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Transient Radiation and Conduction Heat Transfer in Glass Sheets by the Thin Layer Approximation

机译：薄层近似法在玻璃板中的瞬态辐射和传导热传递

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摘要

This paper is devoted to the simulation of 3D transient radiation and conduction heat transfer occurring inside thin glass sheets undergoing high temperature processing. The glass is considered as an absorbing, emitting, and nonscattering medium. The zonal method is used to establish the governing radiation transfer model. Direct exchange areas are calculated by the flux planes approximation. The thin layer approximation (TLA) is then introduced for increasing CPU efficiency. Three different numerical integration schemes made possible by the TLA are presented. Comparisons are made, with calculations performed using the finite volume method (FVM). The transient coupled energy equation is solved by a full implicit control volume method using the incomplete Cholesky conjugate gradient method. The heat transfer analysis of a glass sheet residing inside a hot rectangular enclosure is studied. Results obtained by the zonal method, with or without the TLA, are in close agreement with those obtained by the FVM. CPU requirements for radiative heat transfer analysis of the zonal method with TLA are, depending on the numerical integration scheme used, between 8 and 23 times smaller than those of the zonal method without TLA. The difference between the results of the different models never exceeds 4%. The zonal method with the TLA offered significant improvements in CPU time when compared with the original zonal method with similar or acceptable accuracy.
机译：本文致力于模拟发生在经过高温处理的薄玻璃板内部的3D瞬态辐射和传导热传递。玻璃被认为是吸收，发射和不散射的介质。区域法用于建立控制辐射传输模型。直接交换面积通过通量平面近似计算。然后引入薄层近似（TLA）以提高CPU效率。提出了TLA使得三种不同的数值积分方案成为可能。进行比较，并使用有限体积法（FVM）进行计算。瞬态耦合能量方程是使用不完整的Cholesky共轭梯度法通过完全隐式控制体积法求解的。研究了位于热矩形外壳内的玻璃板的传热分析。通过带或不带有TLA的分区方法获得的结果与FVM获得的结果非常一致。根据使用的数值积分方案，使用TLA的分区方法的辐射传热分析的CPU要求比不使用TLA的分区方法的CPU要求小8至23倍。不同模型的结果之间的差异永远不会超过4％。与具有相似或可接受的精度的原始分区方法相比，带有TLA的分区方法在CPU时间方面有显着改善。

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  • 来源
    《Journal of Heat Transfer》 |2010年第2期|023506.1-023506.8|共8页
  • 作者

    Georges El Hitti; Maroun Nemer; Khalil El Khoury;

  • 作者单位

    Center for Energy and Process Studies (CEP), CNRS FRE 2861, 60 Boulevard Saint-Michel, F-75272 Paris Cedex 06, France;

    Center for Energy and Process Studies (CEP), CNRS FRE 2861, 60 Boulevard Saint-Michel, F-75272 Paris Cedex 06, France;

    Center for Energy and Process Studies (CEP), CNRS FRE 2861, 60 Boulevard Saint-Michel, F-75272 Paris Cedex 06, France;

  • 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

    zonal method; finite volume method; thin layer approximation; coupled heat transfer; glass;

    机译：分区法有限体积法薄层近似;耦合传热玻璃;

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