湍流边界层高阶矩的自标度广义汤森-佩里常数

IF 2.5 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS
Xibo He, Hongyou Liu, Xiaojing Zheng
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引用次数: 0

摘要

受 Meneveau 和 Marusic 发人深省的论文[J. Fluid Mech. 719, R1 (2013)]的启发,研究了高阶统计矩的自缩放广义汤森-佩里常数的通用表达式。测量结果偏离了之前基于附壁涡模型的高斯预测,因为具有亚高斯统计量的附壁非附壁涡掩盖了附壁涡的高斯行为。利用广义高斯分布函数和湍流强度的对数定律,推导出了自缩放广义汤森-佩里常数的通用表达式,与涡的类型无关。此外,通过雷诺数 Reτ 跨度从 O(103) 到 O(106) 的边界层和大气表层的数据,进一步描述了自缩放广义汤森-佩里常数的形状参数随雷诺数的渐近表达。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Self-scaling generalized Townsend-Perry constants for high-order moments in turbulent boundary layers

Self-scaling generalized Townsend-Perry constants for high-order moments in turbulent boundary layers
Inspired by the thought-provoking paper of Meneveau and Marusic [J. Fluid Mech. 719, R1 (2013)], the universal expression of the self-scaling generalized Townsend-Perry constants for the high-order statistical moments is investigated. The measured results deviate from the previous attached-eddy-model–based Gaussian prediction because the wall-non-attached eddies with sub-Gaussian statistics mask the Gaussian behavior of the wall-attached eddies. Leveraging the generalized Gaussian distribution function and the logarithmic law for turbulence intensity, the universal expression of the self-scaling generalized Townsend-Perry constants, regardless of the eddy type, is derived. Moreover, asymptotic expression of the shape parameter in self-scaling generalized Townsend-Perry constants with Reynolds number is further characterized by data in boundary layers and atmospheric surface layers with Reynolds number Reτ spanning over O(103) to O(106).
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来源期刊
Physical Review Fluids
Physical Review Fluids Chemical Engineering-Fluid Flow and Transfer Processes
CiteScore
5.10
自引率
11.10%
发文量
488
期刊介绍: Physical Review Fluids is APS’s newest online-only journal dedicated to publishing innovative research that will significantly advance the fundamental understanding of fluid dynamics. Physical Review Fluids expands the scope of the APS journals to include additional areas of fluid dynamics research, complements the existing Physical Review collection, and maintains the same quality and reputation that authors and subscribers expect from APS. The journal is published with the endorsement of the APS Division of Fluid Dynamics.
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