Air–water mixing associated with high turbulence is a common hydraulic phenomenon, where the transport of entrained air bubbles and the dissipation of turbulent energy are key processes affecting the air–water mass transfer. Herein hydraulic jumps were selected as a seminal case of self-air-entrainment in transitional water flow, and the air–water flow properties were investigated at high Froude numbers from 10.5 to 13.5. The analysis of air concentration distributions and bubble size spectra enabled deviation of the rates of bubble diffusion and turbulence dissipation. The study was facilitated with re-analyses of earlier experimental data for smaller Froude numbers between 3.8 and 10. The spatial evolution of the diffusion and dissipation rates suggested that the diffusion of air bubbles and dissipation of turbulent structures were not independent processes, and, at high Froude numbers, the mix of air and water was subject to re-aeration of the turbulent shear layer by the roller.

中文翻译：

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高度充气水跃中的气泡扩散和湍流消散率

与高湍流相关的气水混合是一种常见的水力现象，其中夹带气泡的传输和湍流能量的耗散是影响气水传质的关键过程。这里选择水跃作为过渡水流中自引气的开创性案例，并在 10.5 到 13.5 的高弗劳德数下研究空气-水流特性。空气浓度分布和气泡尺寸谱的分析使气泡扩散率和湍流消散率出现偏差。通过重新分析 3.8 到 10 之间较小的弗劳德数的早期实验数据，该研究得到了促进。