B235 一様等方性乱流における 1 点・ 2 点速度分布

概要

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This is the third report of my works on the derivation of the velocity distributions of homogeneous turbulence, using the cross-independence closure hypothesis and the equations of one and two-point velocitiy distributions. In the first report, the hypothesis was applied to the equation of 1-point velocity distribution and it was shown that there exists a self-similar solution representing a normal velocity distribution of decaying turbulence. In the second report, the physical basis of the hypothesis was disussed and it was shown that the notion of cross-independence is basically equivalent to that of Kolmogorov's local equilibrium hypothesis. Then, the hypothesis was applied to the equation of 2-point velocity distribution, but owing to the mathematical complexity of the resulting equation, no concrete solution has been derived. In this report, the equation of 2-point velocity distribution is transformed into those of the velocity-sum and velocity-difference distributions. It is shown that there exist the same type of self-similar solutions for them, each representing normal velocity distributions as that for the one-point velocity distribution. The physical significance of such abundance of normality of the distributions is discussed.
日本流体力学会の論文
2001-07-31