Comments on turbulence theory by Qian and by Edwards and McComb

R. V. R. Pandya

Comments on turbulence theory by Qian and by Edwards and McComb

Fluid Dynamics 2015-07-07 v1

Authors: R. V. R. Pandya

Abstract

We reexamine Liouville equation based turbulence theories proposed by Qian {[}Phys. Fluids \textbf{26}, 2098 (1983){]} and Edwards and McComb {[}J. Phys. A: Math. Gen. \textbf{2}, 157 (1969){]}, which are compatible with Kolmogorov spectrum. These theories obtained identical equation for spectral density $q(k)$ and different results for damping coefficient. Qian proposed variational approach and Edwards and McComb proposed maximal entropy principle to obtain equation for the damping coefficient. We show that assumptions used in these theories to obtain damping coefficient correspond to unphysical conditions.

Keywords

turbulence theory Liouville equation Kolmogorov spectrum spectral density damping coefficient

Cite

@article{arxiv.1507.01124,
  title  = {Comments on turbulence theory by Qian and by Edwards and McComb},
  author = {R. V. R. Pandya},
  journal= {arXiv preprint arXiv:1507.01124},
  year   = {2015}
}

Comments

7 pages. Submitted to arXiv.org on July 4, 2015

Comments on turbulence theory by Qian and by Edwards and McComb

Abstract

Keywords

Cite

Comments

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