We present various analytical solutions for a two-dimensional steady air source that demonstrate classical flow physics’ usefulness in air-sparging evaluation. These solutions capture different flow geometry and setup effects while offering accuracy, speed, and a deeper understanding of governing physics. Compared to empirical models, they excel with fewer physical parameters. We validate their accuracy by comparing these solutions to experimental air-sparging data from two-dimensional flow cells. This comparison underscores the applicability of the physical model and establishes a relationship between grain size and a key model parameter. Furthermore, this analysis enables predictive capabilities for scaled-up systems with diverse setup geometries.

中文翻译：

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通过连续方法揭示流通池中的空气鼓泡分析


我们提出了二维稳态气源的各种解析解，这些解证明了经典流动物理学在空气鼓泡评估中的有用性。这些解决方案可捕获不同的流动几何和设置效果，同时提供准确性、速度和对控制物理场的更深入理解。与经验模型相比，它们以较少的物理参数表现出色。我们通过将这些解决方案与来自二维流通池的实验空气鼓泡数据进行比较来验证它们的准确性。这种比较强调了物理模型的适用性，并建立了晶粒尺寸和关键模型参数之间的关系。此外，该分析还为具有不同设置几何形状的放大系统提供了预测功能。