袋型阻尼密封动力学特性双控制体Bulk Flow模型

桂佳强; 李志刚; 李军

doi:10.7652/xjtuxb202407003

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袋型阻尼密封动力学特性双控制体Bulk Flow模型

—————————————————————— | 更新时间：2025-07-28

- 袋型阻尼密封动力学特性双控制体Bulk Flow模型
- A Two-Control-Volume Bulk Flow Model for Rotordynamic Characteristics of Pocket Damper Seals
- 西安交通大学学报 2024年58卷第7期页码：26-38
- 作者机构：
  
  西安交通大学叶轮机械研究所,西安,710049
- 作者简介：
  
  : 2023-12-08。作者简介: 桂佳强(1998—),男,硕士生
  李志刚(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(52106153)
- 基金信息：
  
  : 2023-12-08。作者简介: 桂佳强(1998—),男,硕士生;李志刚(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(52106153)
- DOI：10.7652/xjtuxb202407003
  中图分类号： TK262
- 网络首发：2024-07-10，
  
  纸质出版：2024
- 稿件说明：
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桂佳强, 李志刚, 李军. 袋型阻尼密封动力学特性双控制体Bulk Flow模型[J]. 西安交通大学学报, 2024,58(7):26-38.

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.
桂佳强, 李志刚, 李军. 袋型阻尼密封动力学特性双控制体Bulk Flow模型[J]. 西安交通大学学报, 2024,58(7):26-38. DOI： 10.7652/xjtuxb202407003.

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

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