基于湍流模型的S-CO2干气密封流场与稳态性能分析

doi:10.11949/0438-1157.20210219

摘要/Abstract

摘要：

为探究湍流效应对S-CO₂干气密封性能的影响规律，以螺旋槽干气密封为研究对象，引用考虑离心惯性力效应的湍流Reynolds方程，选择Ng-Pan湍流系数表达式，采用物性软件REFPROP对CO₂真实物性进行计算。之后，根据普适能量方程，通过引入包含湍流效应、离心惯性力效应的平均速度，建立了可压缩流体简化能量方程。通过对湍流Reynolds方程与简化能量方程进行耦合求解，分析讨论了不同工况参数与平均膜厚下湍流效应对密封性能的影响。研究表明：湍流效应使得气膜流场内压力与温度分布发生显著变化，流场计算时不可忽略；在不同进口压力、进口温度下，湍流下的开启力和泄漏率显示出与层流一致的变化趋势；在不同平均膜厚下，考虑湍流效应后的开启力呈现出与层流不同的变化规律，而泄漏率表现出与层流相同的变化趋势；在不同进口压力、进口温度、平均膜厚下，湍流下的开启力和泄漏率均比层流下的低，且在两种流态下的这种差异随着进口压力、进口温度、平均膜厚的增大而逐渐增大；在不同转速下，开启力和泄漏率在湍流下分别表现出与层流不同的变化趋势。这些结果为进一步研究湍流效应对S-CO₂干气密封的影响提供了支撑。

关键词: 超临界二氧化碳, 干气密封, 湍流效应, 离心惯性力效应, 真实气体效应, 阻塞流

Abstract:

In order to explore the influence of turbulence effect on the performance of S-CO₂ dry gas seal, the spiral groove dry gas seal was taken as the research object. The Reynolds equation considering centrifugal inertia force effect was cited,the Ng-Pan turbulence coefficient expression was selected,and the real physical properties of carbon dioxide were calculated by using software REFPROP. Then, according to the universal energy equation, the simplified energy equation of the compressible fluid was established by introducing the average velocity including the turbulence effect and the centrifugal inertia force effect. By coupling the Reynolds equation and the simplified energy equation, the influence of the turbulence effect on the sealing performance under different working conditions and average film thickness was analyzed and discussed. The research has shown that the turbulence effect causes significant changes in the pressure and temperature distribution in the gas film flow field, hich cannot be ignored when calculating the flow field. Under different inlet pressure and inlet temperature, the opening force and leakage rate in turbulence show the same trend as that in laminar flow. Under different mean film thicknesses, the opening force after considering the turbulence effect shows a different variation rule from laminar flow, while the leakage rate shows the same variation trend as laminar flow. Under different inlet pressure, inlet temperature and average film thickness, the opening force and leakage rate in turbulent flow are lower than that in laminar flow, and the difference between the two flow states increases with the increase of inlet pressure, inlet temperature and average film thickness. At different rotational speeds, the opening force and leakage rate in turbulent flow show different trends from that in laminar flow. The results provide support for further research on the effect of turbulence on S-CO₂ dry gas seal.

Key words: supercritical carbon dioxide, dry gas seal, turbulence effect, centrifugal inertia force effect, real gas effect, choked flow

中图分类号:

TH 136

严如奇, 丁雪兴, 徐洁, 洪先志, 包鑫. 基于湍流模型的S-CO₂干气密封流场与稳态性能分析[J]. 化工学报, 2021, 72(8): 4292-4303.

Ruqi YAN, Xuexing DING, Jie XU, Xianzhi HONG, Xin BAO. Flow field and steady performance of supercritical carbon dioxide dry gas seal based on turbulence model[J]. CIESC Journal, 2021, 72(8): 4292-4303.

图/表 3

参考文献 40

1	Park J H, Park H S, Kwon J G, et al. Optimization and thermodynamic analysis of supercritical CO₂ Brayton recompression cycle for various small modular reactors[J]. Energy, 2018, 160: 520-535.
2	Walnum H T, Nekså P, Nord L O, et al. Modelling and simulation of CO₂ (carbon dioxide) bottoming cycles for offshore oil and gas installations at design and off-design conditions[J]. Energy, 2013, 59: 513-520.
3	Abram T, Ion S. Generation-Ⅳ nuclear power: a review of the state of the science[J]. Energy Policy, 2008, 36(12): 4323-4330.
4	Turchi C S, Ma Z W, Neises T W, et al. Thermodynamic study of advanced supercritical carbon dioxide power cycles for concentrating solar power systems[J]. Journal of Solar Energy Engineering, 2013, 135(4): 041007.
5	Kimball K J, Clementoni E M. Supercritical carbon dioxide brayton power cycle development overview[C]//Proceedings of ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. Copenhagen, Denmark, 2013: 931-940.
6	Fairuz Z M, Jahn I. The influence of real gas effects on the performance of supercritical CO₂ dry gas seals[J]. Tribology International, 2016, 102: 333-347.
7	Vesovic V, Wakeham W A, Olchowy G A, et al. The transport properties of carbon dioxide[J]. Journal of Physical and Chemical Reference Data, 1990, 19(3): 763-808.
8	Constantinescu V N. On turbulent lubrication[J]. Proceedings of the Institution of Mechanical Engineers, 1959, 173(1): 881-900.
9	Constantinescu V N. Analysis of bearings operating in turbulent regime[J]. Journal of Basic Engineering, 1962, 84(1): 139-151.
10	Constantinescu V N. On gas lubrication in turbulent regime[J]. Journal of Basic Engineering, 1964, 86(3): 475-482.
11	Ng C W. Fluid dynamic foundation of turbulent lubrication theory[J]. A S L E Transactions, 1964, 7(4): 311-321.
12	Ng C W, Pan C H T. A linearized turbulent lubrication theory[J]. Journal of Basic Engineering, 1965, 87(3): 675-682.
13	Elrod H G, Ng C W. A theory for turbulent fluid films and its application to bearings[J]. Journal of Lubrication Technology, 1967, 89(3): 346-362.
14	Hirs G G. A bulk-flow theory for turbulence in lubricant films[J]. Journal of Lubrication Technology, 1973, 95(2): 137-145.
15	Simon F, Frêne J. Analysis for incompressible flow in annular pressure seals[J]. Journal of Tribology, 1992, 114(3): 431-438.
16	Brunetière N, Tournerie B, Frêne J. Influence of fluid flow regime on performances of non-contacting liquid face seals[J]. Journal of Tribology, 2002, 124(3): 515-523.
17	徐林. 湍流工况下泵的环状间隙密封内流场分析及泄漏量计算[J]. 水泵技术, 2002, (2):17-20.
	Xu L. Flow field analysis and leakage calculation in annular clearance seals of pumps under turbulent flow condition[J]. Pump Technology, 2002, (2):17-20.
18	张新敏, 夏延秋, 王世杰, 等. 一种湍流润滑理论分析的工程计算方法[J]. 润滑与密封, 2002, 27(2): 4-6.
	Zhang X M, Xia Y Q, Wang S J, et al. An engineering algorithm for turbulent lubrication theory[J]. Lubrication Engineering, 2002, 27(2): 4-6.
19	Brunetière N. A modified turbulence model for low Reynolds numbers: applications to hydrostatic seals[C]//Proceedings of ASME/STLE 2004 International Joint Tribology Conference. Long Beach, California, USA, 2004: 503-515.
20	刘珂, 刘莹, 刘向锋. 端面流体动压密封中一种新的湍流计算模型[J]. 润滑与密封, 2006, 31(10): 110-112.
	Liu K, Liu Y, Liu X F. New turbulent lubrication model in hydrodynamic face seal[J]. Lubrication Engineering, 2006, 31(10): 110-112.
21	Brunetière N, Tournerie B. Finite element solution of inertia influenced flow in thin fluid films[J]. Journal of Tribology, 2007, 129(4): 876-886.
22	张肖寒, 孟祥铠, 梁杨杨, 等. 基于湍流模型的高速螺旋槽机械密封稳态性能研究[J]. 摩擦学学报, 2020, 40(2): 260-270.
	Zhang X H, Meng X K, Liang Y Y, et al. Steady performance on high speed spiral-grooved mechanical seals based on turbulent model[J]. Tribology, 2020, 40(2): 260-270.
23	Thatte A, Zheng X Q. Hydrodynamics and sonic flow transition in dry gas seals[C]//Proceedings of ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. Düsseldorf, Germany, 2014.
24	许恒杰, 宋鹏云, 毛文元, 等. 层流状态下高压高转速二氧化碳干气密封的惯性效应分析[J]. 化工学报, 2018, 69(10): 4311-4323.
	Xu H J, Song P Y, Mao W Y, et al. Analysis on inertia effect of carbon dioxide dry gas seal at high speed and pressure under laminar condition[J]. CIESC Journal, 2018, 69(10): 4311-4323.
25	沈伟, 彭旭东, 江锦波, 等. 高速超临界二氧化碳干气密封实际效应影响分析[J]. 化工学报, 2019, 70(7): 2645-2659.
	Shen W, Peng X D, Jiang J B, et al. Analysis on real effect of supercritical carbon dioxide dry gas seal at high speed[J]. CIESC Journal, 2019, 70(7): 2645-2659.
26	Du Q W, Zhang D. Research on the performance of supercritical CO₂ dry gas seal with different deep spiral groove[J]. Journal of Thermal Science, 2019, 28(3): 547-558.
27	Xu H J, Song P Y, Mao W Y, et al. The performance of spiral groove dry gas seal under choked flow condition considering the real gas effect[J]. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2020, 234(4): 554-566.
28	严如奇, 洪先志, 包鑫, 等. 超临界二氧化碳干气密封相态分布规律与密封性能研究[J]. 化工学报, 2020, 71(8): 3681-3690.
	Yan R Q, Hong X Z, Bao X, et al. Phase-distribution regularity and sealing performance of supercritical carbon dioxide dry gas seal[J]. CIESC Journal, 2020, 71(8): 3681-3690.
29	沈伟. 高参数干气密封的惯性与湍流效应影响分析与型槽设计[D]. 杭州: 浙江工业大学, 2019.
	Shen W. Surface groove design and inertia effect and turbulent effect analysis of high parameter dry gas seal[D]. Hangzhou: Zhejiang University of Technology, 2019.
30	江锦波, 滕黎明, 孟祥铠, 等. 基于多变量摄动的超临界CO₂干气密封动态特性 [J]. 化工学报, 2021, 72(4): 2190-2202.
	Jiang J B, Teng L M Meng X K, et al. Dynamic characteristics of supercritical CO₂ dry gas seal based on multi variables perturbation [J]. CIESC Journal, 2021, 72(4): 2190-2202.
31	Armin L, Andreas F, Benjamin H. Development and testing of dry gas seals for turbomachinery in multiphase CO₂ applications [C]// 3rd European supercritical CO2 Conference. Paris, France, 2019:1-11.
32	Taylor C M, Dowson D. Turbulent lubrication theory—application to design[J]. Journal of Lubrication Technology, 1974, 96(1): 36-46.
33	张兆顺, 崔桂香, 许春晓. 湍流理论与模拟[M]. 2版. 北京: 清华大学出版社, 2017.
	Zhang Z S, Cui G X, Xu C X. Theory and Modeling of Turbulence[M]. 2nd ed. Beijing: Tsinghua University Press, 2017.
34	傅德薰, 马延文, 李新亮. 可压缩湍流直接数值模拟[M]. 北京: 科学出版社, 2010.
	Fu D X, Ma Y W, Li X L. Direct Numerical Simulation of Compressible Turbulence [M]. Beijing: Science Press, 2010.
35	Du Q W, Gao K K, Zhang D, et al. Effects of grooved ring rotation and working fluid on the performance of dry gas seal[J]. International Journal of Heat and Mass Transfer, 2018, 126: 1323-1332.
36	Span R, Wagner W. A new equation of state for carbon dioxide covering the fluid region from the triple-point temperature to 1100 K at pressures up to 800 MPa[J]. Journal of Physical and Chemical Reference Data, 1996, 25(6): 1509-1596.
37	Fenghour A, Wakeham W A, Vesovic V. The viscosity of carbon dioxide[J]. Journal of Physical and Chemical Reference Data, 1998, 27(1): 31-44.
38	潘锦珊, 单鹏, 刘火星. 气体动力学基础[M]. 北京: 国防工业出版社, 2012.
	Pan J S, Shan P, Liu H X. Fundamentals of Gasdynamics[M]. Beijing: National Defense Industry Press, 2012.
39	Thomas S, Brunetiere N, Toumerie B. Numerical modeling of high pressure gas face seals [J]. Journal of Tribology-Transactions of the ASME, 2006,128: 396-405.
40	Gabriel R P. Fundamentals of spiral groove noncontacting face seals [J]. Lubrication Engineering, 1994, 50(3): 215-224.

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基于湍流模型的S-CO₂干气密封流场与稳态性能分析

Flow field and steady performance of supercritical carbon dioxide dry gas seal based on turbulence model

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