乱流微細構造と高シュミット数スカラー混合のフラクタル特性(乱流基礎(4),一般講演)

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  • Fine Scale Structure and Fractal Geometry of Scalar Mixing at High Schmidt Numbers in Turbulence

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Direct numerical simulations (DNS) of temporally developing turbulent mixing layer with scalar transport have been conducted to investigate the fine scale structure and the fractal geometry of scalar surfaces in turbulence. To investigate Schmidt number (S_C) effects on the turbulent scalar mixing, DNSs of turbulent scalar transport up to S_C=30.0 have been conducted for moderate Reynolds number. For high S_C, two fractal dimensions can be defined. The first fractal can be observed in relatively large scales. The dimension of the first fractal coincides with that of moderate S_C number case in the inertial subrange and is around 2.5. The second fractal dimension can be defined in small scales and shows larger values (about 2.8), which denotes self-similarity of scalar surfaces smaller than the Kolmogorov length. The inner cutoff of the second fractal reaches to about 10 times Batchelor length scale for high S_C.

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