Multiscaling in the Presence of Indeterminacy: Wall-Induced Turbulence
Multiscaling in the Presence of Indeterminacy: Wall-Induced Turbulence
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存在不确定性的多尺度：壁引起的湍流
DOI：
10.1137/040611173
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发表时间：
2005
影响因子：
1.6
通讯作者：
T. Wei
中科院分区：
文献类型：
--
作者：
P. Fife;J. Klewicki;P. McMurtry;T. Wei
本文提供了一个多尺度的分析研究，通过一个渠道，无论是库埃特或压力驱动Poietille型的定常不可压缩湍流。在数学上，本文的两个最新的特点是：（1）分析开始于一个欠定奇异摄动问题，即雷诺平均平均动量平衡方程，（2）它导致存在无限数量的长度尺度。（这两个特征很可能是有联系的，但我们不会追究这种联系。）本文开发了一个可靠的假设的数学性质，当添加到初始欠定问题，结果在几乎完整的层（缩放）结构的平均速度和雷诺应力分布的知识。这个结构反过来提供了关于这些配置文件的许多其他重要信息。的平均速度分布的几乎对数部分的可能性给予特别注意。在这个意义上的长度尺度是渐近propor…
This paper provides a multiscale analytical study of steady incompressible turbulent flow through a channel of either Couette or pressure-driven Poiseuille type. Mathematically, the paper’s two most novel features are that (1) the analysis begins with an underdetermined singular perturbation problem, namely the Reynolds averaged mean momentum balance equation, and (2) it leads to the existence of an infinite number of length scales. (These two features are probably linked, but the linkage will not be pursued.) The paper develops a credible assumption of a mathematical nature which, when added to the initial underdetermined problem, results in a knowledge of almost the complete layer (scaling) structure of the mean velocity and Reynolds stress profiles. This structure in turn provides a lot of other important information about those profiles. The possibility of almost-logarithmic sections of the mean velocity profile is given special attention. The sense in which the length scales are asymptotically propor...