Modelling the solidification process of supercooled phase change materials with high Prandtl number using the total enthalpy-based lattice Boltzmann method

IF 5 2区工程技术 Q1 ENGINEERING, MECHANICAL International Journal of Thermal Sciences Pub Date : 2025-03-21 DOI:10.1016/j.ijthermalsci.2025.109881

Baoxin Cao, Guobing Zhou

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Abstract

Modelling the supercooled solidification of PCMs is challenging due to the multi-value problem particularly for high Prandtl numbers (Pr). An improved total enthalpy-based lattice Boltzmann method is applied to simulate the solidification process of supercooled sodium acetate trihydrate (SAT, Pr = 40) in a vertical cylindrical container triggered by local cooling. The evolutions of the SAT temperature profile, solid fraction and particularly the solidification front are monitored, and the effects of the cold source temperature (T_cool) and the cooling area (l × l) are analyzed. The results show that the presented method accurately characterizes the supercooled solidification; decreasing T_cool from −5.5 °C to −7 °C reduces the induction time by 95.7 % and the discharging period by 11.1 %; increasing cooling area l × l from 2 × 2 cm² to 8 × 8 cm² also shortens the induction time from 11 s to 7 s and the discharging period by up to 500 s. The larger cooling area l × l accelerates the movement of the solidification front and also has a significant impact on its morphology. The present model proposes an alternative numerical method for predicting the discharging performance of the supercooled high-Pr PCMs inside containers.

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采用基于总焓的晶格玻尔兹曼方法模拟高普朗特数过冷相变材料的凝固过程

由于多值问题，特别是对于高普朗特数（Pr）， pcm的过冷凝固建模是具有挑战性的。采用改进的基于总焓的晶格玻尔兹曼方法，模拟了三水合乙酸钠（SAT, Pr = 40）在局部冷却触发的垂直圆柱形容器中的凝固过程。监测了凝固前沿的温度分布、固相分数和凝固前沿的演变，分析了冷源温度（Tcool）和冷却面积（l × l）的影响。结果表明，该方法能准确表征过冷凝固过程；将Tcool从−5.5℃降低到−7℃，诱导时间缩短95.7%，放电时间缩短11.1%；将冷却面积从2 × 2 cm2增加到8 × 8 cm2，使感应时间从11 s缩短到7 s，放电时间最多缩短500 s。较大的冷却面积l × l加速了凝固锋的移动，对凝固锋的形貌也有显著的影响。该模型提出了一种预测容器内过冷高pr PCMs放电性能的替代数值方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Thermal Sciences 工程技术-工程：机械

CiteScore

8.10

自引率

11.10%

发文量

531

审稿时长

55 days

期刊介绍： The International Journal of Thermal Sciences is a journal devoted to the publication of fundamental studies on the physics of transfer processes in general, with an emphasis on thermal aspects and also applied research on various processes, energy systems and the environment. Articles are published in English and French, and are subject to peer review. The fundamental subjects considered within the scope of the journal are: * Heat and relevant mass transfer at all scales (nano, micro and macro) and in all types of material (heterogeneous, composites, biological,...) and fluid flow * Forced, natural or mixed convection in reactive or non-reactive media * Single or multi–phase fluid flow with or without phase change * Near–and far–field radiative heat transfer * Combined modes of heat transfer in complex systems (for example, plasmas, biological, geological,...) * Multiscale modelling The applied research topics include: * Heat exchangers, heat pipes, cooling processes * Transport phenomena taking place in industrial processes (chemical, food and agricultural, metallurgical, space and aeronautical, automobile industries) * Nano–and micro–technology for energy, space, biosystems and devices * Heat transport analysis in advanced systems * Impact of energy–related processes on environment, and emerging energy systems The study of thermophysical properties of materials and fluids, thermal measurement techniques, inverse methods, and the developments of experimental methods are within the scope of the International Journal of Thermal Sciences which also covers the modelling, and numerical methods applied to thermal transfer.