Evaluation of Two-Component Fluid Mixing Pattern by Multifractal Analysis

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  • Inoue Yoshiro
    Division of Chemical Engineering, Graduate School of Engineering Science, Osaka University
  • Shiba Takako
    Division of Chemical Engineering, Graduate School of Engineering Science, Osaka University
  • Ono Masashi
    Division of Chemical Engineering, Graduate School of Engineering Science, Osaka University
  • Hirata Yushi
    Division of Chemical Engineering, Graduate School of Engineering Science, Osaka University

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  • マルチフラクタル解析による２成分流体混合パターンの評価
  • マルチフラクタル カイセキ ニ ヨル 2 セイブン リュウタイ コンゴウ パターン ノ ヒョウカ

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Abstract

A new method to evaluate the mixing pattern of two fluids is proposed making use of multifractal analysis. The geometrical characteristics of mixing pattern are evaluated with two fractal dimensions: quasi-local fractal dimension q and quasi-global fractal dimension f(q). The relation between the two factors is expressed as a spectrum: q vs. f(q). The rigorous multifractal analysis contains the limiting operation to let cell size approach zero. In the present method, however, size of cell remains finite. As a result, it becomes easy to extract geometric characteristics in complex patterns. This evaluation method has been applied to binary mixing patterns, and its effectiveness and validity have been examined.

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