Computation Transport Phenomena in Chemical Engineering. Analysis on Benard Convection Pattern with Pattern Evolution Equation.

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  • Inoue Yoshiro
    Department of Chemical Science and Engineering, Graduate School of Engineering Science, Osaka University
  • Hirata Yushi
    Department of Chemical Science and Engineering, Graduate School of Engineering Science, Osaka University
  • Kunugita Eiichi
    Chang Won National University

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  • 流れの数値解析と化学装置のモデリング　　パターン発展方程式に基づくベナール対流パターンの解析
  • パターン ハッテン ホウテイシキ ニ モトズク ベナール タイリュウ パターン

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Abstract

The time evolution of a plane pattern in Bénard convection field is numerically simulated with the generalized Ginzburg-Landau evolution equation described with the pattern variable, and the obtained numerical results are compared with and discussed previous experimental and theoreticalesults. In spite of a single non-linear differential equation, the evolution equation derived phenomenally is able to express the various convection patterns : roll cells, hexagonal cells, zigzag-rolls, cross-rolls, and the wave number change observed in super-critical Rayleigh number. This approach makes the procedure for analysis of the phenomena accompanied with pattern formation extremely simplify.

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