Abstract：The analytical methods for estimating pressure distribution on the end face of a dry gas seal(DGS)were reviewed, and then a novel algorithm for non-isothermal conditions was proposed in this paper based on the Whipple infinite narrow-groove theory. The Tripp function was used to get a temperature profile along the radius on the end face. The heat conductivity angle of gas was selected to be 3 times the conductivity angle of liquid based on experience. To solve the adjusted Gabriel differential functions more conveniently, a curve fitting method was applied to obtain an approximate analytical function of temperature profile T(r). The differential equations were solved by using 4th-order Rung-Kutta method. Compared with the results in literature, the pressures at groove bottom pg obtained by the present method are increased by 6.8%, 5.0%, 2.7% when the film thicknesses are 5.08, 3.05, 2.03 μm, respectively. And this result is consistent with the existing pressure distribution characteristic on a DGS end face. Compared with FEA(finite element analysis), the present novel method can easily be applied in engineering.
陈侃, 黄泽沛, 姚进, 张智. 不等温下螺旋槽干气密封端面压力分布计算[J]. 排灌机械工程学报, 2013, 31(7): 605-610.
Chen Kan, Huang Zepei, Yao Jin, Zhang Zhi. Approximately estimating pressure distribution in gas lubricated spiral grooved face seal under non-isothermal conditions. Journal of Drainage and Irrigation Machinery Engin, 2013, 31(7): 605-610.
[1]Sedy J. Improved performance of film-riding gas seals through enhancement[J]. ASLE Transactions, 1980, 23(1):35-44.[2]Whipple R T.Herringbone-Pattern Thrust Bearings[M].Harwell:[s.n.], 1951.[3]Muijderman E A. Spiral groove bearings [J].Industrial Lubrication and Tribology,1965,17(1):12-17.[4]Gabriel R P. Fundamental of spiral groove noncontacting face seals[J].Lubrication Engineers, 1994,50(3):215-224.[5]朱维兵, 周圣人, 王和顺. 静压干气密封端面温度场分析 [J]. 西华大学学报:自然科学版, 2010, 29(6):19-21. Zhu Weibing, Zhou Shengren, Wang Heshun. Analysis of end surface temperature field for static pressure dry gas seal [J].Journal of Xihua University:Natrual Science, 2010,29(6):19-21.(in Chinese)[6]宋鹏云. 螺旋槽干气密封端面气膜压力计算方法讨论 [J]. 润滑与密封, 2009, 34(7): 7-9. Song Pengyun. Discussion about the calculation methods of the gas film pressure of the spiral groove dry gas seals [J]. Lubrication Engineering, 2009, 34(7):7-9.(in Chinese)[7]刘亚莉, 张强, 赵丽丽, 等. 基于MATLAB的螺旋槽干气密封性能分析 [J]. 化工机械, 2011, 39(1): 41-43. Liu Yali, Zhang Qiang, Zhao Lili, et al. Performance analysis of spiral groove dry gas seal with MATLAB [J].Chemical Engineering & Machinery, 2011, 39(1): 41-43.(in Chinese)[8]朱孝平, 汪久根, 周桂如. 机械密封端面温度简化计算模型 [J]. 流体机械, 1996, 23(9):31-36. Zhu Xiaoping, Wang Jiugen, Zhou Guiru. The simple model of mechanical end face thermo conditions[J]. Fluid Machinery, 1996, 23(9):31-36.(in Chinese)[9]Pascovici M D, Etsion I.Thermo-hydrodynamic analysis of a mechanical face seal[J]. Journal of Tribology, 1992, 114(4): 639-645.[10]Etsion I, Groper M. The accuracy of analytical solution for the temperature distribution in mechanical face seal [C]//Proceedings of the 14th International Conference on Fluid Sealing. Florence, Italy:[s.n.], 1994: 341-350.[11]Greenwood J A, Tripp J H. The contact of two nominally flat rough surfaces [J].Proceedings of the Institution of Mechanical Engineers, 1970, 185(1):625-633.[12]Mayer E. Axiale Gleitringdichungen[M].Siebte, neubearbeitete und erweiterte. Dusseldorf: VDI-Verlag GmbH, 1982.[13]Jiang J P, Li D X. Finite element formulations for thermopiezoelectric laminated composite plates[J]. Smart Materials and Structures, 2008, 17(1):015027.
