Abstract Bubble flow has good characteristics of mass and heat transfer, and is widely used in industrial practice. In bubble flow, the gas phase is mixed with the liquid phase in the form of bubbles. The gas-liquid two-phase structure of bubble flow is investigated by analyzing the motion and force states of bubbles. The most crucial bubble behaviors include the bubble collision and breakup, which continuously occur in the movement process of bubble flow. The bubble collision is usually brought by the fluid turbulence, buoyancy and laminar shear stress. The coalescence efficiency of bubble collisions is analyzed to describe the bubble coalescence behavior. A novel theory of bubble breakup is established according to the probability field analyses of turbulent eddies. Then, the generation and elimination rates of an entire bubble group can be obtained by calculating the collision and breakup probabilities of a single bubble. Combing with the investigations on the random motion rules of a single bubble and an entire bubble group, a theoretical model is first developed to predict the overall bubble size distribution in fully developed bubble flow. The predictions from the probability model generally agree with the experimental data of the bubble size distribution, validating the applicability and easier usage of the theoretical model.

中文翻译：

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一种预测垂直管道中完全发展的气泡流中气泡尺寸分布的概率模型

摘要 气泡流具有良好的传质传热特性，在工业实践中得到广泛应用。在气泡流中，气相与液相以气泡的形式混合。通过分析气泡的运动和受力状态，研究了气泡流的气液两相结构。最关键的气泡行为包括气泡碰撞和破裂，它们在气泡流动的运动过程中不断发生。气泡碰撞通常是由流体湍流、浮力和层流剪切应力引起的。分析气泡碰撞的聚结效率来描述气泡的聚结行为。根据湍流涡流的概率场分析，建立了一种新的气泡破裂理论。然后，通过计算单个气泡的碰撞和破裂概率，可以得到整个气泡组的产生和消除率。结合对单个气泡和整个气泡群的随机运动规律的研究，首先建立了一个理论模型来预测完全发展的气泡流中的整体气泡尺寸分布。概率模型的预测与气泡尺寸分布的实验数据基本吻合，验证了理论模型的适用性和易用性。首先开发了一个理论模型来预测完全发展的气泡流中的整体气泡尺寸分布。概率模型的预测与气泡尺寸分布的实验数据基本吻合，验证了理论模型的适用性和易用性。首先开发了一个理论模型来预测完全发展的气泡流中的整体气泡尺寸分布。概率模型的预测与气泡尺寸分布的实验数据基本吻合，验证了理论模型的适用性和易用性。