The process of cavitation involves generation, growth, coalescence, and collapse of small bubbles and is tremendously influenced by bubble–bubble interactions. To understand these interactions, a new cavitation model based on the transport equation is proposed herein. The modified Rayleigh–Plesset equation is analyzed to determine the bubble growth rate by assuming equal-sized spherical bubble clouds. The source term in the transport equation is then derived according to the bubble growth rate with the bubble-bubble interaction. The proposed model is validated by various test simulations, including microscopic bubble cloud evolution as well as macroscopical two- and three-dimensional cavitating flows. Compared with previous models, namely the Kunz and Zwart cavitation models, the newly proposed model does not require adjustable parameters and generally results in better predictions both microscopic and macroscopical cases. This model is more physical.

空化过程涉及小气泡的产生、生长、聚结和坍塌，并且受气泡-气泡相互作用的影响很大。为了理解这些相互作用，本文提出了一种基于输运方程的新空化模型。分析修正的 Rayleigh-Plesset 方程，通过假设大小相等的球形气泡云来确定气泡增长率。然后根据气泡增长率和气泡-气泡相互作用推导出传输方程中的源项。所提出的模型通过各种测试模拟得到验证，包括微观气泡云演化以及宏观二维和三维空化流动。与之前的模型，即 Kunz 和 Zwart 空化模型相比，新提出的模型不需要可调整的参数，并且通常会在微观和宏观情况下产生更好的预测。这个模型更物理。