<p>Accurate prediction and modeling of subcooled flow boiling critical heat flux (CHF) are essential for the safe operation of two-phase heat transfer systems across a wide range of engineering applications. A fundamental challenge lies in the empirical and often inconsistent selection of dimensionless numbers, which affects correlation performance, mechanistic interpretation, and the design of similarity experiments. In this study, a data-driven dimensional analysis approach is employed to overcome the non-uniqueness of traditional dimensional analysis. A comprehensive subcooled flow boiling CHF dataset comprising 4238 data points across 11 fluids is compiled; to the best of the authors’ knowledge, this is the largest multi-fluid dataset currently available. Using this method, a new key dimensionless number, denoted as <i>π</i><sub>CHF</sub>, is discovered, showing a strong negative correlation with the modified boiling number (<i>Bo</i>*). The core of <i>π</i><sub>CHF</sub> is formed by a newly designed Evaporation number (<i>Ev</i>), representing the proportion of surface tension energy overcome during bubble growth relative to the total absorbed energy, and the gas phase Peclet number (<i>Pe</i><sub>g</sub>), characterizing the relative importance of convective versus diffusive heat transfer within the gas phase. Based on <i>π</i><sub>CHF</sub>, a new predictive correlation is developed, achieving an overall mean absolute percentage error (MAPE) of 12.55% across the dataset, demonstrating superior accuracy and broad applicability compared to nine existing models. These findings provide a promising basis for further mechanistic studies, model development, and the design of fluid-to-fluid similarity experiments, particularly for advanced nuclear energy systems, aerospace thermal management, and electronics cooling.</p>

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Data-Driven Dimensional Analysis of Critical Heat Flux (CHF) in Subcooled Flow: Discovery of a New Key Dimensionless Number

  • Kuang Yang,
  • Xinying Wang,
  • Zhenghui Hou,
  • Chaojie Xing,
  • Haijun Wang

摘要

Accurate prediction and modeling of subcooled flow boiling critical heat flux (CHF) are essential for the safe operation of two-phase heat transfer systems across a wide range of engineering applications. A fundamental challenge lies in the empirical and often inconsistent selection of dimensionless numbers, which affects correlation performance, mechanistic interpretation, and the design of similarity experiments. In this study, a data-driven dimensional analysis approach is employed to overcome the non-uniqueness of traditional dimensional analysis. A comprehensive subcooled flow boiling CHF dataset comprising 4238 data points across 11 fluids is compiled; to the best of the authors’ knowledge, this is the largest multi-fluid dataset currently available. Using this method, a new key dimensionless number, denoted as πCHF, is discovered, showing a strong negative correlation with the modified boiling number (Bo*). The core of πCHF is formed by a newly designed Evaporation number (Ev), representing the proportion of surface tension energy overcome during bubble growth relative to the total absorbed energy, and the gas phase Peclet number (Peg), characterizing the relative importance of convective versus diffusive heat transfer within the gas phase. Based on πCHF, a new predictive correlation is developed, achieving an overall mean absolute percentage error (MAPE) of 12.55% across the dataset, demonstrating superior accuracy and broad applicability compared to nine existing models. These findings provide a promising basis for further mechanistic studies, model development, and the design of fluid-to-fluid similarity experiments, particularly for advanced nuclear energy systems, aerospace thermal management, and electronics cooling.