• CN：11-2187/TH
• ISSN：0577-6686

• 数字化设计与制造 •

### 关于润滑油流变特性研究中一个常用假设的深入探讨

1. 青岛理工大学机械工程学院 青岛 266033
• 收稿日期:2016-06-07 修回日期:2016-12-11 出版日期:2017-10-05 发布日期:2017-10-05
• 通讯作者: 杨萍(通信作者),女,1979年出生,博士研究生。主要研究方向为润滑理论分析,E-mail:yp_qingdao@163.com
• 作者简介:杨沛然,男,1949年出生,博士,教授,博士研究生导师。主要研究方向为润滑理论分析,E-mail:pryang@public.qd.sd.cn
• 基金资助:
国家自然科学基金（51305220）、高等学校博士学科点专项科研基金（20123721110002）和山东省自然科学基金（ZR2014JL037）资助项目。

### Discussion on a Common Assumption of the Lubricant Rheology

YANG Ping, CUI Jinlei, LIU Xiaoling, YANG Peiran

1. School of Mechanical Engineering, Qingdao Technological University, Qingdao 266033
• Received:2016-06-07 Revised:2016-12-11 Online:2017-10-05 Published:2017-10-05

Abstract: Using a new proposed algorithm for the effective viscosity η* of an Eyring fluid, a common assumption γ=△u/h is discussed in the analysis of lubricant rheology, the relations of the friction coefficient μ of heavily loaded line contact thermal elastohydrodynamic lubrication with the Newtonian viscosity η, the effective viscosity η*, and the shear-strain rate γ of the Eyring fluid are studied theoretically through a strict numerical solution of a thermal elastohydrodynamic lubrication problem. Results show that, when the size of a contact is very small or in other similar cases with low temperatures, the traditional assumption of γ=△u/h can hold approximately, the friction coefficient, therefore, is dominated by the effective viscosity of the lubricant. However, when the size of the contact is very large or in other similar cases with high temperatures, γ=△u/h can no longer hold, the friction coefficient is mainly controlled not only by the effective viscosity but also by the change of the shear-strain rate, so the previous studies are inaccurate.