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Uniform momentum zones on the smooth and superhydrophobic surfaces in a turbulent boundary layer

湍流边界层中光滑表面和超疏水表面上的均匀动量区

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Abstract

The characteristics and dynamics of the uniform momentum zones (UMZs) on a smooth surface and a superhydrophobic (SHPo) surface in a turbulent boundary layer (TBL) are studied using two-dimensional time-resolved particle image velocimetry (PIV) at Reτ = uτδ/υ= 528 (where uτ is the wall friction velocity, δ is the thickness of the boundary layer, and υ is the kinematic viscosity of water). The turbulent/non-turbulent interface (TNTI) is detected by the local turbulent kinetic energy deficit to remove the region of non-turbulent flow. Then the UMZs are detected from the probability density functions (PDFs) of the instantaneous streamwise velocity in the turbulent region. The characteristics of the UMZs are studied using two classification methods to summarize its development and evolution in the TBL. The effects of the SHPo surface on the characteristics of the UMZs are investigated by comparison. The instantaneous flow fields are classified according to the number of the UMZs contained. The connection between the height of the TNTI and the number of zones contained in the flow fields is summarized. The influence of UMZs on turbulence dynamics is investigated. The behaviors of ejections/sweeps and their contributions to Reynolds stress are discussed categorically using quadrant analysis as well as conditional average. The corresponding differences on the SHPo surface are discussed.

摘要

在Reτ=528的湍流边界层中使用时间分辨的二维PIV研究了光滑表面和超疏水表面上的等动量区. 通过局部动能亏损率检测了湍流/非湍流界面, 随后在瞬时速度场中通过流向速度的概率密度函数检测了湍流区域中的等动量区. 使用了两种分类方法分析了等动量区在湍流边界层中的发展和演化, 对比研究了超疏水表面对等动量区特性的影响. 根据瞬时快照中包含的等动量区的数量对流场进行分类, 研究了湍流/非湍流界面的高度与流场中包含的等动量区数量之间的联系, 对比了不同类别流场的统计量, 讨论了等动量区在不同法向高度对于喷射/扫掠事件的贡献, 并讨论了结果在超疏水表面上的差异.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11972251, 11902218, 12172242, 12272265, 12202310), Chinesisch-Deutsche Zentrum für Wissenschaftsförderung (Grant No. GZ1575), China Postdoctoral Science Foundation (Grant No. 2022M712357), and the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11802195).

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Authors and Affiliations

  1. School of Mechanical Engineering, Tian** University, Tian**, 300354, China

    Yu-Fei Wang  (王宇飞), Yi-Jun Huang  (黄逸军) & **-Hao Zhang  (张津浩)

  2. National Demonstration Center for Experimental Mechanics Education, Taiyuan University of Technology, Taiyuan, 030024, China

    Hai-** Tian  (田海**)

  3. Tian** Key Laboratory of Modern Engineering Mechanics, Tian**, 300354, China

    Nan Jiang  (姜楠)

Authors
  1. Yu-Fei Wang  (王宇飞)
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  2. Yi-Jun Huang  (黄逸军)
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  3. **-Hao Zhang  (张津浩)
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  4. Hai-** Tian  (田海**)
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Contributions

Yu-Fei Wang designed the research. Yu-Fei Wang, Yi-Jun Huang and **-Hao Zhang performed the experiment. Yu-Fei Wang analyzed the experimental data. Yi-Jun Huang and **-Hao Zhang helped organize the manuscript. Hai-** Tian revised and edited the final version. Nan Jiang provided financial support and experimental equipment for this research.

Corresponding author

Correspondence to Nan Jiang  (姜楠).

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Wang, YF., Huang, YJ., Zhang, JH. et al. Uniform momentum zones on the smooth and superhydrophobic surfaces in a turbulent boundary layer. Acta Mech. Sin. 39, 322467 (2023). https://doi.org/10.1007/s10409-023-22467-x

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