Comments on turbulence theory by Qian and by Edwards and McComb
Abstract
We reexamine Liouville equation based turbulence theories proposed by Qian [Phys. Fluids 26, 2098 (1983)] and Edwards and McComb [J. Phys. A: Math. Gen. 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.
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