Theoretical Analysis of the Influence of Asperity’s Dimensions Affected by a Scale Factor on the Mixed Lubrication between Parallel Surfaces

IF 1.5 Q3 ENGINEERING, MECHANICAL
F. Robbe-Valloire, R. Progri, T. D. S. Botelho
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引用次数: 3

Abstract

Mixed lubrication between a given pair of surfaces is directly related to the parameter ηu/p. Any change in microgeometry produces a shift in the transition between the boundary and lubricated regimes. Using an asperity based model including five families of asperities (2 for full fluid lubrication and 3 for local boundary lubrication), we simulate mixed lubricated behavior. Our theoretical results confirm the relation between the mixed regime and the ηu/p parameter. All homothetic changes in microgeometry affecting the vertical and horizontal directions by the same scaling factor Sc induce a shift in the transition. The most interesting result is that this shift is exactly the same if speed u is scaled by 1/Sc with the initial microgeometry. This particular behavior, which is in good agreement with experimental results proposed in the literature, comes from the fact that behavior at each asperity can be written using dimensionless parameters. Most of these parameters are independent to any scaling of the microgeometry and only one, the speed parameter, needs to be artificially scaled in order to remain unchanged by the modification of the microgeometry.
尺度因子对平行表面混合润滑粗糙度尺寸影响的理论分析
给定一对表面之间的混合润滑与参数ηu/p直接相关。微观几何的任何变化都会在边界和润滑状态之间产生转变。采用基于粗糙度的模型,包括5类粗糙度(2类为全流体润滑,3类为局部边界润滑),模拟混合润滑行为。我们的理论结果证实了混合状态与ηu/p参数之间的关系。所有影响垂直和水平方向的微观几何形态的同质变化都以相同的比例因子Sc引起相变。最有趣的结果是,如果速度u与初始微观几何尺寸按1/Sc缩放,则这种位移完全相同。这种特殊的行为,与文献中提出的实验结果很好地一致,来自于这样一个事实,即每个粗糙点的行为可以用无因次参数来写。这些参数大多与微几何形状的缩放无关,只有速度参数需要人为缩放,以便在微几何形状的修改下保持不变。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Advances in Tribology
Advances in Tribology ENGINEERING, MECHANICAL-
CiteScore
5.00
自引率
0.00%
发文量
1
审稿时长
13 weeks
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