PDF (13515K)
摘要
为厘清宽间隙半径条件下轴类转静间隙内风阻损失和流动特性的影响机制,基于数值方法,系统分析了间隙半径比、转子半径、转子转速等关键参数对风阻损失系数的影响规律,揭示了间隙半径比在1.3范围内的流动机理,提出了最佳间隙半径比的预测方法,构建了宽间隙半径比范围的风阻损失系数模型。结果表明:间隙半径比对风阻损失系数的影响机制主要包括壁面剪切作用以及流体内部的耗散效应。当间隙半径比较小时,流体受到的剪切作用占主导;当间隙半径比较大时,流体内部的耗散效应为主要因素。随间隙半径比增加,风阻损失系数先减小后增大,存在使得风阻损失系数最小的最佳间隙半径比。随着转子半径增大,最佳间隙半径比逐渐减小,当转子半径由20 mm增大至60 mm时,最佳间隙半径比由0.425降低至0.167。基于数值模拟结果,分别提出了轴类转静间隙的最佳间隙半径比预测方法及宽间隙半径比范围的风阻损失系数模型,其最大预测偏差分别为5.58%和11.81%。研究结果为宽间隙半径比条件下轴类转静间隙内的风阻损失研究以及间隙结构优化提供了技术支撑。
Abstract
To clarify the mechanisms affecting windage loss and flow characteristics in shaft-type rotor-stator gaps over a wide range of gap-radius ratios,the effects of key parameters,including the gap-radius ratio,rotor radius,and rotor rotational speed,on the windage loss coefficient are systematically analyzed using numerical methods.The flow mechanism within a gap-radius ratio of 1.3 is revealed,a method for predicting the optimal gap-radius ratio is proposed,and a windage loss coefficient model covering a wide range of gap-radius ratios is developed.The results show that the effects of the gap-radius ratio on the windage loss coefficient mainly include wall shear and fluid dissipation.At small gap-radius ratios,the shear effect is dominant,whereas at large gap-radius ratios,fluid dissipation becomes the primary factor.As the gap-radius ratio increases,the windage loss coefficient first decreases and then increases,and an optimal gap-radius ratio that minimizes the windage loss coefficient exists.As the rotor radius increases,the optimal gap-radius ratio gradually decreases.When the rotor radius increases from 20 mm to 60 mm,the optimal gap-radius ratio decreases from 0.425 to 0.167.Based on the numerical simulation results,a method for predicting the optimal gap-radius ratio of shaft-type rotor-stator gaps and a windage loss coefficient model covering a wide range of gap-radius ratios are proposed,with maximum prediction deviations of 5.58% and 11.81%,respectively.The results provide technical support for windage loss studies and gap structure optimization in shaft-type rotor-stator gaps over a wide range of gap-radius ratios.
关键词
Key words
[Author(id=1304471332754785218, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=null, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1304471332813505479, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, authorId=1304471332754785218, language=EN, stringName=Bin LIU, firstName=Bin, middleName=null, lastName=LIU, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=School of Energy and Power Engineering,Xi’an Jiaotong University ,Xi’an 710049,China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1304471332859642826, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, authorId=1304471332754785218, language=CN, stringName=刘滨, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=西安交通大学 能源与动力工程学院 ,710049,西安, bio={"content":"刘滨(2001—),男,硕士生
"}, bioImg=null, bioContent=刘滨(2001—),男,硕士生
, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1304471332683482044, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, xref=null, ext=[AuthorCompanyExt(id=1304471332696064958, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, companyId=1304471332683482044, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=School of Energy and Power Engineering,Xi’an Jiaotong University ,Xi’an 710049,China), AuthorCompanyExt(id=1304471332708647871, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, companyId=1304471332683482044, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=西安交通大学 能源与动力工程学院 ,710049,西安)])]), Author(id=1304471332905780173, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, orderNo=1, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=null, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1304471332964500434, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, authorId=1304471332905780173, language=EN, stringName=Zhuobin ZHAO, firstName=Zhuobin, middleName=null, lastName=ZHAO, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=School of Energy and Power Engineering,Xi’an Jiaotong University ,Xi’an 710049,China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1304471333010637779, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, authorId=1304471332905780173, language=CN, stringName=赵卓斌, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=西安交通大学 能源与动力工程学院 ,710049,西安, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1304471332683482044, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, xref=null, ext=[AuthorCompanyExt(id=1304471332696064958, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, companyId=1304471332683482044, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=School of Energy and Power Engineering,Xi’an Jiaotong University ,Xi’an 710049,China), AuthorCompanyExt(id=1304471332708647871, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, companyId=1304471332683482044, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=西安交通大学 能源与动力工程学院 ,710049,西安)])]), Author(id=1304471333056775127, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, orderNo=2, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=null, emailSecond=null, emailThird=null, correspondingAuthor=1, authorType=1, ext={EN=AuthorExt(id=1304471333115495386, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, authorId=1304471333056775127, language=EN, stringName=Qinghua DENG, firstName=Qinghua, middleName=null, lastName=DENG, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=School of Energy and Power Engineering,Xi’an Jiaotong University ,Xi’an 710049,China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1304471333161632733, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, authorId=1304471333056775127, language=CN, stringName=邓清华, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=西安交通大学 能源与动力工程学院 ,710049,西安, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1304471332683482044, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, xref=null, ext=[AuthorCompanyExt(id=1304471332696064958, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, companyId=1304471332683482044, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=School of Energy and Power Engineering,Xi’an Jiaotong University ,Xi’an 710049,China), AuthorCompanyExt(id=1304471332708647871, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, companyId=1304471332683482044, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=西安交通大学 能源与动力工程学院 ,710049,西安)])]), Author(id=1304471333211964385, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, orderNo=3, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=null, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1304471333270684646, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, authorId=1304471333211964385, language=EN, stringName=Jun LI, firstName=Jun, middleName=null, lastName=LI, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=School of Energy and Power Engineering,Xi’an Jiaotong University ,Xi’an 710049,China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1304471333459428331, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, authorId=1304471333211964385, language=CN, stringName=李军, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=西安交通大学 能源与动力工程学院 ,710049,西安, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1304471332683482044, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, xref=null, ext=[AuthorCompanyExt(id=1304471332696064958, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, companyId=1304471332683482044, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=School of Energy and Power Engineering,Xi’an Jiaotong University ,Xi’an 710049,China), AuthorCompanyExt(id=1304471332708647871, tenantId=1045748351789510663, journalId=1280834627259416595, articleId=1304471331928507277, companyId=1304471332683482044, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=西安交通大学 能源与动力工程学院 ,710049,西安)])])]
刘滨,赵卓斌,邓清华,李军.
旋转机械轴类间隙内风阻损失及流动特性研究[J].
西安交通大学学报, 2026, 60(9): 165-176 DOI:10.7652/xjtuxb202609016
| [1] |
Taylor G I. Stability of a viscous liquid contained between two rotating cylinders[J]. Proceedings of the Royal Society of London:Series A Containing Papers of A Mathematical and Physical Character, 1923,102(718):541-542.
|
| [2] |
Conboy T,Wright S,Pasch J,et al. Performance characteristics of an operating supercritical CO2 Brayton cycle[J]. Journal of Engineering for Gas Turbines and Power, 2012,134(11):111703.
|
| [3] |
梁腾和,黄宏立,马乐,等. 涡轮机械转子在CO2工质中风摩损耗的数值分析[J]. 厦门大学学报(自然科学版), 2020,59(4):547-552.
|
| [4] |
Liang Tenghe,Huang Hongli,Ma Le,et al. Numerical analysis of windage loss of turbomachinery rotor in CO2[J]. Journal of Xiamen University (Natural Science), 2020,59(4):547-552.
|
| [5] |
Zhao Zhizhou,Song Wenwu,Jin Yongxin,et al. Effect of rotational speed variation on the flow characteristics in the rotor—stator system cavity[J]. Applied Sciences, 2021,11(22):11000.
|
| [6] |
邓清华,胡乐豪,赵奕萌,等. 轴类间隙内摩擦损失模型验证及流动特性分析[J]. 西安交通大学学报, 2022,56(5):54-63.
|
| [7] |
Deng Qinghua,Hu Lehao,Zhao Yimeng,et al. Windage loss model verification and flow characteristic analysis in shaft—type gap[J]. Journal of Xi’an Jiaotong University, 2022,56(5):54-63.
|
| [8] |
胡乐豪. 超紧凑动力装置内转静间隙风阻损失机理与预测模型研究[D].西安:西安交通大学,2024.
|
| [9] |
Bilgen E,Boulos R. Functional dependence of torque coefficient of coaxial cylinders on gap width and Reynolds numbers[J]. Journal of Fluid Engineering, 1973,95(1):122-126.
|
| [10] |
Saari J. Thermal analysis of high—speed induction machines[D].Helsinki:Helsinki University of Technology, 1998.
|
| [11] |
Barcilon A,Brindley J,Lessen M,et al. Marginal instability in Taylor—Couette flows at a very high Taylor number[J]. Journal of Fluid Mechanics, 1979,94(3):453-463.
|
| [12] |
Liu Mingda,Sixel W,Ding Hao,et al. Investigation of rotor structure influence on the windage loss and efficiency of FSPM machine[C]//2018 IEEE Energy Conversion Congress and Exposition (ECCE).Piscataway,NJ,USA:IEEE,2018:6499-6505.
|
| [13] |
Wei Caobing,Xu Yang,Zhang Kai,et al. Research on windage losses of smooth rotor supported by active magnetic bearings in a vacuum chamber[J]. Vacuum, 2019,159:76-81.
|
| [14] |
Chen Buze,Guo Chaohong,Ji Yongsheng,et al. Study on windage loss characteristics of supercritical CO2 Taylor—Couette—Poiseuille flows[J]. Thermal Science and Engineering Progress, 2024,51:102611.
|
| [15] |
Mamonov V N,Miskiv N B,Nazarov A D,et al. Effect of ribbing of the internal rotating cylinder in the Couette—Taylor system on the value of rotational resistance moment[J]. Thermophysics and Aeromechanics, 2023,30(4):637-647.
|
| [16] |
Hu Wulong,Yang Yi,Zuo Siyuan,et al. Numerical investigation of Taylor—Couette flow in a grooved configuration[J]. Physics of Fluids, 2025,37(3):035207.
|
| [17] |
Akonur A,Lueptow R M . Three—dimensional velocity field for wavy Taylor—Couette flow[J]. Physics of Fluids, 2003,15(4):947-960.
|
| [18] |
Dou Huashu,Khoo B C,Yeo K S. Energy loss distribution in the plane Couette flow and the Taylor—Couette flow between concentric rotating cylinders[J]. International Journal of Thermal Sciences, 2007,46(3):262-275.
|
| [19] |
Ostilla—Mónico R,Verzicco R,Grossmann S,et al. The near—wall region of highly turbulent Taylor—Couette flow[J]. Journal of Fluid Mechanics, 2015,788:95-117.
|
| [20] |
Feldmann D,Borrero—Echeverry D,Burin M J,et al. Routes to turbulence in Taylor—Couette flow[J]. Philosophical Transactions of the Royal Society:A Mathematical,Physical and Engineering Sciences, 2023,381(2246):20220114.
|
| [21] |
Adebayo D,Al—Ameri J,Tyukin I,et al. Linear stability analysis of the flow between rotating cylinders of wide gap[J]. European Journal of Mechanics—B/Fluids, 2018,72:567-575.
|
| [22] |
Zhu Bihai,Ji Zengqi,Lou Zhengkun,et al. Torque scaling in small—gap Taylor—Couette flow with smooth or grooved wall[J]. Physical Review E, 2018,97(3):033110.
|
| [23] |
Razzak M A,Khoo B C,Lua K B. Numerical study on wide gap Taylor Couette flow with flow transition[J]. Physics of Fluids, 2019,31(11):113606.
|
| [24] |
Hu Lehao,Deng Qinghua,Liu Zhouyang,et al. Effects of surface roughness on windage loss and flow characteristics in shaft—type gap with critical CO2[J]. Applied Sciences, 2022,12(24):12631.
|
| [25] |
Zhang Yuhan,Xu Rui,Song Yuchen,et al. Numerical simulation of turbulent Taylor—Couette flow with high Taylor number and large radius ratio in high—speed canned motor pump internals[J]. Physics of Fluids, 2024,36(10):105123.
|
| [26] |
Ikhlaq M,Ullah S,Smith D J B,et al. Estimation of the windage loss and heat transfer characteristics inside the finite length of electrical machines’airgap based on CFD and MLA[J]. Thermal Science and Engineering Progress, 2025,64:103832.
|
| [27] |
Wendt F. Turbulente Strömungen zwischen zwei rotierenden konaxialen Zylindern[J]. Ingenieur—Archiv, 1933,4(6):577-595.
|
| [28] |
Celik I B,Ghia U,Roache P J,et al. Procedure for estimation and reporting of uncertainty due to discretization in CFD applications[J]. Journal of Fluids Engineering, 2008,130(7):078001.
|
基金资助
国家重点研发计划资助项目(2023YFB4102203)
国家自然科学基金联合基金重点支持项目(U20A20303)