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<p>In the heat transfer process, the liquid disturbance caused by the phase change will affect the spatial position of the bubbles in the liquid and thus affect the heat transfer efficiency. The Gini coefficient is proposed as a theoretical tool to characterize the degree of uniformity of bubble mixing in the heat transfer process and the evaluation method of the stability of the working conditions. The gas-liquid phase transition process under different operating conditions is taken as the object of study, and the degree of bubble distribution uniformity and the Stability of the spatial positional distribution of bubbles in the heat transfer process are quantified. This study has done an effective validation of the method to characterize the homogeneity of bubble mixing. The characteristic law parameter δ of the operating conditions was established, the correlation coefficient between δ and the volumetric heat transfer coefficient <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="231_2025_3540_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{U}_{v}\)</EquationSource> </InlineEquation> was 0.72, and the cosine similarity between δ and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="231_2025_3540_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{U}_{v}\)</EquationSource> </InlineEquation>was 0.995. In this study, it was found that among the nine conditions, the heat transfer process was more stable in condition L1, and the time required to reach the stable condition was the shortest in condition L6. The method of Gini coefficient provided in this study can effectively characterize the mixing uniformity of two-phase flow during heat transfer process.</p> Graphical Abstract <p></p>

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Evaluation and quantification of mixing uniformity of gas-liquid two-phase flow by Gini coefficient

  • 期刊论文

  • 发表日期：

    2025年2月14日

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  • Hepeng Ni,
  • Mingjian Wang,
  • Jianxin Xu,
  • Jianwei Zhang,
  • Jun Ma,
  • Xiaobin Wang

摘要

In the heat transfer process, the liquid disturbance caused by the phase change will affect the spatial position of the bubbles in the liquid and thus affect the heat transfer efficiency. The Gini coefficient is proposed as a theoretical tool to characterize the degree of uniformity of bubble mixing in the heat transfer process and the evaluation method of the stability of the working conditions. The gas-liquid phase transition process under different operating conditions is taken as the object of study, and the degree of bubble distribution uniformity and the Stability of the spatial positional distribution of bubbles in the heat transfer process are quantified. This study has done an effective validation of the method to characterize the homogeneity of bubble mixing. The characteristic law parameter δ of the operating conditions was established, the correlation coefficient between δ and the volumetric heat transfer coefficient \(\:{U}_{v}\) was 0.72, and the cosine similarity between δ and \(\:{U}_{v}\) was 0.995. In this study, it was found that among the nine conditions, the heat transfer process was more stable in condition L1, and the time required to reach the stable condition was the shortest in condition L6. The method of Gini coefficient provided in this study can effectively characterize the mixing uniformity of two-phase flow during heat transfer process.

Graphical Abstract