Abstract In this paper, the dynamics and dominant parameters of bubble shape deformation and drag coefficient during bubble rising were theoretically analyzed based on fundamental insights into bubble motion. Modified models for the aspect ratio and drag coefficient applying to a wide range including saturate vapor-water conditions under high pressure (6.9–15.5 MPa) were finally proposed based on theoretical analyses and comprehensive evaluations on previous correlations of aspect ratio and drag coefficient. Results showed that the combination of Weber number and Morton number can reasonably characterize the bubble shape deformation, while the combination of Reynolds number, Eotvos number and Morton number can reasonably characterize the drag coefficient. The proposed aspect ratio correlation in this paper predicts 90% of the existing experimental and numerical data within ±20% with a relative mean error of 8.2% for bubble rising in both two-component systems at atmospheric pressure and mono-component vapor-water systems at 6.9–15.5 MPa, while the proposed drag coefficient correlation predicts 93.5% of the data within ±35% with a relative mean error of 13.8% covering a wide range of 10−3 ≤ Re ≤ 105, 10−2 ≤ Eo ≤ 103 and 10−14 ≤ Mo ≤ 107.

中文翻译：

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涵盖广泛工作条件的气泡形状和阻力系数的分析和修正模型

摘要 本文基于对气泡运动的基本认识，从理论上分析了气泡上升过程中气泡形状变形和阻力系数的动力学和主要参数。基于理论分析和对先前纵横比和阻力系数相关性的综合评估，最终提出了适用于包括高压（6.9-15.5 MPa）饱和汽水条件在内的广泛范围的纵横比和阻力系数的修正模型。结果表明，韦伯数和莫顿数的组合可以合理地刻画气泡形状变形，而雷诺数、埃特沃斯数和莫顿数的组合可以合理地刻画阻力系数。