Fractal Characteristics of Scalar Mixing in Free Shear Layer at High Reynolds and Schmidt Numbers

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  • MATSUKAWA,Kazuki
    Dept. of Mechanical and Aerospace Engineering, Tokyo Institute of Technology
  • FUKUSHIMA,Naoya
    Dept. of Mechanical and Aerospace Engineering, Tokyo Institute of Technology
  • SHIMURA,Masayasu
    Dept. of Mechanical and Aerospace Engineering, Tokyo Institute of Technology
  • SHIM,Youngsam
    Dept. of Mechanical and Aerospace Engineering, Tokyo Institute of Technology
  • TANAHASHI,Mamoru
    Dept. of Mechanical and Aerospace Engineering, Tokyo Institute of Technology
  • MIYAUCHI,Toshio
    Dept. of Mechanical and Aerospace Engineering, Tokyo Institute of Technology

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Other Title
  • 高レイノルズ数及び高シュミット数自由せん断流におけるスカラー混合のフラクタル特性(拡散・熱物質輸送(1),一般講演)

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Abstract

Direct numerical simulations (DNSs) of temporally developing mixing layer with non-reactive and reactive scalar transport up to Re_<ω,0>=900 and Sc=30.0 have been conducted to investigate fractal geometry of scalar surfaces in turbulence. Effects of Reynolds number (Re), Schmidt number (Sc) and chemical reaction on scalar mixing are discussed by applying fractal analysis for scalar surfaces. For higher Sc, two fractal dimensions D_1 and D_2 can be defined, while only one fractal dimension D can be defined for lower Sc. The fractal dimension D_1 corresponds to relatively large scales. D_1 gives close agreement with D of lower Sc case in the inertial subrange and is around 2.5. The fractal dimension D_2 corresponds to small scales and shows larger values. D_2 depends on Schmidt number and rises to about 2.8 for Sc=30.0. As for the case with chemical reaction, all fractal dimensions show lower values. In all cases, D, D_1 and D_2 are independent of Reynolds number.

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