非牛顿流体的点接触弹流润滑理论与实验研究
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摘要
为研究等温条件下幂函数非牛顿流体的弹流润滑特性,基于Ostwald本构模型,采用普适流体润滑方程来求解非牛顿流体润滑问题,探讨了等温、稳态条件下流变指数、载荷、卷吸速度等参数对点接触弹流润滑特性的影响,并与相同工况下牛顿流体弹流润滑的结果进行了比较.再以某一特定流变指数的流体进行弹流润滑实验测量其膜厚,分析卷吸速度和载荷对膜厚的影响.结果表明:润滑剂的非牛顿性越显著,润滑膜厚会越小,压力分布会越接近Hertz接触应力分布,载荷和卷吸速度对非牛顿流体的润滑膜厚及压力分布的影响比对牛顿流体的影响要小.同工况下,非牛顿流体的膜厚均小于牛顿流体的膜厚.从实验测量结果与数值计算结果对比分析可以得出,卷吸速度和载荷对膜厚的影响趋势基本吻合.
In order to study the elastohydrodynamic lubrication characteristics of power function non-Newtonian fluids under isothermal conditions,based on the Ostwald constitutive model,the non-Newtonian fluid lubrication problem was solved with the universal fluid lubrication equation. The effects of parameters such as rheological index,load,and entrainment velocity on the point contact EHL under isothermal and steady state conditions were discussed. A comparison between the non-Newtonian fluid and the Newtonian fluid was made. Then,the film thickness was measured by elastohydrodynamic lubrication experiment with a certain rheological index,and the effect of the entrainment velocity and the load on the film thickness was analyzed. The results show that when the non-Newtonian properties of the lubricant are more significant,the lubricant film will become less thick,and the pressure distribution will be closer to the Hertz contact stress distribution,and the influence of the load and the entrainment velocity on the lubricant film thickness pressure distribution of non-Newtonian fluids will be smaller than that on the Newtonian fluids. Under the same conditions,the film thickness of non-Newtonian fluid is smaller than that of the Newtonian fluid. From the comparison of the experimental measurement results with the numerical calculation results,it can be concluded that the effect of the entrainment velocity and load on the film thickness is basically consistent.
In order to study the elastohydrodynamic lubrication characteristics of power function non-Newtonian fluids under isothermal conditions,based on the Ostwald constitutive model,the non-Newtonian fluid lubrication problem was solved with the universal fluid lubrication equation. The effects of parameters such as rheological index,load,and entrainment velocity on the point contact EHL under isothermal and steady state conditions were discussed. A comparison between the non-Newtonian fluid and the Newtonian fluid was made. Then,the film thickness was measured by elastohydrodynamic lubrication experiment with a certain rheological index,and the effect of the entrainment velocity and the load on the film thickness was analyzed. The results show that when the non-Newtonian properties of the lubricant are more significant,the lubricant film will become less thick,and the pressure distribution will be closer to the Hertz contact stress distribution,and the influence of the load and the entrainment velocity on the lubricant film thickness pressure distribution of non-Newtonian fluids will be smaller than that on the Newtonian fluids. Under the same conditions,the film thickness of non-Newtonian fluid is smaller than that of the Newtonian fluid. From the comparison of the experimental measurement results with the numerical calculation results,it can be concluded that the effect of the entrainment velocity and load on the film thickness is basically consistent.
引文
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[15] 陈英俊.弹性流体动力脂润滑机理与实验研究 [D].广州:华南理工大学,2014.
[16] 薛虎,汪久根,洪玉芳.线接触脂润滑弹流润滑分析 [J].润滑与密封,2017,42(9):12- 16.XUE Hu,WANG Jiugen,HONG Yufang.Elastohydrodynamic lubrication analysis on line contact with grease [J].Lubrication Engineering,2017,42(9):12- 16.
[2] WANG X,LIU Y,ZHU D.Numerical solution of mixed thermal elastohydrodynamic lubrication in point contacts with three-dimensional surface roughness [J].Journal of Tribology,2017,139(1):011501/1- 12.
[3] 崔金磊,杨萍,杨沛然.基于瞬态弹流润滑问题的热效应及非牛顿效应分析 [J].润滑与密封,2013,38(2):18- 22.CUI Jinlei,YANG Ping,YANG Peiran.Analysis of thermal effect and non-Newtonian effect based on transient elastohydrodynamic lubrication [J].Lubrication Engineering,2013,38(2):18- 22.
[4] LUGT P M,MORALES-ESPEJEL G E .A review of elasto-hydrodynamic lubrication theory [J].Tribology Transactions,2011,54(3):470- 496.
[5] BAIR S,QURESHI F.The generalized Newtonian fluid model and elastohydrodynamic film thickness [J].Journal of Tribology,2003,125(1):70- 75.
[6] ESFE M H,ROSTAMIAN H.Non-Newtonian power-law behavior of TiO2/SAE 50 nano-lubricant:an experimental report and new correlation [J].Journal of Molecular Liquids,2017,232(4):219- 225.
[7] 刘晓玲,杨沛然.指数率非牛顿流体的等温线接触弹流润滑分析 [J].润滑与密封,2002(1):5- 6.LIU Xiaoling,YANG Peiran.Analysis of power law non-Newtonian fluid lubrication in the isothermal EHL line contact [J].Lubrication Engineering,2002(1):5- 6.
[8] 杨玉冰,刘晓玲,信召顺.等温条件下非牛顿流体的弹流特性分析 [J].润滑与密封,2017,42(7):48- 53.YANG Yubing,LIU Xiaoling,XIN Zhaoshun.Analysis of EHL characteristics of non-Newtonian fluid under isothermal condition [J].Lubrication Engineering,2017,42(7):48- 53.
[9] YANG P,WEN S.A generalized Reynolds equation for non-Newtonian thermal elastohydrodynamic lubrication [J].Journal of Tribology,1990,112(4):631- 636.
[10] 黄平,杨倩倩.非牛顿流体润滑 [M].北京:清华大学出版社,2017.
[11] ZEEB Benjamin,GIBIS Monika,FISCHER Lutz,et al.Influence of interfacial properties on Ostwald ripening in crosslinked multilayered oil-in-water emulsions [J].Journal of Colloid and Interface Science,2012,387:65- 73.
[12] YANG Q,HUANG P,FANG Y.A novel Reynolds equation of non-Newtonian fluid for lubrication simulation [J].Tribology International,2016,94(2):458- 463.
[13] 聂淑芳,刘辉,刘艳丽,等.几种亲水凝胶骨架材料相关性质的比较 [J].药学学报,2011,46(3):338- 343.NIE Shu-Fang,LIU Hui,LIU Yan-Li,et al.Comparison of the characteristics of several polymer materials used in hydrophilic matrix tablets [J].Acta Pharmaceutica Sinica,2011,46(3):338- 343.
[14] 杨倩倩.分离流量法的非牛顿流体润滑理论、计算与实验研究 [D].广州:华南理工大学,2016.
[15] 陈英俊.弹性流体动力脂润滑机理与实验研究 [D].广州:华南理工大学,2014.
[16] 薛虎,汪久根,洪玉芳.线接触脂润滑弹流润滑分析 [J].润滑与密封,2017,42(9):12- 16.XUE Hu,WANG Jiugen,HONG Yufang.Elastohydrodynamic lubrication analysis on line contact with grease [J].Lubrication Engineering,2017,42(9):12- 16.