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基于时间分数阶无网格光滑粒子流体动力学方法研究双旋转对六边形腔内纳米增强相变材料磁流体动力学自然对流的影响。

Effect of dual-rotation on MHD natural convection of NEPCM in a hexagonal-shaped cavity based on time-fractional ISPH method.

作者信息

Raizah Zehba, Aly Abdelraheem M

机构信息

Department of Mathematics, Faculty of Science, King Khalid University, Abha, 62529, Saudi Arabia.

Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523, Egypt.

出版信息

Sci Rep. 2021 Nov 22;11(1):22687. doi: 10.1038/s41598-021-02046-z.

DOI:10.1038/s41598-021-02046-z
PMID:34811405
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8608899/
Abstract

The time-fractional derivative based on the Grunwald-Letnikove derivative of the 2D-ISPH method is applying to emulate the dual rotation on MHD natural convection in a hexagonal-shaped cavity suspended by nano-encapsulated phase change material (NEPCM). The dual rotation is performed between the inner fin and outer hexagonal-shaped cavity. The impacts of a fractional time derivative [Formula: see text] [Formula: see text], Hartmann number Ha [Formula: see text], fin length [Formula: see text], Darcy parameter Da [Formula: see text], Rayleigh number Ra [Formula: see text], fusion temperature [Formula: see text] [Formula: see text], and solid volume fraction [Formula: see text] [Formula: see text] on the velocity field, isotherms, and mean Nusselt number [Formula: see text] are discussed. The outcomes signaled that a dual rotation of the inner fin and outer domain is affected by a time-fractional derivative. The inserted cool fin is functioning efficiently in the cooling process and adjusting the phase change zone within a hexagonal-shaped cavity. An increment in fin length augments the cooling process and changes the location of a phase change zone. A fusion temperature [Formula: see text] adjusts the strength and position of a phase change zone. The highest values of [Formula: see text] are obtained when [Formula: see text]. An expansion in Hartmann number [Formula: see text] reduces the values of [Formula: see text]. Adding more concentration of nanoparticles is improving the values of [Formula: see text].

摘要

基于二维无网格光滑粒子流体动力学（2D-ISPH）方法的 Grünwald-Letnikove 导数的时间分数阶导数，被用于模拟由纳米封装相变材料（NEPCM）悬浮的六边形腔内磁流体动力学自然对流的双重旋转。双重旋转在内部翅片和外部六边形腔之间进行。讨论了分数时间导数[公式：见原文][公式：见原文]、哈特曼数 Ha[公式：见原文]、翅片长度[公式：见原文]、达西参数 Da[公式：见原文]、瑞利数 Ra[公式：见原文]、熔化温度[公式：见原文][公式：见原文]和固体体积分数[公式：见原文][公式：见原文]对速度场、等温线和平均努塞尔数[公式：见原文]的影响。结果表明，内部翅片和外部区域的双重旋转受时间分数阶导数的影响。插入的冷却翅片在冷却过程中有效发挥作用，并调整六边形腔内的相变区域。翅片长度的增加增强了冷却过程并改变了相变区域的位置。熔化温度[公式：见原文]调整相变区域的强度和位置。当[公式：见原文]时获得[公式：见原文]的最高值。哈特曼数[公式：见原文]的增加会降低[公式：见原文]的值。添加更多浓度的纳米颗粒会提高[公式：见原文]的值。

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