キャビテーション流れの解析に用いられるRayleigh-Plessetの式の圧力項に関する考察(流体工学,流体機械)

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The present work describes physical meaning of the pressure terms in the Rayleigh-Plesset equation that is used to calculate the radial motion of bubbles in an averaged equation for cavitating flows or bubbly flows. The governing equations of motion of N bubbles are derived by taking bubble/bubble and bubble/flow interactions into account. The resulting equation of motion for radial motion involves the interaction terms explicitly. It is shown that the interaction terms are divided into the liquid pressure term evaluated at the center of a noticed bubble and the pressure term due to relative translation. Therefore, we do not need to consider bubble/bubble interaction terms explicitly when the void fraction is small and thus the averaged pressure is regarded as the pressure at the bubble center because the liquid pressure at the bubble center involves the bubble/bubble interactions implicitly. However, we need to consider the bubble/bubble interaction terms explicitly when the void fraction is moderate and more than one bubble exists in the control volume in averaging pressure.
一般社団法人日本機械学会の論文
2004-03-25