用象限分裂法检测湍流边界层猝发的空间相位平均模态

DETECTION OF SPATIAL PHASE-AVERAGED MODES OF TURBULENT BOUNDARY LAYER BURSTS USING THE QUADRANT SPLITTING METHOD

  • 摘要: 湍流边界层近壁区相干结构的定量识别是揭示壁湍流物理机制与评价减阻技术的前提。象限分裂法是检测相干结构的经典方法之一,其检测效果受门限设定影响显著。传统门限值以 H=1.0\sim 4.5 \mathrmH=1-4.5 为经验范围,取值范围太宽,对经验依赖性较强,客观性较差,限制了壁湍流相干结构研究的客观性与物理解释。本文基于壁湍流脉动速度空间自相关函数,发展了一套客观确定象限分裂门限值 H 的方法,无需依赖经验,能真实反映壁湍流相干结构的统计规律。本文以光滑壁面、各向同性超疏水壁面和各向异性超疏水壁面三种平板湍流边界层高时间分辨率粒子图像测速技术(Time–Resolved Particle Image Velocimetry, TR–PIV)实验数据为基础,详细阐释了空间自相关分析、特征尺度与门限值-事件平均尺度的关系,提出“特征尺度–门限匹配判据”。实验结果验证该法具有客观性好、准确率高、误判/漏判可控等优点,在不同壁面类型下反演的最优门限值合理,能良好识别第二、第四象限猝发事件、加深理解壁湍流相干结构变化,为壁湍流减阻机制的定量比较与优化设计提供了基础工具与可靠依据。

     

    Abstract: Quantitative identification of coherent structures in the near-wall region of a turbulent boundary layer is a prerequisite for revealing the physical mechanisms of wall turbulence and evaluating drag reduction techniques. The quadrant splitting method is a classical approach for detecting coherent structures, yet its detection performance is significantly influenced by the choice of the threshold. Traditional threshold values are often set empirically within the range of H=1.0\sim 4.5 , which is too broad, heavily relies on experience, and lacks objectivity, thereby limiting the objectivity and physical interpretation of studies on coherent structures in wall turbulence. In this paper, an objective method for determining the threshold H in quadrant splitting is developed based on the spatial autocorrelation function of fluctuating velocity in wall turbulence. This method does not depend on empirical experience and can faithfully reflect the statistical laws of coherent structures in wall turbulence. Using Time-Resolved Particle Image Velocimetry (TR–PIV) experimental data from three types of turbulent boundary layers over smooth, isotropic superhydrophobic, and anisotropic superhydrophobic flat plates, the relationships among spatial autocorrelation analysis, characteristic scale, and the threshold–event average scale are elaborated in detail. A “characteristic scale–threshold matching criterion" is proposed. Experimental results validate that the proposed method offers advantages such as high objectivity, high accuracy, and controllable false/missed detections. The optimal thresholds retrieved under different wall conditions are reasonable, enabling effective identification of burst events in the second and fourth quadrants and deepening the understanding of coherent structure variations in wall-bounded turbulence. This work provides a fundamental tool and a reliable basis for the quantitative comparison and optimal design of drag reduction mechanisms in wall-bounded turbulence.

     

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