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- W2091277169 abstract "The energy spectrum equation due to the modified zero-fourth-cumulant approximation is solved numerically for large Reynolds numbers R =10 4 ∼10 6 and dealt with analytically. The energy spectrum is found to satisfy different similarity laws in three wavenumber ranges. In the energy-containing range k = O (1), it satisfies an inviscid similarity law and takes the k -5/3 intertial form at higher wavenumbers. In the intermediate range k = O ((ν t ) -1/2 ), it takes the k -2 and k -1 forms at lower and higher wavenumbers respectively. In the energy-dissipation range k = O ( ε 1/4 ν -3/4 ), it satisfies Kolmogorov's similarity law and takes the asymptotic form exp (- b k ) for k →∞. The energy, the skewness, the microscale and the microscale Reynolds number are calculated numerically, and their similarity laws are derived analytically." @default.
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- W2091277169 date "1980-11-15" @default.
- W2091277169 modified "2023-09-25" @default.
- W2091277169 title "The Modified Cumulant Expansion For Isotropic Turbulence At Large Reynolds Numbers" @default.
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- W2091277169 doi "https://doi.org/10.1143/jpsj.49.2014" @default.
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