Evaluation of Mixing Ability of Flow Field Based on Relative Entropy

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  • Shiba Takako
    Division of Chemical Engineering, Graduate School of Engineering Science, Osaka University
  • Inoue Yoshiro
    Division of Chemical Engineering, Graduate School of Engineering Science, Osaka University

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  • 相対エントロピーを基にした流れ場の混合能力評価
  • ソウタイ エントロピー オ モト ニ シタ ナガレバ ノ コンゴウ ノウリョク ヒョウカ

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Abstract

Mixedness and mixing ability are two kinds of quantitative indexes to evaluate fluid mixing. Mixedness is an index of spatial distribution uniformity of particular species in fluid. On the other hand, mixing ability is an index of kinematic intensity of mixing fluid motion. In this study, the new quantitative index to express kinematic mixing ability is proposed based on an information measure corresponding to a relative entropy, known as Kullback-Leibler information. The regions essentially dominating the fluid mixing motion strongly depend on the geometric structure of Birkhoff pattern on a Poincaré section, In this pattern, there are a chaotic sea and many islands enclosed by KAM curves. The new mixing ability proposed in this paper accurately expresses the potential mixing ability intrinsic to the flow field. In other word, this index coincides with the potential mixing ability predicted from Birkhoff pattern. Furthermore, there is an advantage that this index hardly depends on the number of virtual test particles used in this calculating procedure.

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