Stability criteria and turbulence paradox problem for type II 3D shears

DOI10.1088/1751-8113/45/17/175501zbMATH Open1382.76080arXiv1009.5938OpenAlexW2964219583MaRDI QIDQ2888604

Y. Charles Li

Publication date: 1 June 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1009.5938

zbMATH Keywords

linear instabilityphase-space structuresSommerfeld paradox

Mathematics Subject Classification ID

Shear flows and turbulence (76F10) Parallel shear flows in hydrodynamic stability (76E05)

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