A Two-Control-Volume Bulk Flow Model for Rotordynamic Characteristics of Pocket Damper Seals

GUI Jiaqiang; LI Zhigang; LI Jun

doi:10.7652/xjtuxb202407003

您当前的位置：

首页 >

文章列表页 >

A Two-Control-Volume Bulk Flow Model for Rotordynamic Characteristics of Pocket Damper Seals

更新时间：2025-07-28

- A Two-Control-Volume Bulk Flow Model for Rotordynamic Characteristics of Pocket Damper Seals
- Vol. 58, Issue 7, Pages: 26-38(2024)
- 作者机构：
  
  西安交通大学叶轮机械研究所,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202407003
  CLC： TK262
- Online First：10 July 2024，
  
  Published：2024
- 稿件说明：
移动端阅览
GUI Jiaqiang, LI Zhigang, LI Jun. A Two-Control-Volume Bulk Flow Model for Rotordynamic Characteristics of Pocket Damper Seals[J]. 2024, 58(7): 26-38.
DOI：

GUI Jiaqiang, LI Zhigang, LI Jun. A Two-Control-Volume Bulk Flow Model for Rotordynamic Characteristics of Pocket Damper Seals[J]. 2024, 58(7): 26-38. DOI： 10.7652/xjtuxb202407003.

摘要

为快速准确预测袋型阻尼密封泄漏特性和动力学特性

针对传统单控制体Bulk Flow模型预测精度低、无法预测交叉动力系数的问题

提出了袋型阻尼密封双控制体Bulk Flow模型和动力学特性数值预测方法

并开发了计算程序。首先

依据边界层理论

将袋型密封腔室划分为两个控制体

推导了控制体的连续性、周向动量和能量方程

引入Swamee-Jain和Takahashi方程

计算流体-壁面间和流体-流体间的周向黏性摩擦力; 其次

采用牛顿-拉夫森算法和摄动分析法分别求解0阶和1阶控制方程

获得各刚度、阻尼动力特性系数; 然后

通过与袋型阻尼密封泄漏量和动力特性系数的实验值、单控制体Bulk Flow模型和非定常计算流体动力学(CFD)数值结果进行比较

验证了模型和方法的准确性和可靠性; 最后

研究了转子转速(10 000、15 000、20 000 r/min)和预旋比(0.067、0.724、0.997)对袋型阻尼密封动力学特性的影响。结果表明:所发展的模型和方法具有计算速度快、预测精度高(泄漏量预测误差小于6%

动力特性系数预测误差小于38%)的优点; 转子转速和进口预旋的增大均会导致袋型阻尼密封有效阻尼显著减小

穿越频率显著增大

易诱发轴系失稳。

Abstract

To predict the leakage and rotordynamic characteristics of pocket damper seals(PDS)quickly and accurately

a two-control-volume(CV)Bulk Flow model and numerical method are proposed for the prediction of the rotordynamic characteristics of pocket damper seals

and the calculation program is also developed. This new model is expected to solve the problems of the traditional one-control-volume Bulk Flow model

such as the low accuracy and the inability to predict cross-coupled coefficients. Firstly

based on the boundary layer theory

each pocket cavity of the pocket damper seal is divided into two control volumes

and the continuity equations

circumferential momentum equations

and energy equations are derived for the two control volumes. Swamee-Jain and Takahashi formulas are introduced to calculate the circumferential friction between the fluid and the wall and between the fluid and the fluid. Secondly

Newton-Raphson method and perturbation analysis method are used to solve the zeroth-order and first-order governing equations

and the stiffness and damping rotordynamic characteristic coefficients are obtained. Then

the accuracy and reliability of the proposed model and method are verified by comparing with the experimental data of leakage and dynamic characteristic coefficients of pocket damper seals

along with the numeric results of the one-control-volume Bulk Flow model and the unsteady CFD(Computational Fluid Dynamics). Finally

the influences of rotor speed(10 000

15 000

and 20 000 r/min)and inlet preswirl ratio(0.067

0.724

and 0.997)on the dynamic characteristics of pocket damper seals are calculated and analyzed. Results show that the model and method proposed have the advantages of fast calculation speed and high prediction accuracy(leakage prediction error less than 6%

and dynamic coefficients prediction error less than 38%); The increasing rotor speed and inlet preswirl result in a significant decrease in the effective damping and an obvious increase in the crossover frequency

increasing the serious risk of rotor instability.

关键词

Keywords

references

CHILDS D W. Turbomachinery rotordynamics: phenomena, modeling, and analysis [M]. New York, USA: Wiley, 1993.

VANCE J M, SCHULTZ R R. A new damper seal for turbomachinery [C]//ASME 1993 Design Technical Conferences. New York, USA: ASME, 1993: 139-148.

LI Zhigang, LI Jun, FENG Zhenping, et al. Numerical investigations on the leakage flow characteristics of pocket damper seals [C]//ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition. New York, USA: ASME, 2011: 701-712.

李志刚, 李军, 丰镇平. 高转速袋型阻尼密封泄漏的特性 [J]. 航空动力学报, 2012, 27(12): 2828-2835.

LI Zhigang, LI Jun, FENG Zhenping. Leakage flow of pocket damper seal at high rotational speed [J]. Journal of Aerospace Power, 2012, 27(12): 2828-2835.

LI Zhigang, LI Jun, YAN Xin, et al. Numerical investigations on the leakage flow characteristics of pocket damper labyrinth seals [J]. Proceedings of the Institution of Mechanical Engineers: Part A Journal of Power and Energy, 2012, 226(7): 932-948.

LI Zhigang, LI Jun, FENG Zhenping. Numerical investigations on the leakage and rotordynamic characteristics of pocket damper seals: part Ⅰ effects of pressure ratio, rotational speed, and inlet preswirl [J]. Journal of Engineering for Gas Turbines and Power, 2015, 137(3): 032503.

LI Zhigang, LI Jun, FENG Zhenping. Numerical investigations on the leakage and rotordynamic characteristics of pocket damper seals: part Ⅱ effects of partition wall type, partition wall number, and cavity depth [J]. Journal of Engineering for Gas Turbines and Power, 2015, 137(3): 032504.

LI Zhigang, LI Jun, FENG Zhenping. Numerical comparison of rotordynamic characteristics for a fully partitioned pocket damper seal and a labyrinth seal with high positive and negative inlet preswirl [J]. Journal of Engineering for Gas Turbines and Power, 2016, 138(4): 042505.

IWATSUBO T. Evaluation of instability forces of labyrinth seals in turbines or compressors[EB/OL].(1980-01-01)[2023-12-15]. https://ntrs.nasa.gov/citations/19800021214.

CHILDS D W, SCHARRER J K.An Iwatsubo-based solution for labyrinth seals: comparison to experimental results [J]. Journal of Engineering for Gas Turbines and Power, 1986, 108(2): 325-331.

SCHARRER J K. Theory versus experiment for the rotordynamic coefficients of labyrinth gas seals: part Ⅰ a two control volume model [J]. Journal of Vibration, Acoustics, Stress, and Reliability in Design, 1988, 110(3): 270-280.

PICARDO A, CHILDS D W.Rotordynamic coefficients for a tooth-on-stator labyrinth seal at 70 bar supply pressures: measurements versus theory and comparisons to a hole-pattern stator seal [J]. Journal of Engineering for Gas Turbines and Power, 2005, 127(4): 843-855.

CANGIOLI F, PENNACCHI P, VANNINI G, et al. Effect of energy equation in one control-volume bulk-flow model for the prediction of labyrinth seal dynamic coefficients [J]. Mechanical Systems and Signal Processing, 2018, 98: 594-612.

王天昊, 李志刚, 李军. 采用Bulk-Flow模型的直通式迷宫密封转子动力特性研究 [J]. 西安交通大学学报, 2021, 55(5): 25-33.

WANG Tianhao, LI Zhigang, LI Jun. Investigation on the rotordynamic characteristics of straight-through labyrinth seal using bulk-flow model [J]. Journal of Xi'an Jiaotong University, 2021, 55(5): 25-33.

胡乐豪, 邓清华, 刘洲洋, 等. 超临界二氧化碳迷宫密封内摩擦损失数值研究及流动特性分析 [J]. 西安交通大学学报, 2023, 57(3): 68-78.

HU Lehao, DENG Qinghua, LIU Zhouyang, et al. Numerical investigation for windage loss and flow characteristics analysis with supercritical CO2 in labyrinth seal [J]. Journal of Xi'an Jiaotong University, 2023, 57(3): 68-78.

ERTAS B H.Rotordynamic force coefficients of pocket damper seals [D]. College Station: Texas AM University, 2005.

ALFORD J S. Protecting turbomachinery from self-excited rotor whirl [J]. Journal of Engineering for Power, 1965, 87(4): 333-343.

李志刚. 袋型阻尼密封泄漏特性和转子动力特性的研究 [D]. 西安: 西安交通大学, 2013.

李志刚, 李军, 丰镇平. 袋型阻尼密封转子动力特性的多频单向涡动预测模型 [J]. 西安交通大学学报, 2012, 46(5): 13-18.

LI Zhigang, LI Jun, FENG Zhenping. Multiple frequencies One-Dimensional prediction model of rotordynamic characteristics for pocket damper seals [J]. Journal of Xi'an Jiaotong University, 2012, 46(5): 13-18.

SCHLICHTING H. Boundary-layer theory [M]. 7th ed. New York, USA: McGraw-Hill, 1979.

CANGIOLI F, PENNACCHI P, RIBONI G, et al. Sensitivity analysis of the one-control volume bulk-flow model for a 14 teeth-on-stator straight-through labyrinth seal [C]//ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. New York, NY, USA: ASME, 2017: V07AT34A002.

NEOMAHN K. Zur Frage der verwendung von durchblickdichtungen im dampfturbinenbau [J]. Maschinenbautechnik, 1964, 12(4): 188-195.

GUREVICH M I. The theory of jets in an ideal fluid [M]. Oxford, UK: Pergamon Press, 1966.

BELL I H, QUOILIN S, WRONSKI J, et al. CoolProp: an open-source reference-quality thermophysical property library [EB/OL]. [2023-11-20]. https://so1.linfen3.top/scholar?q=Coolprop%3A+An+open-source+reference-quality+thermophysical+property+library.

SCHARRER J K. Theory versus experiment for the rotordynamic coefficients of labyrinth gas seals: part Ⅰ

a two control volume model [J]. Journal of Vibration, Acoustics, Stress, and Reliability in Design, 1988, 110(3): 270-280.

TAKAHASHI N, MIURA H, NARITA M, et al. Development of scallop cut type damper seal for centrifugal compressors [J]. Journal of Engineering for Gas Turbines and Power, 2015, 137(3): 032509.

CANGIOLI F, PENNACCHI P, VANNINI G, et al. On the thermodynamic process in the bulk-flow model for the estimation of the dynamic coefficients of labyrinth seals [J]. Journal of Engineering for Gas Turbines and Power, 2018, 140(3): 032502.[28] 晏鑫, 李军, 丰镇平. Bulk Flow方法分析孔型密封转子动力特性的有效性 [J]. 西安交通大学学报, 2009, 43(1): 24-28.

YAN Xin, LI Jun, FENG Zhenping. Validation of two-control-volume bulk flow method for rotordynamic characteristics of hole-pattern seals [J]. Journal of Xi'an Jiaotong University, 2009, 43(1): 24-28.

DELGADO A,SAN ANDRÉS L, YANG Jing, et al. Experimental force coefficients for a fully-partitioned pocket damper seal and comparison to other two seal types [J]. Journal of Engineering for Gas Turbines and Power, 2023, 145(5): 051019.

THIELE J J.Dynamic characterization of fully partitioned damper seals [D]. College Station: Texas AM University, 2019.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Experimental and Numerical Investigations of the Leakage Characteristics of Two-Stage Brush Seal

Investigation on the Leakage and Static Dynamic Characteristics of Rotating Seals at High Eccentricity Ratios

Study on the Thermodynamic Properties in the Anomalous Region of Supercritical Water

Turbulent Kinetic Energy Dissipation Mechanism of Supercritical Carbon Dioxide Leakage Flow in a Scallop Bionic Seal Cavity

Energy Efficiency Optimization of the Cryogenic Air Separation Process for Electronic-Grade Ultra Pure Nitrogen

Related Author

邱波 1

李军 1

冯增国 2

江生科 2

孔祥林 2

李志刚 1

陈尧兴 1

李军 1

Related Institution

Institute of Turbomachinery, Xi'an Jiaotong University

School of Energy and Power Engineering, Xi'an Jiaotong University

⁰