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A combined method for simulating MHD convection in square cavities through localized heating by method of line and penalty-artificial compressibility
Journal of Taibah University for Science ( IF 3.3 ) Pub Date : 2021-07-15 , DOI: 10.1080/16583655.2021.1951503
Mohamed M. Mousa 1, 2 , Mohamed R. Ali 1 , Wen-Xiu Ma 3, 4, 5, 6
Affiliation  

A new combined technique is developed for studying free convection of magnetohydrodynamic unsteady incompressible flow in a square cavity that partially heated from lower wall and regular cooling from lateral walls. Convection has been studied for several lengths of heat source, Hartman and the Rayleigh numbers. The local and average Nusselt numbers are calculated and presented graphically along the heat source portion. The proposed technique is a combination of the method of lines (MOL) and a developed penalty-artificial compressibility technique (PACT). Unsteady penalty compressibility governing equations are used instead of solving steady-state balances. The penalty and artificial compressibility factors are estimated using a deduced stability restriction. The validation of the MOL-PACT is verified by comparing the current data with other numerical and experimental ones existing in the literature. The proposed technique provides a new choice through the investigation of MHD mass and heat transfer.



中文翻译:

一种基于线和罚人工压缩率法局部加热模拟方腔中MHD对流的组合方法

开发了一种新的组合技术,用于研究方腔中磁流体动力学非定常不可压缩流的自由对流,该方腔部分从下壁加热,从侧壁规则冷却。已经研究了几种长度的热源、哈特曼数和瑞利数的对流。沿热源部分计算并以图形方式显示局部和平均努塞尔数。所提出的技术是线法 (MOL) 和开发的惩罚人工可压缩性技术 (PACT) 的组合。使用不稳定惩罚可压缩性控制方程而不是求解稳态平衡。使用推导的稳定性限制来估计惩罚和人工压缩系数。MOL-PACT 的验证通过将当前数据与文献中现有的其他数值和实验数据进行比较来验证。所提出的技术通过研究 MHD 传质和传热提供了一个新的选择。

更新日期:2021-07-16
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