. Chalmers Tek Hoegsk Handl, 1957, 190: 1–116
Olsson K O. Cavitation in dynamically loaded bearing. Trans Chalmers Univ Technol, 1965, 308: 1–60
Elrod H G. A cavitation algorithm. ASME J Lubr Technol, 1981, 103: 350–354
Vijayaraghavan D, Keith T G Jr. An efficient, robust, and time accurate numerical scheme applied to a cavitation algorithm. ASME J Tribol, 1990, 112: 44–51
Vijayaraghavan D, Keith T G Jr. Grid transformation and adaption techniques applied in the analysis of cavitated journal bearings. ASME J Tribol, 1990, 112: 52–59
Vijayaraghavan D, Keith T G Jr. Development and evaluation of a cavitation algorithm. STLE Tribol Trans, 1989, 32: 225–233
Fesanghary M, Khonsari M M. A modification of the switch function in the Elrod cavitation algorithm. ASME J Tribol, 2011, 133: 1–4
Payvar P, Salant R F. A computational method for cavitation in a wavy mechanical seal. ASME J Tribol, 1992, 114: 119–204
Kumar A, Booker J F. A finite element cavitation algorithm. ASME J Tribol, 1991, 113: 276–286
Qiu Y, Khonsari M M. On the prediction of cavitation in dimples using a mass-conservative algorithm. ASME J Tribol, 2009, 131: 1–11
Harp S R, Salant R F. An average flow model of rough surface lubrication with inter-asperity cavitation. ASME J Tribol, 2001, 123: 134–143
Patir N, Cheng H S. An average flow model for determining effects of three-dimensional roughness on partial hydrodynamic lubrication. ASME J Lubr Technol, 1978, 100: 12–17
Patir N, Cheng H S. Application of the average flow model to lubrication between rough sliding surfaces. ASME J Lubr Technol, 1979, 101: 220–229
Qiu Y, Khonsari M M. Performance analysis of full-film textured surfaces with consideration of roughness effects. ASME J Tribol, 2011, 133: 1–10
Siripuram R, Stephens L S. Effect of deterministic asperity geometry on hydrodynamic Lubrication. ASME J Tribol, 2004, 126: 527–534
Yu H W, Wang X L, Zhou F. Geometric shape effects of surface texture on the generation of hydrodynamic pressure between conformal contacting surfaces. STLE Tribol Lett, 2010, 37: 123–130
Yu H, Deng H, Huang W, et al. The effect of dimple shapes on friction of parallel surfaces. Proc Inst Mech Eng, Part J-J Eng Tribol, 2011, 225: 693–703
Etsion I, Kligerman Y. Analytical and experimental investigation of laser-textured mechanical seal faces. STLE Tribol Trans, 1999, 42: 511–516
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Xie, Y., Li, Y., Suo, S. et al. A mass-conservative average flow model based on finite element method for complex textured surfaces. Sci. China Phys. Mech. Astron. 56, 1909–1919 (2013). https://doi.org/10.1007/s11433-013-5217-z
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DOI: https://doi.org/10.1007/s11433-013-5217-z