A proper orthogonal decomposition method is applied to transient response analysis of spiral groove mechanical gas seal. Transient responses of gas face seal under a set of specified pressure step is simulated directly as samples by solving transient Reynolds equation and dynamic equation. The reduced-order model is established by basic functions generated from samples by proper orthogonal decomposition. The model can be used for calculating transient response under widespread pressure step. The comparison of results from reduced-order model and direct simulation comes to following conclusions. Error shows a decreasing trend with increasing number of basic functions, and increases as the example calculated differs greatly with samples. Proper orthogonal decomposition method can get result of high accuracy with appropriate sample and enough basis functions, and the speed is higher than direct simulation significantly.
YIN Yuan
,
HUANG Weifeng
,
LIU Xiangfeng
,
HU Songtao
,
LIU Ying
. Spiral Groove Gas Face Seal Transient Response Analysis Based on Proper Orthogonal Decomposition Method[J]. Journal of Mechanical Engineering, 2017
, 53(21)
: 79
-85
.
DOI: 10.3901/JME.2017.21.079
[1] 杨惠霞,王玉明. 泵用干气密封技术及应用研究[J]. 流体机械, 2005(2):1-4. YANG Huixia, WANG Yuming. Technology and industrial application of dry gas seals for centrifugal pump[J]. Fluid Machinery, 2005(2):1-4.
[2] BRUNETIERE N, THOMAS S, TOURNERIE B. The parameters influencing high-pressure mechanical gas face seal behavior in static operation[J]. Tribology Transactions, 2009, 52(5):643-654.
[3] 黄伟峰,高志,黎安伟,等. 基于Reynolds方程和基于N-S方程的干气密封性能分析对比[J]. 清华大学学报, 2010(11):1820-1824. HUANG Weifeng,GAO Zhi,LI Anwei,et al. Comparison between Reynolds equation and Navier-Stokes equation on spiral-grooved dry gas seals[J]. Journal of Shanghai University, 2010(11):1820-1824.
[4] SHAPIRO W, COLSHWE R. Steady-State and dynamic analysis of a jet engine, gas lubricated shaft seal[J]. ASLE Transactions, 1974, 17(3):190-200.
[5] MILLWE B, GREEN I. Numerical formulation for the dynamic analysis of spiral-grooved gas face seal[J]. Journal of Tribology, 2001, 123(2):395-403.
[6] RUAN B. Numerical modeling of dynamic sealing behaviors of spiral groove gas face seals[J]. Journal of Tribology, 2002, 124(1):186-95.
[7] 赵星宇,刘莹,高志,等. 自适应接触式机械密封性能研究[J]. 机械工程学报, 2015, 51(15):9-19. ZHAO Xingyu, LIU Ying, GAO Zhi, et al. Sealing performance of adaptive contacting mechanical seal[J]. Journal of Mechanical Engineering, 2015, 51(15):9-19.
[8] ZIRKELBACK N, ANSRES L. Effect of frequency excitation on force coefficients of spiral groove gas seals[J]. Journal of Tribology, 1998, 121:853-863.
[9] MILLER B, GREEN I. Numerical Techniques for computing rotordynamic properties of mechanical gas face seals[J]. Journal of Tribology, 2002, 124(4):755-761.
[10] LIU Xiangfeng, XU Chen, HUANG Weifeng. Analysis and parametric design of the dynamics of a dry gas seal for extreme operating conditions using a semi-analytical method[J]. Journal of Tsinghua University Science and Technology, 2014, 54(2):223-228, 234.
[11] 范晨麟, 李孝伟. 基于本征正交分解方法的多段翼型流动分析[J]. 上海大学学报, 2012(1):76-82. FAN Chenlin, LI Xiaowei. Proper orthogonal decomposition method for flow analysis of multi-element airfoil[J]. Journal of Shanghai University, 2012(1):76-82.
[12] 章李刚. 大型复杂建筑结构风致效应及等效静力风荷载研究[D]. 杭州:浙江大学, 2013. ZHANG Ligang. Investigation on wind-induced effects and equivalent static wind loads of large and complex structures[D]. Hangzhou:Zhejiang University, 2013.
[13] 胡和敏. 火电空冷系统跨尺度热质传递的数值模拟研究[D]. 北京:华北电力大学, 2014. HU Hemin. Cross scale simulation on heat and mass transfer of air-cooled condenser in power plant[D]. Beijing:North China Electric Power University, 2014.
[14] ZHANG H, MILLER B, LANDERS R. Nonlinear modeling of mechanical gas face seal systems using proper orthogonal decomposition[J]. Journal of Tribology, 2006:128, 817-827.
[15] 张国渊,赵伟刚,闫秀天,等. 基于POD降阶模型的非接触端面密封动态监测原理及仿真[J]. 航空学报, 2012, 33(2):354-361. ZHANG Guoyuan, ZHAO Weigang, YAN Xiutian, et al. Principle and simulation for real-time monitoring of the non-contact face seal based on POD model[J]. Acta Aeronautica et Astronautica Sinica, 2012, 33(2):354-361.
[16] 王瑞文. 流体力学及海洋数值模拟基于POD技术的降维方法研究[D]. 北京:首都师范大学, 2007. WANG Ruiwen. Reduce-order method of fluid mechanics and ocean simulation based on POD technique[D]. Beijing:Capital Normal University, 2007.
[17] 杜娟. 流体力学方程基于POD方法的降维数值解法研究[D]. 北京:北京交通大学, 2011. DU Juan. Reduced order modeling based on POD for fluid dynamic equations[D]. Beijing:Beijing Jiaotong University, 2011.
