In this paper, the melting process of a PCM inside an inclined compound enclosure partially filled with a porous medium is theoretically addressed using a novel deformed mesh method. The sub-domain area of the compound enclosure is made of a porous layer and clear region. The right wall of the enclosure is adjacent to the clear region and is subject to a constant temperature of T c . The left wall, which is connected to the porous layer, is thick and thermally conductive. The thick wall is partially subject to the hot temperature of T h . The remaining borders of the enclosure are well insulated. The governing equations for flow and heat transfer, including the phase change effects and conjugate heat transfer at the thick wall, are introduced and transformed into a non-dimensional form. A deformed grid method is utilized to track the phase change front in the solid and liquid regions. The melting front movement is controlled by the Stefan condition. The finite element method, along with Arbitrary Eulerian–Lagrangian (ALE) moving grid technique, is employed to solve the non-dimensional governing equations. The modeling approach and the accuracy of the utilized numerical approach are verified by comparison of the results with several experimental and numerical studies, available in the literature. The effect of conjugate wall thickness, inclination angle, and the porous layer thickness on the phase change heat transfer of PCM is investigated. The outcomes show that the rates of melting and heat transfer are enhanced as the thickness of the porous layer increases. The melting rate is the highest when the inclination angle of the enclosure is 45°. An increase in the wall thickness improves the melting rate.

中文翻译：

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部分填充多孔介质的倾斜复合腔中的共轭相变传热：变形网格方法

在本文中，使用新的变形网格方法从理论上解决了部分填充有多孔介质的倾斜复合外壳内 PCM 的熔化过程。复合外壳的子域区域由多孔层和透明区域组成。外壳的右壁与透明区域相邻，并受到恒定温度 T c 的影响。连接到多孔层的左壁厚且导热。厚壁部分受热温度 T h 的影响。外壳的其余边界绝缘良好。介绍了流动和传热的控制方程，包括厚壁处的相变效应和共轭传热，并将其转化为无量纲形式。利用变形网格方法来跟踪固体和液体区域的相变前沿。熔融前沿运动由 Stefan 条件控制。有限元方法与任意欧拉-拉格朗日 (ALE) 移动网格技术一起用于求解无量纲控制方程。建模方法和所用数值方法的准确性通过将结果与文献中的几个实验和数值研究进行比较来验证。研究了共轭壁厚、倾角和多孔层厚度对相变相变传热的影响。结果表明，随着多孔层厚度的增加，熔化和传热速率提高。外壳倾角为45°时熔化率最高。壁厚的增加提高了熔化速率。