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Enthalpic lattice Boltzmann formulation for unsteady heat conduction in heterogeneous media

机译:焓晶格玻尔兹曼公式用于非均匀介质中的非稳态热传导

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摘要

In this paper, we propose an enthalpic lattice Boltzmann formulation for heat transfer in heterogeneous media. This formulation leads to the appearance of a source term, which introduces the jump conditions at the interface between two phases or components, with different thermal properties. It conserves conductive heat flux, which makes it suitable for modeling heat conduction in multiphase and multi-component systems. This approach is simple to implement and can be easily applied to simulate heat transfer with complex and time dependent interfaces, efficiently. It does not require any specific treatment dependent on interface topology. It is also independent on the choice of lattice. This approach is validated by comparisons with analytical and numerical results of several test problems with flat and curved interfaces. Both 2- and 3-dimensional conduction transfer problems were simulated. The obtained results show excellent agreements with reference solutions.
机译:在本文中,我们提出了一种用于非均质介质传热的焓格子玻尔兹曼公式。这种表述导致了源项的出现,该源项在具有不同热特性的两相或组件之间的界面处引入了跳跃条件。它节省了传导热通量,使其适合于建模多相和多组件系统中的热传导。这种方法易于实施,并且可以轻松有效地用于模拟复杂且时间依赖的界面的传热。不需要依赖接口拓扑的任何特定处理。它也与晶格的选择无关。通过与多个具有平坦和弯曲界面的测试问题的分析和数值结果进行比较,验证了该方法。模拟了二维和三维传导转移问题。获得的结果表明与参考溶液具有极好的一致性。

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  • 作者单位

    Laboratoire d'Etudes des Systemes Thermiques et Energetiques, Ecole Nationale d'Ingenieurs de Monastir, Universite de Monastir, Avenue Ibn El Jazzar, 5019 Monastir, Tunisia;

    Laboratoire d'Etudes des Systemes Thermiques et Energetiques, Ecole Nationale d'Ingenieurs de Monastir, Universite de Monastir, Avenue Ibn El Jazzar, 5019 Monastir, Tunisia;

    Laboratoire d'Etudes des Systemes Thermiques et Energetiques, Ecole Nationale d'Ingenieurs de Monastir, Universite de Monastir, Avenue Ibn El Jazzar, 5019 Monastir, Tunisia;

    Laboratoire de Genie des Procedes et Materiaux, Centrale Supelec, Universite de Paris-Saclay, Grande Voie des Vignes, 92295 Chatenay-Malabry Cedex, 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

    Conduction heat transfer; Lattice boltzmann Method; Enthalpic formulation;

    机译:传导热传递;格子博兹曼法;焓公式;
  • 入库时间 2022-08-18 00:18:16

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