Abstract

A mathematical model and a numerical method for studying two-dimensional plane gas flows through thermal accumulators based on granular or capsular phase change materials (PCMs) are proposed. The considered objects are modeled as porous media with phase transitions occurring in the condensed component. The study is based on methods of heterogeneous continuum mechanics without detailing the processes inside individual particles. The proposed numerical method combines explicit and implicit finite-difference schemes. The method is described in detail, and its convergence is experimentally analyzed. The heating of smoothly narrowing and smoothly expanding thermal accumulators consisting of granular PCM is studied. It is shown that heating in such objects near the inclined walls occurs more slowly than in their central part even in the absence of heat transfer through the sidewalls.

中文翻译：

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颗粒相变材料中二维气流的数值模拟

摘要

提出了一种基于颗粒状或囊状相变材料（PCMs）的二维平面流过蓄热器的数学模型和数值方法。所考虑的对象被建模为多孔介质，并在冷凝的组件中发生相变。这项研究是基于异质连续力学的方法，没有详细说明单个粒子内部的过程。所提出的数值方法结合了显式和隐式有限差分方案。详细描述了该方法，并通过实验分析了其收敛性。研究了由颗粒状PCM组成的平滑变窄和平滑膨胀的蓄热器的加热。