Research on Lubrication of Journal Bearing Considering the Coupling Effect of Couple Stress and Turbulence

doi:10.3901/JME.2024.21.219

Abstract

Abstract: When dealing with the combined influence of the couple stress effect and the turbulent flow effect, the coupling effect between the two is not considered. To analyze the comprehensive influence of the couple stress effect and turbulence effect more accurately, the modified turbulence Reynolds equation considering the coupling effect between the two is derived from the momentum equation of lubricant flow. Compared with the existing uncoupled model equations, the modified turbulent Reynolds equation, the coupled model equation, has a smaller calculation value for the dimensionless maximum film pressure of the bearing under the same eccentricity ratio, couple stress parameters, and average Reynolds number. At the same time, the modified turbulent Reynolds equation was used to analyze the variation of bearing performance parameters with eccentricity ratio under different couple stress parameters and average Reynolds number. It was found that with the increase of eccentricity ratio, the larger the couple stress parameter or the average Reynolds number, the larger the dimensionless maximum film pressure and dimensionless load capacity of the bearing. At the same time, the change of the couple stress parameter does not affect the dimensionless side leakage of the bearing. In addition, the proposed modified turbulent Reynolds equation applies not only to journal bearings but also to high-speed hydrodynamic lubricated bearings such as thrust bearings and elliptical journal bearings.

Key words: ournal bearing, couple stress, turbulence, coupling effect

CLC Number:

TH117

ZHU Shaoyu, ZHANG Xiangjun, SUN Jun, WANG Dagang. Research on Lubrication of Journal Bearing Considering the Coupling Effect of Couple Stress and Turbulence[J]. Journal of Mechanical Engineering, 2024, 60(21): 219-231.

References

[1] 张直明，张言羊，谢友柏，等. 滑动轴承的流体动力润滑理论[M]. 北京：高等教育出版社，1986. ZHANG Zhiming，ZHANG Yanyang，XIE Youbai，et al. Hydrodynamic lubrication theory of plain bearings[M]. Beijing：Higher Education Press，1986.
[2] QIAO J，ZHOU G，PU W，et al. Coupling analysis of turbulent and mixed lubrication of water-lubricated rubber bearings[J]. Tribology International，2022，172：107644.
[3] DU Y，LAN J，QUAN H，et al. Effect of different turbulent lubrication models on the lubrication characteristics of water-lubricated rubber bearings at a high Reynolds number[J]. Physics of Fluids，2021，33(6)：065118.
[4] LIU G，LI M. Experimental study on the lubrication characteristics of water-lubricated rubber bearings at high rotating speeds[J]. Tribology International，2021，157：106868.
[5] TAYLOR C M，DOWSON D. Turbulent lubrication theory—application to design[J]. Journal of Lubrication Technology，1974，96(1)：36-46.
[6] WANG X，ZHANG Z，SUN M. A comparison of flow fields predicted by various turbulent lubrication models with existing measurements[J]. Journal of Tribology，2000，122(2)：475-477.
[7] MALLYA R，SHENOY S B，PAI R. Static characteristics of misaligned multiple axial groove water-lubricated bearing in the turbulent regime[J]. Proceedings of the Institution of Mechanical Engineers，Part J：Journal of Engineering Tribology，2017，231(3)：385-398.
[8] LV F，JIAO C，TA N，et al. Mixed-lubrication analysis of misaligned bearing considering turbulence[J]. Tribology International，2018，119：19-26.
[9] SOLGHAR A A，NASSAB G S A. Numerical analysis of turbulent lubrication in plain full journal bearings[J]. Industrial Lubrication and Tribology，2013，65(2)：91-99.
[10] XU G，ZHOU J，GENG H，et al. Research on the static and dynamic characteristics of misaligned journal bearing considering the turbulent and thermohydrodynamic effects[J]. Journal of Tribology，2015，137(2)：024504.
[11] 朱少禹，孙军，李彪，等. 粗糙表面湍流润滑的随机模型[J]. 机械工程学报，2019，55(9)：71-79. ZHU Shaoyu，SUN Jun，LI Biao，et al. Stochastic models for turbulent lubrication of rough surfaces[J]. Journal of Mechanical Engineering，2019，55(9)：71-79.
[12] ZHU S，SUN J，LI B，et al. Thermal turbulent lubrication analysis of rough surface journal bearing with journal misalignment[J]. Tribology International，2020，144：106109.
[13] LV F，SHANGGUAN Y，ZOU D，et al. Transient mixed-lubrication analysis of low-viscosity lubricated bearings under impact load with consideration of turbulence[J]. Physics of Fluids，2022，34(3)：033108.
[14] DOUSTI S，CAO J，YOUNAN A，et al. Temporal and convective inertia effects in plain journal bearings with eccentricity, velocity and acceleration[J]. Journal of Tribology，2012，134(3)：031704.
[15] LIN J R. Effects of couple stresses on the lubrication of finite journal bearings[J]. Wear，1997，206(1-2)：171-178.
[16] ELSHARKAWY A A，GUEDOUAR L H. An inverse solution for finite journal bearings lubricated with couple stress fluids[J]. Tribology International，2001，34(2)：107-118.
[17] WANG X L，ZHU K Q，WEN S Z. On the performance of dynamically loaded journal bearings lubricated with couple stress fluids[J]. Tribology International，2002，35(3)：185-191.
[18] MEHRJARDI M Z. Dynamic stability analysis of noncircular two-lobe journal bearings with couple stress lubricant regime[J]. Proceedings of the Institution of Mechanical Engineers，Part J：Journal of Engineering Tribology，2021，235(6)：1150-1167.
[19] KUMAR A，KAKOTY S K. Effect of couple stress parameter on steady-state and dynamic characteristics of three-lobe journal bearing operating on TiO₂ nanolubricant[J]. Proceedings of the Institution of Mechanical Engineers，Part J：Journal of Engineering Tribology，2020，234(4)：528-540.
[20] SOME S，GUHA S K. Steady-state performance analysis of misaligned double-layered porous journal bearings under coupled-stress lubrication with slip flow and additives percolation effect[J]. Proceedings of the Institution of Mechanical Engineers，Part J：Journal of Engineering Tribology，2019，233(6)：841-858.
[21] 王晓力，朱克勤. 应力偶对滑动轴承热流体动力学特性的影响[J]. 清华大学学报，2002，42(2)：239-242. WANG Xiaoli，ZHU Keqin. Effect of couple stress on the thermohydrodynamic performance of journal bearings[J]. Journal of Tsinghua University，2002，42(2)：239-242.
[22] WANG X L，ZHU K Q，GUI C L. A study of a journal bearing lubricated by couple stress fluids considering thermal and cavitation effects[J]. Proceedings of the Institution of Mechanical Engineers，Part J：Journal of Engineering Tribology，2002，216(5)：293-305.
[23] 王晓力，朱克勤. 计入应力偶效应和空化效应的滑动轴承热流体动力润滑数值研究[J]. 工程力学，2002，19(5)：160-164. WANG Xiaoli，ZHU Keqin. A numerical study of the thermohydrodynamic performance of journal bearings considering the effect of couple stress and cavitation[J]. Engineering Mechanics，2002，19(5)：160-164.
[24] 张俊岩，王晓力. 基于质量守恒边界条件的应力偶流体润滑动载轴承特性[J]. 机械工程学报，2010，46(15)：102-106. ZHANG Junyan，WANG Xiaoli. Performance of dynamically loaded journal bearing with couple stress fluids considering mass-conserving boundary condition[J]. Journal of Mechanical Engineering，2010，46(15)：102-106.
[25] MOKHIAMER U M，CROSBY W A，EL-GAMAL H A. A study of a journal bearing lubricated by fluids with couple stress considering the elasticity of the liner[J]. Wear，1999，224(2)：194-201.
[26] ZHENG L，ZHU H，ZHU J，et al. Effects of oil film thickness and viscosity on the performance of misaligned journal bearings with couple stress lubricants[J]. Tribology International，2020，146：106229.
[27] ZHU S，ZHANG X. Thermohydrodynamic lubrication analysis of misaligned journal bearing considering surface roughness and couple stress[J]. Proceedings of the Institution of Mechanical Engineers，Part J：Journal of Engineering Tribology，2022，236(11)：2243-2260.
[28] CHANG-JIAN C W，CHEN C K. Nonlinear analysis of a rub-impact rotor supported by turbulent couple stress fluid film journal bearings under quadratic damping[J]. Nonlinear Dynamics，2009，56：297-314.
[29] SHENOY B S，PAI R. Effect of turbulence on the static performance of a misaligned externally adjustable fluid film bearing lubricated with couple stress fluids[J]. Tribology International，2011，44(12)：1774-1781.
[30] CHETTI B. The effect of turbulence on the performance of a two-lobe journal bearing lubricated with a couple stress fluid[J]. Industrial Lubrication and Tribology，2016，68(3)：336-340.
[31] CHETTI B. Combined effects of turbulence and elastic deformation on the performance of a journal bearing lubricated with a couple stress fluid[J]. Proceedings of the Institution of Mechanical Engineers，Part J：Journal of Engineering Tribology，2018，232(12)：1597-1603.
[32] FRENE J，ARGHIR M，CONSTANTINESCU V. Combined thin-film and Navier–Stokes analysis in high Reynolds number lubrication[J]. Tribology International，2006，39(8)：734-747.
[33] NG C W，PAN C H T. A linearized turbulent lubrication theory[J]. Journal of Basic Engineering，1965，87(3)：675-682.
[34] CONSTANTINESCU V N. On the influence of inertia forces in turbulent and laminar self-acting films[J]. Journal of Lubrication Technology，1970，92(3)：473-480.
[35] CONSTANTINESCU V N，GALETUSE S. On the possibilities of improving the accuracy of the evaluation of inertia forces in laminar and turbulent films[J]. Journal of Lubrication Technology，1974，96(1)：69-77.
[36] STOKES V K. Couple stresses in fluids[J]. The Physics of Fluids，1966，9(9)：1709-1715.