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

Y. Charles Li

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

Fluid Dynamics 2010-09-30 v1 Mathematical Physics Analysis of PDEs math.MP Chaotic Dynamics

Authors: Y. Charles Li

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.

Keywords

hydrodynamic instability fluid dynamics

Cite

@article{arxiv.1009.5938,
  title  = {Stability Criteria and Turbulence Paradox Problem For Type II 3D Shears},
  author = {Y. Charles Li},
  journal= {arXiv preprint arXiv:1009.5938},
  year   = {2010}
}

Comments

This is a paper very pleasant to write and read

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