気泡径分布を用いた極低温キャビテーションの数学モデル

（ターボ機械への適用）

抄録

A mathematical model using bubble size distribution was developed for a cryogenic high-speed cavitating flow in turbomachinery. In this model, bubble growth/shrinkage is solved for each class of bubble mass (as an accurate expression of bubble size) when bubbles with various masses mix in the same spatially discretized calculation region. The bubble growth/shrinkage calculations employ a combination of two rigorous methods: a Rayleigh–Plesset equation for the bubbles’ oscillation, and a heat conduction equation for a thermal boundary layer around a bubble to evaluate the mass rate of evaporation or condensation. The mathematical model of cavitation has potential to contribute to fidelity in simulation for studying turbomachinery when considering a fluid with a strong thermodynamic effect.