密封界面微孔结构的三维分形重构技术与泄漏特性

doi:10.19596/j.cnki.1001-246x.7889

计算物理 ›› 2019, Vol. 36 ›› Issue (4): 440-448.DOI: 10.19596/j.cnki.1001-246x.7889

密封界面微孔结构的三维分形重构技术与泄漏特性

许国良, 朱一萍, 方林, 杜阳, 黄晓明

华中科技大学能源与动力工程学院, 湖北武汉 430074

收稿日期:2018-04-25 修回日期:2018-06-27 出版日期:2019-07-25 发布日期:2019-07-25
通讯作者: 黄晓明(1977-),女,副教授,研究方向为热流体科学领域,E-mail:xmhuang@hust.edu.cn
作者简介:许国良(1967-),男,教授,研究方向为流动与传热,E-mail:scoee@hust.edu.cn
基金资助:
国家自然科学基金（51576077）资助项目

Three-dimensional Fractal Reconstruction Technique and Leakage Characteristics of Micro-pore Sealing Interfaces

XU Guoliang, ZHU Yiping, FANG Lin, DU Yang, HUANG Xiaoming

School of Energy and Power Engineering, Huazhong University of Science and Technology, Hubei Wuhan 430074, China

Received:2018-04-25 Revised:2018-06-27 Online:2019-07-25 Published:2019-07-25

摘要/Abstract

摘要： 基于分形粗糙表面的三维数值重构技术，对界面微孔结构的分形表征进行详细研究，并应用分形多孔介质输运理论构建界面泄漏机理模型，建立微观形貌与宏观泄漏率之间的理论关系式.用有限元分析法对单粗糙峰的接触变形进行模拟，获得最大孔径的变形位移，实现微观接触力学与微观泄漏模型的有效耦合.应用所提出的预测模型对金属垫片泄漏率进行计算，结果与已有实验结果相吻合.由预测模型可知，粗糙表面分形维数、特征尺度系数以及变形位移量对微孔几何结构影响显著，是影响界面泄漏率的关键因素.

关键词: 密封界面, 三维分形, 微孔结构, 数值重构, 泄漏特性

Abstract: Fractal characteristics of interface micro-porous structure is studied in detail with three-dimensional numerical reconstruction technology of fractal rough surface. An interfacial leakage mechanism model is built based on fractal porous media transport theory. Relation between microscopic morphology and macroscopic leakage rate is obtained. Contact behavior of a single asperity is simulated with finite element analysis, and deformation displacement of the maximum aperture is obtained. Effective coupling between microscopic contact mechanics and microscopic leakage model is achieved. Results of prediction model are in good agreement with experimental results in predicting metal gasket leakage rate. It is found that fractal dimension, and characteristic scale coefficient of rough surface and deformation displacement have great influence on geometry morphology of interface microporous structure, and therefore, are key factors of interfacial leakage rate.

Key words: seal interfaces, three-dimensional fractal, micro-pore structure, numerical reconstruction, leakage characteristics

中图分类号:

TB42

许国良, 朱一萍, 方林, 杜阳, 黄晓明. 密封界面微孔结构的三维分形重构技术与泄漏特性[J]. 计算物理, 2019, 36(4): 440-448.

XU Guoliang, ZHU Yiping, FANG Lin, DU Yang, HUANG Xiaoming. Three-dimensional Fractal Reconstruction Technique and Leakage Characteristics of Micro-pore Sealing Interfaces[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 36(4): 440-448.

参考文献

[1] ROOS E, KOCKELMANN H, HAHN R. Gasket characteristics for the design of bolted flange connections of metal-to-metal contact type[J]. International Journal of Pressure Vessels & Piping, 2002, 79(1):45-52.
[2] SAEED H A, IZUMI S, SAKAI S, et al. Development ofnew metallic gasket and its optimum design for leakage performance[J]. Journal of Solid Mechanics and Material Engineering,2008,2(1):105-114.
[3] 庄法坤, 谢国山, 邵珊珊,等. 金属平垫片螺栓法兰接头泄漏预测的可行性研究[C]//中国特种设备安全. 2015,31(1):49-54.
[4] 尤文卿, 吕瑞典, 张振姝. 垫片密封综合评价方法研究[J]. 石油化工设备, 2007, 36(2):25-27.
[5] 孙振国, 顾伯勤. 非金属垫片螺栓法兰连接寿命评价[J]. 润滑与密封, 2011, 36(3):37-40.
[6] 冯秀, 顾伯勤. 金属垫片密封连接的泄漏率计算[J]. 化工学报, 2010, 61(5):1208-1212
[7] 任晓, 吴承伟, 周平. 粗糙表面的气体密封性能研究[J]. 机械工程学报, 2010, 46(16):176-181.
[8] 孙见君, 陈国旗, 嵇正波, 马晨波. 接触式机械密封界面泄漏机理分析[J]. 化工学报, 2017, 69(4):1528-1536.
[9] 吕祥奎, 杨文健, 许国良,等. 密封结构中粗糙表面特征对其气密性的影响[J]. 机械工程学报, 2015, 51(23):110-115.
[10] 冯秀, 陆锋. 基于分形理论的粗糙密封表面接触模型[J]. 苏州大学学报:工科版, 2008, 28(3):29-33.
[11] JOLLY P, MARCHAND L. Leakage predictions for static gasket based on the porous media theory[J]. Journal of Pressure Vessel Technology, 2009, 131(2):021203-1-021203-6.
[12] BOTTIGLIONE F, CARBONE G, MANGIALARDI L, et al. Leakage mechanism in flat seals[J]. Journal of Applied Physics, 2009, 106(10):104902-1-104902-7.
[13] XIANG K L, LI Y, HE G L. The combined mathematical model of non-Newtonian power-law fluids with low-velocity non-Darcy flow in fractal trservoirs[J]. Chinese Journal of Computational Physics, 2002, 19(3):239-244.
[14] WANG S, MA Z F, YAO H Q. Fourier-Bessel series algorithm in fractal diffusion model for porous media[J]. Chinese Journal of Computational Physics, 2008, 25(3):289-295.
[15] ZHENG Q, XU J, YANG B, et al. A fractal model for gaseous leak rates through contact surfaces under non-isothermal condition[J]. Applied Thermal Engineering, 2013, 52(1):54-61.
[16] 郁伯铭,徐鹏,邹清明,等. 分形多孔介质输运物理[M]. 北京:科学出版社,2014:294
[17] YU B M, LI J H. Some fractal characters of porous media[J]. Fractals-complex Geometry Patterns & Scaling in Nature & Society, 2001, 9(03):365-372.
[18] YU B, PING C. A fractal permeability model for bi-dispersed porous media[J]. International Journal of Heat & Mass Transfer, 2002, 45(14):2983-2993.
[19] 黄晓明,姚博,许国良,等. 基于分形多孔介质输运的金属垫片泄漏研究[J]. 华中科技大学学报(自然科学版), 2016, 44(10):1-5.
[20] AUSLOOS M, BERMAN D H. A multivariate Weierstrass-Mandelbrot function[J]. Proceedings of the Royal Society of London, 1985, 400(1819):331-350.
[21] YAN W, KOMVOPOULOS K. Contact analysis of elastic-plastic fractal surfaces[J]. Journal of Applied Physics, 1998, 84(7):3617-3624.
[22] LO S W. A study on flow phenomena in mixed lubrication regime by porous medium model[J]. Journal of Tribology, 1994, 116(3):640-647.
[23] 冯秀. 金属垫片密封模型及应用研究[D]. 南京:南京工业大学, 2006.
[24] 周鑫, 庞贺伟, 刘宏阳. 球面密封结构的漏率预估[J]. 宇航学报, 2007, 28(3):762-766.

密封界面微孔结构的三维分形重构技术与泄漏特性

Three-dimensional Fractal Reconstruction Technique and Leakage Characteristics of Micro-pore Sealing Interfaces

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