Stability Criteria and Turbulence Paradox Problem For Type II 3D Shears

Y. Charles Li

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arXiv · 1009.5938

Stability Criteria and Turbulence Paradox Problem For Type II 3D Shears

Y. Charles Li

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Abstract

There are two types of 3D shears in channel flows: ($U(y,z),0,0$) and ($U(y),0,W(y)$). Both are important in organizing the phase space structures of the channel flows. Stability criteria of the type I 3D shears were studied in [Li, 2010]. Here we study the stability criteria of the type II 3D shears. We also provide more support to the idea of resolution of a turbulence paradox, introduced in [Li and Lin, 2010], by studying a sequence of type II 3D shears.

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Y. Charles Li. 2010-09-29. Stability Criteria and Turbulence Paradox Problem For Type II 3D Shears. https://arxiv.org/abs/1009.5938

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