The authors of the present paper sought to conduct a numerical study on the convection heat transfer, along with the radiation and entropy generation (EGE) of a nanofluids (NFs) in a two and three-dimensional square enclosure, by using the FVM. The enclosure contained a high-temperature blade in the form of a vertical elliptical quadrant in the lower corner of the enclosure. The right edge of the enclosure was kept at low temperature, while the other edges were insulated. The enclosure was subjected to a magnetic field (MGF) and could be adjusted to different angles. In this research, two laboratory relationships dependent on temperature and volume fraction were used to simulate thermal conductivity and viscosity. The variables of this problem were Ra, Ha, RAP, nanoparticle (NP) volume fraction, blade aspect ratio, enclosure angles, and MGF. Evaluating the effects of these variables on heat transfer rate (HTR), EGE, and Be revealed that increasing the Ra and reducing the Ha could increase the HTR and EGE. On the other hand, adding radiation HTR to the enclosure increased the overall HTR. Moreover, an augmentation of the volume fraction of magnesium oxide NPs led to an increased amount of HTR and EGE. Furthermore, any changes to the MGF and the enclosure angle imposed various effects on the HTR. The results indicated that an augmentation of the size of the blade increased and then decreased the HTR and the generated entropy. Finally, increasing the blade always increased the Be.

中文翻译：

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磁场和辐射作用下外壳中氧化镁/水纳米流体的自然对流和熵产生

本论文的作者试图通过使用 FVM 对二维和三维方形外壳中的纳米流体 (NF) 的对流热传递以及辐射和熵生成 (EGE) 进行数值研究。外壳在外壳的下角包含一个垂直椭圆象限形式的高温刀片。外壳的右边缘保持低温，而其他边缘则绝缘。外壳受到磁场 (MGF) 的影响，可以调整到不同的角度。在这项研究中，使用两个依赖于温度和体积分数的实验室关系来模拟热导率和粘度。这个问题的变量是 Ra、Ha、RAP、纳米颗粒 (NP) 体积分数、叶片纵横比、包围角和 MGF。评估这些变量对传热率 (HTR)、EGE 和 Be 的影响表明，增加 Ra 和降低 Ha 可以增加 HTR 和 EGE。另一方面，向外壳添加辐射 HTR 会增加整体 HTR。此外，氧化镁纳米颗粒体积分数的增加导致 HTR 和 EGE 的量增加。此外，MGF 和包围角的任何变化都会对 HTR 产生各种影响。结果表明，叶片尺寸的增加会增加然后减少 HTR 和生成的熵。最后，增加刀片总是增加 Be。向外壳添加辐射 HTR 增加了整体 HTR。此外，氧化镁纳米颗粒体积分数的增加导致 HTR 和 EGE 的量增加。此外，MGF 和包围角的任何变化都会对 HTR 产生各种影响。结果表明，叶片尺寸的增加会增加然后减少 HTR 和生成的熵。最后，增加刀片总是增加 Be。向外壳添加辐射 HTR 增加了整体 HTR。此外，氧化镁纳米颗粒体积分数的增加导致 HTR 和 EGE 的量增加。此外，MGF 和包围角的任何变化都会对 HTR 产生各种影响。结果表明，叶片尺寸的增加会增加然后减少 HTR 和生成的熵。最后，增加刀片总是增加 Be。