普遍平衡理論の実験的検証

概要

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Universal equilibrium theory was experimentally verified in a turbulence field of R_λ=80〜393. The inertial subrange defined as l_i(≒32η)〜l_G extended over more than one order of magnitude in wavenumber for R_λ=393,where η is the Kolmogorov scale and l_G is the scale of the largest locally-isotropic eddy. Structure functions up to the 30th order moments were calculated to derive the relationship between their order and the power law exponents of the inertial subrange. The 3D binomial Cantor set model assuming the intermittency of the fine-scale structure gave the best approximation to the present experimental results. The Kolmogorov constant, α_1,was almost independent of R_λ for R_λ≳150 and its value of about 0.55 was close to the constants given by numerical simulations and field measurements. But α_2 increased with R_λ. Such R_λ dependence of the Kolmogorov constants suggests that the universal equilibrium theory holds for R_λ≳10^3.
社団法人日本機械学会の論文
1997-02-25