基于微凸体侧接触模型，推导了机械密封端面混合摩擦热计算式，研究了转速、摩擦间隙和粗糙度对常用机械密封端面混合摩擦热的影响。结果表明：常用混合摩擦状态下的机械密封端面微凸体接触多为第Ⅱ类弹塑性接触；当转速ω ≤ 2 800 r/min时，微凸体接触摩擦热所占比重较大，但随着转速上升，黏性摩擦热比重逐渐增大至百分之百；随着摩擦间隙d的增大，黏性摩擦热和微凸体接触摩擦热曲线均呈下降趋势，当d ≥ 2.8σ时，微凸体接触摩擦热减小至零，而黏性摩擦热随d变化不大；随着粗糙度的增加，端面摩擦热先下降后上升，在近1.6 μm处最小，因而在机械密封设计时，存在某一粗糙度使混合摩擦热最少。
胡琼
,
孙见君
,
马晨波
,
于波
. 基于微凸体侧接触模型的机械密封端面混合摩擦热理论预测[J]. 机械工程学报, 2017
, 53(21)
: 102
-108
.
DOI: 10.3901/JME.2017.21.102
Based on shoulder-shoulder contact model of asperities, mixed frictional heat expressions of mechanical seals are derived. The influences of rotational speed, friction gap and roughness on the frictional heat are also investigated. The results show common mechanical seals in mixed lubrication mostly operate with second elastic-plastic contact. The frictional heat from asperity contact takes more proportion of total frictional heat when ω ≤ 2 800 r/min is presented, but the viscous part gradually rises as the rotational speed increases and eventually equals to the total. Also, with the increased friction gap, the asperity and viscous frictional heat both decrease, however the former decreases to zero when d ≥ 2.8σ while the latter changes little. As the roughness of seal end faces increases, the total frictional heat dramatically falls first and then tends to invariable, which indicates it is profitable for reducing mixed frictional heat to properly increase the roughness on seal end faces.
[1] LEBECK A O, NYGREN M E, SHIRAZI S A,et al. Fluid temperature and film coefficient prediction and measurement in mechanical face seals-experimental results[J]. Tribology Transactions, 1998, 41(4):411-422.
[2] SHIRAZI S A, SOULISA R, LEBECK A O, et al. Fluid temperature and film coefficient prediction and measurement in mechanical face seals-numerical results[J]. Tribology Transactions, 1998, 41(4):459-470.
[3] BILGEN E, BOULOS R. Functional dependence of torque coefficient of coaxial cylinders on gap width and Reynolds numbers[J]. ASME Journal of Fluids Engineering, 1973, 95(1):122-126.
[4] WU D Z, JIANG X K, YANG S, et al. Three-dimensional coupling analysis of flow and thermal performance of a mechanical seal[J]. ASME Journal of Thermal Science and Engineering Applications, 2014, 6(1):0110121-0110129.
[5] MERATI P, OKITA N A, PHILLIPS R L, et al. Experimental and computational investigation of flow and thermal behavior of a mechanical seal[J]. Tribology Transactions, 1999, 42(4):731-738.
[6] POPOV V L. Contact mechanics and friction physical principles and applications[M]. Berlin:Springer-Verlag, 2010.
[7] LEBECK A O. Mixed lubrication in mechanical face seals with plain faces[J]. Proceedings of the Institution of Mechanical Engineering, Part J:Journal of Engineering Tribology, 1999, 213(3):163-175.
[8] RUAN B, SALANT R F, GREEN I. A mixed lubrication model of liquid/gas mechanical face seals[J]. Tribology Transactions, 1997, 40(4):647-657.
[9] WEN Q F, LIU Y, HUANG W F, et al. The effect of surface roughness on thermal-elasto-hydrodynamic model of contact mechanical seals[J]. Physics, Mechanics & Astronomy, 2013, 56(10):1920-1929.
[10] GUO F, JIA X H, SUO S F, et al. A mixed lubrication model of a rotary lip seal using flow factors[J]. Tribology International, 2013, 57:195-201.
[11] BRUNETIERE N. An analytical approach of the thermoelastohydrodynamic behavior of mechanical face seals operating in mixed lubrication[J]. Proceedings of the Institution of Mechanical Engineering, 2010, 224(12):1221-1233.
[12] SEPEHRI A, FARHANG K. On elastic interaction of nominally flat rough surfaces[J]. ASME Journal of Tribology, 2008, 130(1):0110141-0110145.
[13] ABDO J, FARHANG K. Elastic-plastic contact model for rough surfaces based on plastic asperity concept[J]. International Journal of Non-Linear Mechanics, 2005, 40(4):495-506.
[14] SEPEHRI A, FARHANG K. Closed-form equations for three dimensional elastic-plastic contact of nominally flat rough surfaces[J]. ASME Journal of Tribology, 2009, 131(4):0414021-0414028.
[15] 周剑锋,顾伯勤. 机械密封环的传热特性分析[J]. 机械工程学报, 2006, 42(9):201-206. ZHOU Jianfeng, GU Boqin. Heat-transfer character analysis of rings of mechanical seal[J]. Chinese Journal of Mechanical Engineering, 2006, 42(9):201-206.
[16] BRUNETIERE N, APOSTOLESCU A. A simple and easy-to-use TEHD model for non-contacting liquid face seals[J]. Tribology Transactions, 2003, 46(2):187-192.
[17] KOGUT L, ETSION I. A finite element based elasticplastic model for the contact of rough surfaces[J]. Tribology Transactions, 2003, 46(3):383-390.
[18] BHUSHAN B. Introduction to tribology[M]. New York:John Wiley & Sons, 2002.
[19] SEPEHRI A, FARHANG K. A finite element-based elastic-plastic model for the contact of rough surfaces[J]. Tribology Transactions, 2003, 46:383-390.
[20] PATIR N, CHENG H S. An average flow model to lubrication between rough sliding surfaces[J]. ASME Journal of Lubrication Technology, 1978, 100:12-17.
[21] PATIR N, CHENG H S. Application of average flow model to lubrication between rough sliding surfaces[J]. ASME Journal of Lubrication Technology, 1979, 101:220-230.
[22] MAYER E. Mechanical seals[M]. 3rd ed. London:Newnes-Butterworth, 1997.
[23] MINET C, BRUNETIERE N, TOURNERIE B. A deterministic mixed lubrication model for mechanical seals[J]. ASME Journal of Tribology, 2011, 133(4):04220301-04220311.
[24] SISTA B, VEMAGANT K. Estimation of statistical parameters of rough surfaces suitable for developing micro-asperity friction models[J]. Wear, 2014, 316(6):6-18.
