The present attempt investigates solidification through a tank equipped with T-shaped fins, a crucial aspect of cold storage technology. Utilizing the Finite Element Method (FEM) for simulation, implementation of a mesh adaptation technique enhances the accuracy of modeling. Equations are derived based on the assumption of neglecting velocity effects during solidification, simplifying the mathematical framework for analysis. Validation of the numerical approach is conducted through comparisons with previously published works, affirming the reliability of the methodology. A notable aspect of the study is the utilization of nanosized powders dispersed within the water, serving to bolster system performance. This innovative approach enhances water conductivity, thereby augmenting the rate of cold storage. Employing powders with a greater shape factor yields promising results, leading to a discernible decrease in completion time by approximately 10.6 %, attributed to heightened conductivity facilitated by the nanomaterial. Furthermore, the investigation explores the impact of varying volume fractions of particles on solidification time, revealing a significant reduction of approximately 32.78 % with the implementation of higher particle volumes.

中文翻译：

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纳米粒子对系统冷冻过程的传热处理

目前的尝试是通过配备 T 形翅片的储罐来研究凝固，这是冷藏技术的一个重要方面。利用有限元法（FEM）进行模拟，网格自适应技术的实施提高了建模的准确性。方程的推导基于忽略凝固过程中速度影响的假设，简化了分析的数学框架。通过与以前发表的作品进行比较来验证数值方法，确认该方法的可靠性。该研究的一个值得注意的方面是利用分散在水中的纳米粉末来增强系统性能。这种创新方法增强了水的电导率，从而提高了冷藏率。使用具有更大形状系数的粉末会产生有希望的结果，由于纳米材料促进了更高的导电性，导致完成时间明显减少约 10.6%。此外，研究还探讨了不同颗粒体积分数对凝固时间的影响，结果表明，采用更高颗粒体积后，凝固时间显着减少约 32.78%。