Abstract The relationship between bubble departure frequency and diameter is fundamental to the boiling process and needs to be fully understood for prediction of overall boiling heat transfer performance. Hydrodynamic models for bubble departure were developed in previous studies. However, these models could not explain the dependence of bubble frequency on properties of the heating substrate and surrounding liquid, which was observed in many experiments. In this work, we develop a unified bubble departure theory for saturated nucleate pool boiling. The heat transfer in the bubble base region after bubble departure is taken into consideration. Two characteristic timescales, representing two dominant heat transfer processes for different regimes of bubble sizes, are extracted. These timescales, which depend on substrate and liquid properties, are used to determine bubble departure frequency. The results from our theory show reasonably good agreement with existing experimental data. The proposed model provides a unified relationship between bubble departure frequency and diameter for various combinations of heating substrates and working fluids in the saturated nucleate pool boiling regime.

中文翻译：

---

饱和核池沸腾过程中气泡离开频率与直径的统一关系

摘要 气泡离开频率与直径之间的关系是沸腾过程的基础，需要充分理解以预测整体沸腾传热性能。在先前的研究中开发了气泡离开的流体动力学模型。然而，这些模型无法解释气泡频率对加热基板和周围液体特性的依赖性，这是在许多实验中观察到的。在这项工作中，我们为饱和核池沸腾开发了统一的气泡离开理论。考虑了气泡离开后气泡底部区域的传热。提取了两个特征时间尺度，代表不同气泡大小的两种主要传热过程。这些时间尺度取决于底物和液体特性，用于确定气泡离开频率。我们的理论结果与现有的实验数据相当吻合。所提出的模型为饱和核池沸腾状态下加热基质和工作流体的各种组合提供了气泡离开频率和直径之间的统一关系。