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首页> 外文期刊>Journal of Heat Transfer >Solution of the Phase Change Stefan Problem With Time-Dependent Heat Flux Using Perturbation Method
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Solution of the Phase Change Stefan Problem With Time-Dependent Heat Flux Using Perturbation Method

机译：时变热流相变Stefan问题的摄动法求解

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摘要

Theoretical understanding of phase change heat transfer problems is of much interest for multiple engineering applications. Exact solutions for phase change heat transfer problems are often not available, and approximate analytical methods are needed to be used. This paper presents a solution for a one-dimensional (1D) phase change problem with time-dependent heat flux boundary condition using the perturbation method. Two different expressions for propagation of the phase change front are derived. For the special case of constant heat flux, the present solution is shown to offer key advantages over past papers. Specifically, the present solution results in greater accuracy and does not diverge at large times unlike past results. The theoretical result is used for understanding the nature of phase change propagation for linear and periodic heat flux boundary conditions. In addition to improving the theoretical understanding of phase change heat transfer problems, these results may contribute toward design of phase change based thermal management for a variety of engineering applications, such as cooling of Li-ion batteries.
机译：对相变传热问题的理论理解对于多个工程应用非常重要。解决相变传热问题的精确解决方案通常不可用，需要使用近似的分析方法。本文提出了一种基于摄动法的具有时变热流边界条件的一维（1D）相变问题的解决方案。推导了两种不同的相变前沿传播表达式。对于恒定热通量的特殊情况，本解决方案显示出比过去的论文更重要的优势。具体地，本解决方案导致更高的准确性，并且与过去的结果不同，不会长时间发散。理论结果用于理解线性和周期性热通量边界条件下相变传播的性质。除了提高对相变传热问题的理论理解之外，这些结果还有助于基于相变的热管理设计，以用于各种工程应用，例如锂离子电池的冷却。

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  • 来源
    《Journal of Heat Transfer》 |2019年第2期|024503.1-024503.5|共5页
  • 作者

    Mohammad Parhizi; Ankur Jain;

  • 作者单位

    Mechanical and Aerospace Engineering Department,University of Texas at Arlington;

    Mechanical and Aerospace Engineering Department,University of Texas at Arlington;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Heat flux; Boundary-value problems;

    机译：热通量;边值问题;

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