气液混合流体动态体积弹性模量理论模型研究

doi:10.3901/JME.2020.04.209

机械工程学报 ›› 2020, Vol. 56 ›› Issue (4): 209-217.doi: 10.3901/JME.2020.04.209

气液混合流体动态体积弹性模量理论模型研究

袁晓明^1,2,3, 王储^1,2, 朱轩^1,2, 张立杰^1,2

1. 燕山大学河北省重型机械流体动力传输与控制重点实验室秦皇岛 066004;
2. 先进锻压成形技术与科学教育部重点实验室(燕山大学) 秦皇岛 066004;
3. 浙江大学流体动力与机电系统国家重点实验室杭州 310027

收稿日期:2019-03-01 修回日期:2019-10-01 出版日期:2020-02-20 发布日期:2020-04-23
通讯作者: 张立杰(通信作者),男,1969年出生,博士,教授,博士研究生导师。主要研究方向为液压测控技术、机器人技术和电磁发射器设计与优化。E-mail:ljzhang@ysu.edu.cn
作者简介:袁晓明,男,1984年出生,博士,讲师,硕士研究生导师。主要研究方向为流体传动与控制、电磁发射器设计与优化。E-mail:xiaomingbingbing@163.com
基金资助:
国家重点研发计划重点专项（2018YFB2001201）、国家自然科学基金（51805468）、河北省自然科学基金青年科学基金（E2017203129）、浙江大学流体动力与机电系统国家重点实验室开放基金课题（GZKF-201820）和燕山大学基础研究专项青年课题（16LGB001）资助项目。

Research on Theoretical Model of Dynamic Bulk Modulus of Elasticity of Gas-liquid Mixed Fluid

YUAN Xiaoming^1,2,3, WANG Chu^1,2, ZHU Xuan^1,2, ZHANG Lijie^1,2

1. Hebei Key Laboratory of Heavy Machinery Fluid Power Transmission and Control, Yanshan University, Qinhuangdao 066004;
2. Key Laboratory of Advanced Forging&Stamping Technology and Science(Yanshan University), Ministry of Education of China, Qinhuangdao 066004;
3. State Key Laboratory of Fluid Power&Mechatronic Systems, Zhejiang University, Hangzhou 310027

Received:2019-03-01 Revised:2019-10-01 Online:2020-02-20 Published:2020-04-23

摘要/Abstract

摘要： 体积弹性模量是气液混合流体的基本属性之一，但现有模型与流体压缩和膨胀过程中动态体积弹性模量的匹配度仍有待进一步提高。采用集中参数法，以完全空化模型为基础，结合改进的Henry定律和气体多变过程方程，确定气液混合流体动态体积弹性模量理论模型（Model1）。计算结果表明，由于压缩和膨胀过程中混合流体中自由气体的含量不同，动态体积弹性模量出现较为明显的“迟滞”现象，在相同压力下，压缩过程的计算结果均小于膨胀过程。由参数影响分析可知，不论是压缩过程还是膨胀过程，压力变化周期相同时，初始含气率越高，相同压力下的动态体积弹性模量越小；初始含气率相同且压力高于空气分离压时，压力变化周期越长，相同压力下的动态体积弹性模量越大，且当压力超过空气分离压的时间足够长时，气液混合流体所含空气完全溶解，体积弹性模量基本保持不变。将试验结果与Model1模型、三种稳态模型和另一种动态模型（Sakama模型）进行对比，在压缩与膨胀过程中Mode1模型与试验数据间的拟合优度分别为0.976 3和0.985 9，Sakama模型与试验数据间的拟合优度为0.969 7和0.952 1，说明Mode1模型与试验结果更接近，提高动态体积弹性模量预测的准确性。本项研究可为气液混合流体动态体积弹性模量的准确计算提供理论依据。

关键词: 气液混合流体, 动态体积弹性模量, 理论模型, 含气率, 压力

Abstract: The bulk modulus is one of the basic properties of gas-liquid mixed fluid. But the matching between the existing model and the real dynamic bulk modulus of the fluid during compression and decompression still needs to be further improved. Based on the lumped parameter method and the full cavitation model, combined with the improved Henry's law and the gas polytropic process equation，a theoretical model of dynamic bulk modulus of gas-liquid mixed fluid (Model1) is derived. The calculation results show that due to the different content of free gas in the mixed fluid during compression and expansion, the dynamic bulk modulus exhibits a more obvious “hysteresis” phenomenon. Under the same pressure, the calculation results of the compression process are smaller than that of the decompression process. From the parameter influence analysis, it can be seen that when the pressure change cycle is the same，the initial gas content rate is higher, and the dynamic bulk modulus at the same pressure is smaller whether in compression or decompression process. When the initial gas content is the same and the fluid pressure is higher than the air separation pressure, the pressure change cycle is longer, the dynamic bulk modulus at the same pressure is larger. When the pressure exceeds the air separation pressure for a long enough time, the air contained in the oil will be completely dissolved, and the bulk modulus will remain substantially unchanged. By comparing the experimental results and the calculation results of Model 1, three steady-state models and another dynamic model(Sakama model), it can be seen that, in the process of compression and decompression, the goodness of fit between the calculated results of Mode1 and the experimental results is 0.976 3 and 0.985 9 respectively and the goodness of fit between the Sakama model and experimental data is 0.969 7 and 0.952 1, which show that the calculation results of Model 1 are closer to the experimental results and improve the accuracy of dynamic bulk modulus. This study can provide theoretical basis for accurate calculation of dynamic bulk modulus of gas-liquid mixed fluid.

Key words: gas-liquid mixed fluid, dynamic bulk modulus, theoretical model, air content, pressure

中图分类号:

TG156

袁晓明, 王储, 朱轩, 张立杰. 气液混合流体动态体积弹性模量理论模型研究[J]. 机械工程学报, 2020, 56(4): 209-217.

YUAN Xiaoming, WANG Chu, ZHU Xuan, ZHANG Lijie. Research on Theoretical Model of Dynamic Bulk Modulus of Elasticity of Gas-liquid Mixed Fluid[J]. Journal of Mechanical Engineering, 2020, 56(4): 209-217.

参考文献

[1] 姜荣敏,张明,蒋锐. 含气率对缓冲液囊轴向刚度特性影响的研究[J]. 机械设计与制造,2018,1(2):47-50. JIANG Rongmin,ZHNAG Ming,JIANG Rui. The research of air content affecting the axial stiffness characteristics of fluid bag[J]. Machinery Design & Manufacture,2018,1(2):47-50.
[2] 李流远. 油液含气量对液压系统的影响[J]. 液压与气动,2001,1(1):27-28. LI Liuyuan. Effect of oil gas content on hydraulic system[J]. Chinese Hydraulics & Pneumatics,2001,1(1):27-28.
[3] 周俊杰,苑士华,荆崇波,等. 油液内气泡半径和含气量模型研究[J]. 机械工程学报,2018,54(10):195-201. ZHOU Junjie,YUAN Shihua,JING Chongbo,et al. Research on the model of bubble radius and gas content in hydraulic oils[J]. Journal of Mechanical Engineering,2018,54(10):195-201.
[4] KIM G W,WANG K W. On-line monitoring of fluid effective bulk modulus using piezoelectric transducer impedance[C]//ASME International Mechanical Engineering Congress and Exposition,Washington. Mechanics of Solids and Structures,2007:129-136.
[5] 冯斌,龚国芳,杨华勇. 含气油液弹性模量提高方法与试[J]. 农业机械学报,2010,41(3):219-222. FENG Bin,GONG Guofang,YANG Huayong. Method and experiment for increasing effective fluid bulk modulus in hydraulic systems[J]. Transactions of the Chinese Society for Agricultural Machinery,2010,41(3):219-222.
[6] WYLIE M,STREETER L. Fluid transient[M]. Michigan:Michigan University Press,1978.
[7] NYKANEN J. Comparison of different fluid models[C]//Bath Workshop on Power Transmission and Motion Control. Bath:University of Bath,2000:101-110.
[8] 唐东林,吴凡,贾品元,等. 含气油液有效体积弹性模量理论模型研究[J]. 中国机械工程,2017,28(3):300-304,333. TANG Donglin,WU Fan,JIA Pinyuan,et al. Research on theoretical model for effective bulk modulus of air-liquid mixtures of hydraulic oil[J]. China Mechanical Engineering,2017,28(3):300-304,333.
[9] SCHMITZ K,MURRENHOFF H. Modelling of the influence of entrained and dissolved air on the performance of an oil-hydraulic capacity[J]. International Journal of Fluid Power,2015,16(3):179-187.
[10] JIAN R,BURTON R. Bulk modulus of air content oil in a hydraulic cylinder[C]//ASME 2006 International Mechanical Engineering Congress and Exposition,Chicago. 2006:259-269.
[11] SINGHAL A K,ATHAVALE M M,LI H Y,et al. Mathematical basis and validation of the full cavitation model[J]. Journal of Fluids Engineering,2002,124(3):617-624.
[12] ZHOU J,VACCA A,MANHARTSGRUBER B. A novel approach for theprediction of dynamic features of air release and absorption in hydraulic oils[J]. Journal of Fluids Engineering,2013,135(9):1-8.
[13] SAKAMA S,TANAKA Y,GOTO H. Mathematical model for bulk modulus of hydraulic oil containing air bubbles[J]. Mechanical Engineering Journal,2015,2(6):1-10.
[14] MARKATOS N C,SINGHAL A K. Numerical analysis of one-dimensional,two-phase flow in a vertical cylindrical passage[J]. Advances in Engineering Software,1982,4(3):99-106.
[15] KIM S,MURRENHOFF H. Measurement of effective bulk modulus for hydraulic oil at low pressure[J]. Journal of Fluids Engineering,2012,134(2):1-10.
[16] KUNDU P,COHEN I,DOWLING D. Fluid mechanics[M]. Amsterdam,Netherlands:Elsevier Incorporation,2004.

气液混合流体动态体积弹性模量理论模型研究

Research on Theoretical Model of Dynamic Bulk Modulus of Elasticity of Gas-liquid Mixed Fluid

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	杨斌, 胡超杰, 轩福贞, 罗承强, 项延训, 肖飚. 基于超声导波的压力容器健康监测I：波传导行为及损伤定位[J]. 机械工程学报, 2020, 56(4): 1-10.
[2]	赵长财, 袁荣娟, 郝海滨, 胡丽梅, 贾向东. 高压气瓶辊模拉拔力的理论计算与数值模拟[J]. 机械工程学报, 2020, 56(4): 49-56.
[3]	赵海林, 陈国定, 苏华. 考虑粗糙渗流效应的指尖密封总泄漏性能分析[J]. 机械工程学报, 2020, 56(3): 152-161.
[4]	李仁年, 李瑾, 权辉, 葸鹏, 傅百恒. 叶栅内压力脉动特性及其对流致噪声的影响[J]. 机械工程学报, 2019, 55(8): 225-232.
[5]	熊璐, 韩伟, 余卓平, 李昊诚. 考虑关键非线性特征的集成式电子液压制动系统主缸液压力精确控制[J]. 机械工程学报, 2019, 55(24): 117-126.
[6]	黄文强, 占旺龙, 黄平. 外界压力对粗糙表面摩擦与接触的影响研究[J]. 机械工程学报, 2019, 55(21): 81-87.
[7]	张艳芹, 倪世钱, 张志全, 孔鹏睿, 冯雅楠, 孔祥滨. 变黏度静压滑动轴承高速时油膜动态润滑特性[J]. 机械工程学报, 2019, 55(21): 108-117.
[8]	刘德民, 邓祥平, 赵永智, 段昌德, 严肃. 大型混流式模型机组动应力及压力脉动测试研究[J]. 机械工程学报, 2019, 55(19): 9-18.
[9]	毛军, 柳润东, 郗艳红, 郭迪龙, 赵萌. 高速铁路腔室耗能型风屏障气动冲击力的动模型试验研究[J]. 机械工程学报, 2019, 55(18): 78-85.
[10]	杨友胜, 唐顺军, 王晓东, 冯辅周. 基于TRIZ理论的深海水液压电磁阀[J]. 机械工程学报, 2019, 55(16): 205-212.
[11]	罗毅辉, 彭倩倩, 朱宇超, 王广顺, 吴德志, 朱睿, 谢瑜, 孙道恒. 喷印柔性压力传感器试验研究[J]. 机械工程学报, 2019, 55(11): 90-97.
[12]	张文武, 余志毅, 李泳江, 程学良. 叶片式气液混输泵全流道内流场特性分析[J]. 机械工程学报, 2019, 55(10): 168-174.
[13]	闫清东, 宋泽民, 魏巍, 谭路, 刘博深. 液力变矩器导轮叶片表面压力测量与分析[J]. 机械工程学报, 2019, 55(10): 115-121.
[14]	袁晓明, 王储, 赵士宜, 张立杰. 气液混合流体的体积弹性模量理论模型研究[J]. 机械工程学报, 2019, 55(10): 226-232.
[15]	刘伟, 徐永超, 陈一哲, 苑世剑, 胡蓝, 张志超, 郭立杰. 薄壁曲面整体构件流体压力成形起皱机理与控制[J]. 机械工程学报, 2018, 54(9): 37-44.