Asymptotic descriptions of oblique coherent structures in shear flows

Asymptotic descriptions of oblique coherent structures in shear flows
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剪切流中倾斜相干结构的渐近描述

DOI:
10.1017/jfm.2015.542
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发表时间:
2015
影响因子:
3.7
通讯作者:
P. Hall
P. Hall
中科院分区:
工程技术2区
文献类型:
--
作者:
K. Deguchi;P. Hall

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本文将平面Couette流中的精确相干态推广到斜流计算域,导出了相干态的大雷诺数渐近描述。当区域的倾斜角增大时,状态首先服从涡波相互作用理论,然后发展出一种新的渐近结构。后者的渐近结构的特点是由一个自相似的非线性相互作用本地化的流体层。对于最大尺度的自相似非线性结构,该理论预测了一个逆雷诺数依赖的倾斜模式的倾斜角。这一结果与剪切流中层流-湍流带状模式的数值和实验观察结果是一致的。
Exact coherent states in plane Couette flow are extended to an oblique parallelogram computational domain and the large-Reynolds-number asymptotic descriptions of the states are derived. When the tilt angle of the domain is increased, the states first obey vortex–wave interaction theory and then develop a new asymptotic structure. The latter asymptotic structure is characterized by a self-similar nonlinear interaction localized in the fluid layer. For the largest scale of the self-similar nonlinear structure, the theory predicts an inverse Reynolds number dependence for the tilt angle of the oblique pattern. That result is consistent with the numerical and experimental observations of the laminar–turbulent banded pattern in shear flows.
库埃特流中的下分支平衡:任意剪切流的规范状态的出现
DOI: 10.1017/jfm.2013.254
发表时间: 2013
影响因子: 3.7
作者:
Blackburn H
通讯作者: Blackburn H