基于直接数值模拟的微尺度旋转圆柱流动机理研究-2026增刊2

  • 陈运泽 ,
  • 伏宇 ,
  • 毛佳宁 ,
  • 吕元伟 ,
  • 张镜洋 ,
  • 谭钧文 ,
  • 周雷 ,
  • 王钧莹
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  • 1. 南京航空航天大学航天学院
    2. 清华大学
    3. 中国航发四川燃气涡轮研究院
    4. 南京航空航天大学
    5. 上海卫星工程研究所
    6. 中国航空发动机集团四川燃气涡轮研究院

收稿日期: 2026-06-01

  修回日期: 2026-06-22

  网络出版日期: 2026-06-23

基金资助

国家自然科学基金;中国航发集团产学研合作项目基金

Direct Numerical Simulation of Flow Mechanisms of Rotated Micro-Scale Cylinder

  • CHEN Yun-Ze ,
  • FU Yu ,
  • MAO Jia-Ning ,
  • MAO Jia-Ning Yuan-Wei ,
  • ZHANG Jing-Yang ,
  • TAN Jun-Wen ,
  • ZHOU Lei ,
  • WANG Jun-Ying
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Received date: 2026-06-01

  Revised date: 2026-06-22

  Online published: 2026-06-23

Supported by

National Natural Science Foundation of China;Industry-University-Research Fund of Aero Engine Corporation of China

摘要

以微小尺寸和超高转速旋转圆柱表面剪切流动为研究对象,采用直接数值模拟方法(DNS),开展微尺度旋转圆柱剪切流动流动机理研究,建立了体现大曲率大速度梯度效应微尺度旋转圆柱剪切流动模型和数值分析方法。揭示了微尺度旋转圆柱剪切流动物理机制,在高速微尺度旋转圆柱诱导的大曲率大速度梯度效应下,微尺度旋转圆柱附近剪切流动处于弱稳定状态;切向速度和温度沿圆柱壁面单调递减,而湍动能则沿径向呈现先增大后减小特征,峰值位于R/R0=2.5处;近壁区(R/R0=0.04)的速度和温度响应幅值较大,而远场区域(R/R0=0.38)的响应幅值较小且存在滞后性,微尺度旋转圆柱诱导不稳定性主要位于近壁剪切层区域,证实了速度、湍动能和温度沿径向方向衰减模式存在显著差异。建立了微尺度旋转圆柱剪切流动下能量及动量的输运与转速、圆柱半径的关联关系。速度、温度和湍动能与转速和圆柱半径呈近似线性正相关。前者通过粘性耗散热和对流换热相干作用决定了能量及动量的输运强度,后者的增加通过强化粘性耗散和改变曲率效应来强化能量及动量输运,可为微尺度旋转机械设备的设计提供理论基础和技术支撑。

本文引用格式

陈运泽 , 伏宇 , 毛佳宁 , 吕元伟 , 张镜洋 , 谭钧文 , 周雷 , 王钧莹 . 基于直接数值模拟的微尺度旋转圆柱流动机理研究-2026增刊2[J]. 航空学报, 0 : 1 -0 . DOI: 10.7527/S1000-6893.2026.33994

Abstract

Taking on the shear flow around a micro-sized rotating cylinder with ultra-high rotational speed as the subject, this study had employed Direct Numerical Simulation (DNS) to investigate the flow mechanism of microscale rotating cylinder shear flow. A microscale rotating cylinder shear flow model and numerical analysis method are established, reflecting the effects of large curvature and high velocity gradients. The physical mechanism of microscale rotating cylinder shear flow is revealed. Under the influence of high-speed microscale rotating cylinders inducing large curvature and high velocity gradients, the shear flow near the microscale rotating cylinder is in a weakly stable state. The tangential velocity and temperature decrease monotonically along the cylinder wall, while the turbulent kinetic energy first increases and then decreases radially, with a peak located at R/R0=2.5. In the near-wall region (R/R0=0.04), the amplitude of velocity and temperature responses is large, whereas in the far-field region (R/R0=0.38), the response amplitude is small and exhibits hysteresis. The instability induced by the microscale rotating cylinder is mainly located in the near-wall shear layer region, confirming significant differences in the attenuation patterns of velocity, turbulent kinetic energy, and temperature along the radial direction. The correlation between energy and momentum transport, rotational speed, and cylinder radius under microscale rotating cylinder shear flow is established. Velocity, temperature, and turbulent kinetic energy are approximately linearly positively correlated with rotational speed and cylinder radius. The former determines the intensity of energy and momentum transport through the coherent effects of viscous dissipation heat and convective heat transfer, while the latter enhances energy and momentum transport by strengthening viscous dissipation and altering curvature effects. This provides theoretical basis and technical support for the design of microscale rotating machinery equipment.

参考文献

[1] 张卓, 李志强, 王立鹏. 微机电系统旋转机械设备发展现状与关键技术[J]. 中国机械工程, 2019, 30(15): 1827-1838.
ZHANG Z, LI Z Q, WANG L P. Development status and key technologies of MEMS rotating machinery[J]. China Mechanical Engineering, 2019, 30(15): 1827-1838 (in Chinese).
[2] 刘泽文, 赵立波, 周兆英. 微电子机械系统在航空航天领域的应用进展[J]. 航空学报, 2020, 41(1): 523002.
LIU Z W, ZHAO L B, ZHOU Z Y. Application progress of MEMS in aerospace[J]. Acta Aeronautica et Astronautica Sinica, 2020, 41(1): 523002 (in Chinese).
[3] EPSTEIN A H. Millimeter-scale, micro-electro-mechanical systems gas turbine en-gines[J]. Journal of Engineering for Gas Tur-bines and Power, 2018, 126(2): 205-226.
[4] 王福军, 赵学端, 张成博. 微型涡轮机高速转轴流动特性研究[J]. 工程热物理学报, 2021, 42(8): 2008-2015.
WANG F J, ZHAO X D, ZHANG C B. Flow characteristics of high-speed rotating shaft in micro turbine[J]. Journal of Engineering Thermophysics, 2021, 42(8): 2008-2015 (in Chinese).
[5] WANG C, GAO Y, NGUYEN N T. Microflu-idics for micro-electro-mechanical systems: A review[J]. Annual Review of Fluid Mechanics, 2024, 56: 213-240.
[6] KARNIADAKIS G E, BESKOK A, ALURU N. Microflows and nanoflows: Fundamentals and simulation[M]. New York: Springer, 2015: 1-61.
[7] WILLIAMSON C H K, GOVARDHAN R. A brief review of recent results in vortex-induced vibrations[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2008, 96(6-7): 713-735.
[8] MASSARO D, KARP M, JANSSON N, et al. Direct numerical simulation of the turbulent flow around a Flettner rotor[J]. Scientific Re-ports, 2024, 14: 3004.
[9] LI Y, LI Z, BAO Y, et al. Experimental and numerical investigation on the wake flow and surface pressure characteristics of a rotating cylinder[J]. Physics of Fluids, 2023, 35(7): 074114.
[10] LI Z, BAO Y, LI Y, et al. Numerical investiga-tion of flow around a rotating circular cylinder near a wall[J]. Ocean Engineering, 2022, 245: 110560.
[11] NGUYEN N N, WANG W C, DUC N D, et al. Numerical investigation of unsteady flow over tandem permeable elliptic and rigid circular cylinders[J]. International Journal of Heat and Fluid Flow, 2025, 110: 110048.
[12] 张卓, 李志强, 王立鹏. 微机电系统旋转机械设备发展现状与关键技术[J]. 中国机械工程, 2019, 30(15): 1827-1838.
ZHANG Z, LI Z Q, WANG L P. Development status and key technologies of MEMS rotating machinery[J]. China Mechanical Engineering, 2019, 30(15): 1827-1838 (in Chinese).
[13] 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.
[14] 李天昱. 非等温Taylor-Couette系统内冷水对流传热特性研究[D]. 北京:中国科学院大学, 2024.
[15] 林锋辉. 粘弹性流体Taylor-Couette流动的直接数值模拟研究[D]. 合肥:中国科学技术大学, 2023.
[16] Gopan N, Alam M. Symmetry-breaking bifur-cations and hysteresis in compressible Taylor-Couette flow of a dense gas: a molecular dy-namics study[J]. Journal of Fluid Mechanics, 2020, 9(2):53-87.
[17] EPSTEIN A H. Millimeter-scale, micro-electro-mechanical systems gas turbine en-gines[J]. Journal of Engineering for Gas Tur-bines and Power, 2018, 126(2): 205-226.
[18] 王福军, 赵学端, 张成博. 微型涡轮机高速转轴流动特性研究[J]. 工程热物理学报, 2021, 42(8): 2008-2015.
WANG F J, ZHAO X D, ZHANG C B. Flow characteristics of high-speed rotating shaft in micro turbine[J]. Journal of Engineering Thermophysics, 2021, 42(8): 2008-2015 (in Chinese).
[19] Paghdar D, Jogee S, Anupindi K. Large-eddy simulation of counter-rotating Taylor–Couette flow: The effects of angular velocity and eccen-tricity[J]. International Journal of Heat and Fluid Flow, 2020, 81(1):108514.
[20] GROSSMANN S, LOHSE D, SUN C. High-Reynolds number Taylor-Couette turbulence[J]. Annual Review of Fluid Mechanics, 2016, 48: 53-80.
[21] Yuan-wei Lyu, Pu Huang, Jing-yang Zhang, et al. Analysis of flow field driven by self-acting pressure difference in taylor-couette flow with micro-scale and hyper-rotate-speed[J]. Aero-space Science and Technology, 2026, 168, 110746.
[22] 李旺. 动压气体轴承周向变截面间隙内流动特性研究[D]. 南京:南京航空航天大学, 2019.
[23] 陈海生, 刘峰, 王建华. 基于Boussinesq近似的旋转流动数值模拟[J]. 水动力学研究与进展 A辑, 2020, 35(4): 458-467.
CHEN H S, LIU F, WANG J H. Numerical simulation of rotating flow based on Boussinesq approximation[J]. Chinese Journal of Hydrodynamics, 2020, 35(4): 458-467 (in Chinese).
[24] Cheng W, Pullin D I, Samtaney R. Large-eddy simulation and modeling of Taylor-Couette flow with an outer stationary cylinder[J]. Jour-nal of Fluid Mechanics, 2020, 890, A17.
[25] 张兆顺, 崔桂香, 许春晓. 直接数值模拟方法及其在湍流研究中的应用[J]. 力学进展, 2019, 49(1): 201911.
ZHANG Z S, CUI G X, XU C X. Direct numerical simulation method and its applications in turbulence research[J]. Advances in Mechanics, 2019, 49(1): 201911 (in Chinese).
[26] EGGELS J G M, UNGER F, WEISS M H, et al. Fully developed turbulent pipe flow: A comparison between DNS and experiment[J]. Journal of Fluid Mechanics, 2023, 268: 175-209.
[27] 李正良, 张志强, 王之栖. 旋转圆柱绕流的直接数值模拟研究[J]. 计算力学学报, 2022, 39(3): 301-309.
LI Z L, ZHANG Z Q, WANG Z Q. Direct numerical simulation of rotating cylinder flow[J]. Chinese Journal of Computational Mechanics, 2022, 39(3): 301-309 (in Chinese).
[28] Dong S. Direct numerical simulation of turbu-lent Taylor-Couette flow[J]. Journal of Fluid Mechanics, 2007, 587(1):373-393.
[29] Yuan-wei Lyu, Pu Huang, Jing-yang Zhang, et al. Aerodynamic characteristic of limited mi-cro-scale Taylor–Couette flow at hyper-rotate speed[J]. Physics of Fluids, 2024, 36 (12):122002.
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