钱学森、爱德华兹和McComb对turbulence理论的评论
Comments on turbulence theory by Qian and by Edwards and McComb
摘要：
本文重新研究了由Qian {[} Phys. Fluids \textbf{26}，2098（1983）{]}和Edwards和McComb {[} J.Phys.A：Math. Gen. \textbf{2}，157（1969）{]}提出的基于Liouville方程的湍流理论，它们与Kolmogorov谱是相容的。这些理论得到了谱密度$q(k)$的相同方程和阻尼系数的不同结果。利用变分原理和最大熵原理，得到了阻尼系数的表达式。我们表明，在这些理论中使用的假设，以获得阻尼系数对应于非物理条件。
英文摘要：
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.
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