Purpose

This paper aims to establish a lattice Boltzmann (LB) method for solid-liquid phase transition (SLPT) from the pore scale to the representative elementary volume (REV) scale. By applying this method, detailed information about heat transfer and phase change processes within the pores can be obtained, while also enabling the calculation of larger-scale SLPT problems, such as shell-and-tube phase change heat storage systems.

Design/methodology/approach

Three-dimensional (3D) pore-scale enthalpy-based LB model is developed. The computational input parameters at the REV scale are derived from calculations at the pore scale, ensuring consistency between the two scales. The approaches to reconstruct the 3D porous structure and determine the REV of metal foam were discussed. The implementation of conjugate heat transfer between the solid matrix and the solid−liquid phase change material (SLPCM) for the proposed model is developed. A simple REV-scale LB model under the local thermal nonequilibrium condition is presented. The method of bridging the gap between the pore-scale and REV-scale enthalpy-based LB models by the REV is given.

Findings

This coupled method facilitates detailed simulations of flow, heat transfer and phase change within pores. The approach holds promise for multiscale calculations in latent heat storage devices with porous structures. The SLPT of the heat sinks for electronic device thermal control was simulated as a case, demonstrating the efficiency of the present models in designing and optimizing SLPT devices.

Originality/value

A coupled pore-scale and REV-scale LB method as a numerical tool for investigating phase change in porous materials was developed. This innovative approach allows for the capture of details within pores while addressing computations over a large domain. The LB method for simulating SLPT from the pore scale to the REV scale was given. The proposed method addresses the conjugate heat transfer between the SLPCM and the solid matrix in the enthalpy-based LB model.

中文翻译：

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晶格玻尔兹曼模型模拟固液相变：从孔隙尺度到代表性单元体积尺度

目的

本文旨在建立一种用于从孔隙尺度到代表性单元体积（REV）尺度的固液相变（SLPT）的格子玻尔兹曼（LB）方法。通过应用该方法，可以获得有关孔隙内传热和相变过程的详细信息，同时还能够计算更大规模的SLPT问题，例如管壳式相变储热系统。

设计/方法论/途径

开发了基于三维 (3D) 孔隙尺度焓的 LB 模型。 REV尺度的计算输入参数源自孔隙尺度的计算，确保了两个尺度之间的一致性。讨论了重建3D多孔结构和确定泡沫金属REV的方法。针对所提出的模型，开发了固体基体和固液相变材料（SLPCM）之间共轭传热的实现。提出了局部热非平衡条件下的简单 REV 尺度 LB 模型。给出了通过 REV 弥补孔隙尺度和 REV 尺度基于焓的 LB 模型之间差距的方法。

发现

这种耦合方法有助于详细模拟孔隙内的流动、传热和相变。该方法有望用于具有多孔结构的潜热存储装置的多尺度计算。以电子设备热控制散热器的 SLPT 为例进行了仿真，证明了当前模型在设计和优化 SLPT 器件方面的效率。

原创性/价值

开发了耦合孔隙尺度和 REV 尺度 LB 方法作为研究多孔材料相变的数值工具。这种创新方法可以捕获孔隙内的细节，同时解决大范围的计算问题。给出了从孔隙尺度到REV尺度模拟SLPT的LB方法。所提出的方法解决了基于焓的 LB 模型中 SLPCM 和固体基体之间的共轭传热。