Abstract Scientifically and accurately predicting the distribution of the bubble sizes on the heating surface is a key step to improve the calculation accuracy of the boiling heat transfer model. In the present study, an ingenious nucleate boiling heat transfer model was developed on the basis of random fractal function of the bubble sizes distribution, and renormalization group theory was introduced to solve this distribution function. Compared to the previous correlations, the distribution function of bubbles for various sizes can be obtained by solving this random fractal distribution function with renormalization group method. Furthermore, the process of increasing the fractal dimension from 1 to 2 was first proposed in this paper to match the whole evolution of the heated liquid from natural convection to nucleate boiling, to transition boiling, and finally to film boiling. Therefore, the present model can reveal the nature of nucleate boiling more comprehensively and deeply. Through comparison, it can be found that the image of bubble distribution obtained from the random fractal model was very similar to the experimental photographs statistically, and the predictions heat transfer were in good agreement with the experimental data when the superheat ΔT is higher than 10 °C, and the deviation is less than 20%.

中文翻译：

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基于气泡尺寸分形分布的核沸腾传热模型

摘要 科学准确地预测受热面上气泡尺寸的分布是提高沸腾传热模型计算精度的关键步骤。在本研究中，基于气泡尺寸分布的随机分形函数，开发了一种巧妙的核沸腾传热模型，并引入重整化群理论来求解该分布函数。与之前的相关性相比，通过使用重整化群方法求解这个随机分形分布函数，可以得到各种大小气泡的分布函数。此外，本文首次提出了分形维数从 1 增加到 2 的过程，以匹配加热液体从自然对流到核沸腾的整个演变过程，过渡沸腾，最后到薄膜沸腾。因此，本模型可以更全面、更深入地揭示核沸腾的性质。通过对比可以发现，随机分形模型得到的气泡分布图像在统计上与实验照片非常相似，当过热度ΔT大于10°时，预测传热与实验数据吻合较好。 C、偏差小于20%。