CIESC Journal ›› 2019, Vol. 70 ›› Issue (3): 995-1005.doi: 10.11949/j.issn.0438-1157.20181075

• Surface and interface engineering • Previous Articles     Next Articles

Unified model and geometrical optimization of bi-directional groove of dry gas seal based on genetic algorithm

Qichao XU(),Jinbo JIANG(),Xudong PENG,Jiyun LI,Yuming WANG   

  1. 1. Engineering Research Center of Process Equipment and Its Remanufacturing of Ministry of Education, Zhejiang University of Technology, Hangzhou 310014, Zhejiang, China
  • Received:2018-09-26 Revised:2018-12-20 Online:2019-03-05 Published:2018-12-29
  • Contact: Jinbo JIANG;


The steady-state performance of bi-directional groove dry gas seal can be enhanced by new proposed geometrical model with strong representational capability and new introduced optimization method with strong global search ability. On the basis of analyzing the structural characteristics of typical bi-directional grooves of dry gas seals, a new type of unified model of bi-directional groove with variable spiral angle of hydrodynamic groove was proposed. The geometrical model and mathematical model of dry gas seal with unified model groove were established. The gas film pressure control equations were resolved by use of finite difference method, and the steady-state performance, such as opening force and film stiffness, were obtained. The effect of spiral angle of upstream and downstream hydrodynamic groove on steady-state performance was analyzed, and effect of three typical optimization methods, including single factor optimization, iterative optimization and genetic algorithm optimization, on the enhancement of steady-state performance of bi-directional groove under different working conditions were compared numerically. The results show that compared with the single-factor optimization of the two-way tree-shaped groove dry gas seal, the opening force and film stiffness obtained by the unified model groove dry gas seal based on genetic algorithm are significantly improved, and the maximum increase is 6% and 55% respectively. The bi-directional groove shaped like an aircraft wing with upstream spiral angle equals to 0°—90° and downstream spiral angle equals to 90°—180° possesses the maximum opening force and film stiffness under high-speed condition.

Key words: dry gas seal, bi-directional rotating, optimal design, genetic algorithm, stability

CLC Number: 

  • TH 117.2


Schematic diagram of typical bidirectional groove of dry gas seal"


Unified model of bi-directional groove with variable inclined angle of hydrodynamic groove"


Bi-directional groove surface with different values of β1 and β2"


Program chart of single factor optimization and iterative optimization"


Program chart of genetic algorithm optimization"


Effect of spiral angle of hydrodynamic groove on steady performance of dry gas seal"


Optimal groove width ratio and groove length ratio under different parameters"


Pressure distribution of bi-directional groove surface with different values of β1 and β2"


Effect of genetic algebra on film stiffness of dry gas seal"


Evolution of optimized bi-directional groove with genetic algebra"


Effect of optimization method and geometrical model on steady performance of bi-directional dry gas seal"


Pressure distribution of optimized bi-directional groove with different optimization method and geometrical model"


Increment ratio of steady performance of bi-directional groove dry gas seal under different working conditions"


Optimized bi-directional groove under different working conditions"

1 FariaM T C. An efficient finite element procedure for analysis of high-speed spiral groove gas face seals[J]. ASME Journal of Tribology, 2001, 123(1): 165-169.
2 彭旭东, 江锦波, 白少先, 等. 中低压干气密封螺旋槽结构参数优化[J]. 化工学报, 2014, 65(11): 4536-4541.
PengX D, JiangJ B, BaiS X, et al. Structural parameter optimization of spiral groove dry gas seal under low or medium pressure[J]. CIESC Journal, 2014, 65(11): 4536-4541.
3 GruenewaldM, WagnerW. Recent progress in compressor sealing[J]. Sealing Technology, 2005, 2005(8): 6-8.
4 SaxenaM N. Dry gas seals and support systems: benefits and options [J]. Hydrocarbon Processing, 2003, 82(11): 37-41.
5 MaC H, BaiS X, PengX D. Thermoelastohydro –dynamic characteristics of T-grooves gas face seals [J]. International Journal of Heat and Mass Transfer, 2016, 102: 277-286.
6 李涛子, 张秋翔, 蔡纪宁, 等. T型槽干气密封稳态特性的有限元分析[J]. 北京化工大学学报, 2003, 30(2): 58-62.
LiT Z, ZhangQ X, CaiJ N, et al. Steady-state performance analysis of T-shape groove dry gas seals by a finite element method[J]. Journal of Beijing University of Chemical Technology, 2003, 30(2): 58-62.
7 宋鹏云, 胡晓鹏, 许恒杰. 实际气体对T槽干气密封动态特性的影响[J]. 化工学报, 2014, 65(4): 1344-1352.
SongP Y, HuX P, XuH J. Effect of real gas on dynamic performance of T-groove dry gas seal[J]. CIESC Journal, 2014, 65(4): 1344-1352.
8 彭旭东, 张岳林, 白少先, 等. 转速压力对T型槽干气密封槽型几何结构参数优选值的影响[J]. 化工学报, 2012, 63(2): 551-559.
PengX D, ZhangY L, BaiS X, et al. Effect of rotational speed and sealing medium pressure on optimization of groove geometric parameters of a T-groove dry gas face seal[J]. CIESC Journal, 2012, 63(2): 551-559.
9 王衍, 孙见君, 陶凯, 等. T型槽干气密封数值分析及槽型优化[J]. 摩擦学学报, 2014, 34(4): 420-427.
WangY, SunJ J, TaoK, et al. Numerical analysis of T-groove dry gas seal and groove optimization[J]. Tribology, 2014, 34(4): 420-427.
10 王衍, 孙见君, 马晨波, 等. 改良T型槽干气密封多参数CFD数值分析[J]. 中南大学学报(自然科学版), 2014, 45(6): 1834-1840.
WangY, SunJ J, MaC B, et al. Multi parameter CFD numerical analysis of improved T-groove dry gas seal[J]. Journal of Central South University(Science and Technology), 2014, 45(6): 1834-1840.
11 GoldswainI M. Mechanical face seals: EP499370A1 [P]. 1992-08-19.
12 PechtG G, NetzelJ P. Design and application of non-contacting gas lubricated seasls for slow seed services[J]. Lubrication Engineering, 1999, 55(7): 20-25.
13 SuH, RahmaniR, RahnejatH. Thermohydro- dynamics of bidirectional groove dry gas seals with slip flow[J]. International Journal of Thermal Sciences, 2016, 110: 270-284.
14 马媛媛, 彭旭东, 白少先, 等. 双向旋转树型槽密封端面气膜动压特性[J].流体机械, 2012, 40(1): 13-16.
MaY Y, PengX D, BaiS X, et al. Analysis of hydrodynamic characteristics of bi-directional fir tree groove gas face seal[J]. Fluid Machinery, 2012, 40(1): 13-16.
15 董华东, 戚俊清, 许培援, 等. 双列燕尾槽干气密封端面流场的数值模拟[J]. 润滑与密封, 2012, 37(5): 78-81.
DongH D, QiJ Q, XuP Y, et al. Numerical simulation of face flow field on two-row dovetail-shape groove dry gas seal[J]. Lubrication Engineering, 2012, 37(5): 78-81.
16 刘正先, 周越. 双向干气密封气膜运行特性的数值分析[J]. 工程热物理学报, 2013, 34(8): 1466-1469.
LiuZ X, ZhouY. Numerical analysis of gas dynamic characteristics in bi-directional dry gas seal[J]. Journal of Engineering Thermophysics, 2013, 34(8): 1466-1469.
17 LipschitzA. Bi-directional non-contact face seal: US5143384[P]. 1989-04-14.
18 LipschitzA, BasuP, JohnsonR P. A bi-directional gas thrust bearing[J]. Tribology Transactions, 1991, 34(1): 9-16.
19 BasuP. Analysis of a radial groove gas face seal[J]. Tribology Transactions, 1992, 35(1): 11-20.
20 ShellefR A, JohnsonR P. A bi-directional gas face seal[J]. Tribology Transactions, 1992, 35(1): 53-58.
21 MaF B, SongP Y, GaoJ. Numerical analysis of radial groove gas-lubricated face seals at slow speed condition[J].Advanced Materials Research, 2012, 468-471: 2304-2309.
22 冷晓静. 单列双向螺旋槽干气密封的性能研究[D]. 东营: 中国石油大学, 2009.
LengX J. Research on performance of dry gas seal with single-row bidirectional spiral grooves[D]. Dongying: China University of Petroleum, 2009.
23 BlochH P.Consider dry gas seals for centrifugal compressors[J]. Hydrocarbon Processing, 2005, 84(1): 9-10.
24 陈侃, 黄泽沛, 张车宁, 等. 具有双旋向流体动压槽的非接触式机械密封环: 103453147A [P]. 2013-12-18.
ChenK, HuangZ P, ZhangC N, et al. Non-contact mechanical seal ring with bi-directional hydrodynamic grooves: 103453147A [P]. 2013-12-18.
25 MurakiR. Shaft seal device: EP1231419A2[P]. 2001-09-02.
26 耿志翔. 不同槽型气体端面密封稳态特性的有限元分析[D]. 北京: 北京化工大学, 2005.
GengZ X. Finite element method for the steady-state performance analysis of different groove gas face seals[D]. Beijing: Beijing University of Chemical Technology, 2005.
27 王玉明. 可双向旋转的双列双叶螺旋槽端面密封: 1206801A[P]. 1999-02-03.
WangY M. Mechanical seal with bidirectional two-rowing spiral groove: 1206801A[P]. 1999-02-03.
28 彭建, 洪先志. 双向干气密封摩擦副: 102588605A [P]. 2012-07-18.
PengJ, HongX Z. Bi-directional dry gas seal friction pairs: 102588605A [P]. 2012-07-18.
29 江锦波, 彭旭东, 白少先, 等. 仿鸟翼微列螺旋槽干气密封性能分析与选型[J]. 摩擦学学报, 2015, 35(3): 274-281.
JiangJ B, PengX D, BaiS X, et al. Performance analysis and selection of a bionic bird wing multi-array spiral groove dry gas seal[J]. Tribology, 2015, 35(3): 274-281.
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[1] LING Lixia, ZHANG Riguang, WANG Baojun, XIE Kechang. Pyrolysis Mechanisms of Quinoline and Isoquinoline with Density Functional Theory[J]. , 2009, 17(5): 805 -813 .
[2] LEI Zhigang, LONG Aibin, JIA Meiru, LIU Xueyi. Experimental and Kinetic Study of Selective Catalytic Reduction of NO with NH3 over CuO/Al2O3/Cordierite Catalyst[J]. , 2010, 18(5): 721 -729 .
[3] SU Haifeng, LIU Huaikun, WANG Fan, LÜXiaoyan, WEN Yanxuan. Kinetics of Reductive Leaching of Low-grade Pyrolusite with Molasses Alcohol Wastewater in H2SO4[J]. , 2010, 18(5): 730 -735 .
[4] WANG Jianlin, XUE Yaoyu, YU Tao, ZHAO Liqiang. Run-to-run Optimization for Fed-batch Fermentation Process with Swarm Energy Conservation Particle Swarm Optimization Algorithm[J]. , 2010, 18(5): 787 -794 .
[5] SUN Fubao, MAO Zhonggui, ZHANG Jianhua, ZHANG Hongjian, TANG Lei, ZHANG Chengming, ZHANG Jing, ZHAI Fangfang. Water-recycled Cassava Bioethanol Production Integrated with Two-stage UASB Treatment[J]. , 2010, 18(5): 837 -842 .
[6] Gao Ruichang, Song Baodong and Yuan Xiaojing( Chemical Engineering Research Center, Tianjin University, Tianjin 300072). LIQUID FLOW DISTRIBUTION IN GAS - LIQUID COUNTER - CONTACTING PACKED COLUMN[J]. , 1999, 50(1): 94 -100 .
[7] Su Yaxin, Luo Zhongyang and Cen Kefa( Institute of Thermal Power Engineering , Zhejiang University , Hangzhou 310027). A STUDY ON THE FINS OF HEAT EXCHANGERS FROM OPTIMIZATION OF ENTROPY GENERATION[J]. , 1999, 50(1): 118 -124 .
[8] Luo Xiaoping(Department of Industrial Equipment and Control Engineering , South China University of Technology, Guangzhou 510641)Deng Xianhe and Deng Songjiu( Research Institute of Chemical Engineering, South China University of Technology, Guangzhou 5106. RESEARCH ON FLOW RESISTANCE OF RING SUPPORT HEAT EXCHANGER WITH LONGITUDINAL FLUID FLOW ON SHELL SIDE[J]. , 1999, 50(1): 130 -135 .
[9] Jin Wenzheng , Gao Guangtu , Qu Yixin and Wang Wenchuan ( College of Chemical Engineering, Beijing Univercity of Chemical Technology, Beijing 100029). MONTE CARLO SIMULATION OF HENRY CONSTANT OF METHANE OR BENZENE IN INFINITE DILUTE AQUEOUS SOLUTIONS[J]. , 1999, 50(2): 174 -184 .

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Combustion of pulverized coal in O2/CO2 mixtures and its pore structure development

[J]. , 2008, 59(11): 2891 -2897 .