Re-understanding the law-of-the-wall for wall-bounded turbulence based on in-depth investigation of DNS data

Cao, Bochao; Xu, Hanlin

doi:10.1007/s10409-018-0766-z

Cited by 9 publications

(13 citation statements)

References 12 publications

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“…之后人们针对零压梯度半无限大平板、直圆管和槽道湍流等一些比较简单的流动构型, 应用平壁律进行了大量研究 [7][8][9] . [10][11][12][13][14][15][16][17][18][19] . 其中Xu等人 [10][11][12] 基于对方、矩形环管DNS数据的深度分析, 给出了对湍流边界层再认知和有关复杂几何流动壁面律构建的新见解.…”

Section: 为复杂的物理机制unclassified

“…其中Xu等人 [10][11][12] 基于对方、矩形环管DNS数据的深度分析, 给出了对湍流边界层再认知和有关复杂几何流动壁面律构建的新见解. 根据Cao和Xu [12] 的做法, 首先对于传统湍流边界层根据其速度尺度的分布特征, 即时均局部摩擦速度, 进行了更加科学的分类. 将Prandtl [1] 一般意义下的边界层根据其时均摩擦速度的分布分解为三类 [20] , 其定义见下节论述.…”

Section: 为复杂的物理机制unclassified

“…表征类-2湍流边界层内层的壁面律函数表达式 [12] . 而本文采用了Schlatter, Örlü所给出的零压梯度平板湍流DNS数据 [13][14][15][16][17] , 对平板流湍流边界内层进行了深入剖析.…”

Section: 而后通过引入广义抑制和加强函数构造了能够统一unclassified

“…本文采用Schlatter和Örlü [13][14][15][16][17] (2) 边界层速度, 如时-空间平均摩擦速度u 和时均局 [21] ) 越来越强的加强或抑制效应. 借鉴Xu等人 [10][11][12] 对方、矩形环管的类-2边界层分析, 其基本思想是通过中性…”

Section: 对较高动量的流体被下扫进入黏性底层导致壁面切unclassified

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Reynolds-number independent inner-layer analytical formulation for type-A turbulent boundary layer based on DNS data

Fu¹,

Wang²,

Cao³

et al. 2019

Sci. Sin.-Phys. Mech. Astron.

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With these studies, the properties of the general damping and enhancing functions are well understood, which provides a solid physical and mathematical foundation for developing the complete analytical formulations for law-of-the-wall, which are expected to include the inner layer, the transition layer, the semi-log linear layer and the wake layer. type-A turbulent boundary layer, semi-finite zero-pressure gradient flat-plate flow, law-of-the-wall, inner-layer law, direct numerical simulation

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Section: 为复杂的物理机制unclassified

Section: 而后通过引入广义抑制和加强函数构造了能够统一unclassified

Section: 对较高动量的流体被下扫进入黏性底层导致壁面切unclassified

See 2 more Smart Citations

Reynolds-number independent inner-layer analytical formulation for type-A turbulent boundary layer based on DNS data

Fu¹,

Wang²,

Cao³

et al. 2019

Sci. Sin.-Phys. Mech. Astron.

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“…As DNS studies extended to more wall-bounded turbulences, the growing DNS data permitted to investigate TBL's using different scales. Within the context, Cao & Xu [13] first distinguished the time-averaged local frictional velocity u from the time-space-averaged, or ensemble-averaged frictional velocity u , and pointed out the necessity to classify generic TBLs into three types, namely Type-A, -B and -C TBL, according to the distribution patterns of u . Consequently, the innerlayer law formulation was derived for Type-B TBL and was validated by the DNS-guided near-wall integration of governing equation.…”

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Law-of-the-wall analytical formulations for Type-A turbulent boundary layers

Wang

Cao

et al. 2020

J Hydrodyn

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In-depth analyses of existing direct numerical simulations (DNS) data from various sources supported a logical and important classification of generic turbulent boundary layers (TBL), namely Type-A, -B and -C TBL, based on distribution patterns of time-averaged wall-shear stress. Among these types, Type-A TBL and its related law, as represented by the DNS data of turbulence on a zero-pressure-gradient semi-infinite flat-plate, was investigated in terms of analytical formulations of velocity independent on Reynolds ( Re ) number. With reference to the analysis from von Karman in developing the conventional law-of-the-wall, the current study first physically distinguished the time-averaged local scale used by von Karman from the ensemble-averaged scale defined in the paper, and then derived the governing equations with the Re -independency under the ensemble-averaged scales. Based on indicator function (IDF) and TBL thickness, the sublayer partitions were rigorously defined. The analytical formulations for entire TBL, namely the complete law-of-the-wall, were established, including the formula in inner, buffer, semi-logarithmic (semi-log) and wake layer. The researches were featured by introducing the general damping and enhancing functions (GDF and GEF) and applying these functions to both linear and logarithmic coordinates. These law formulations were proved uniform and consistent in time-averaged local and ensemble-averaged scales, which were validated by the existing DNS and experiment data. Based on the similarity of relevant properly-scaled governing equations, the law formulations were logically reasoned being applicable to the temperature in Type-A thermal TBL. The findings advance the current understandings of the conventional TBL theory and its well-known foundations of law-of-the-wall.

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Liutex (vortex) core definition and automatic identification for turbulence vortex structures

Cai

Liu

2019

J Hydrodyn

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Re-understanding the law-of-the-wall for wall-bounded turbulence based on in-depth investigation of DNS data

Cited by 9 publications

References 12 publications

Reynolds-number independent inner-layer analytical formulation for type-A turbulent boundary layer based on DNS data

Reynolds-number independent inner-layer analytical formulation for type-A turbulent boundary layer based on DNS data

Law-of-the-wall analytical formulations for Type-A turbulent boundary layers

Liutex (vortex) core definition and automatic identification for turbulence vortex structures

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