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Thermosolutal natural convection across an inclined square enclosure partially filled with a porous medium
Results in Physics ( IF 4.4 ) Pub Date : 2021-01-08 , DOI: 10.1016/j.rinp.2021.103821
Noureddine Hadidi , Redha Rebhi , Rachid Bennacer , Younes Menni , Houari Ameur , Giulio Lorenzini , Khaled A. Gepreel , Hijaz Ahmad

The present study is a numerical inspection of the natural convection with double diffusion in a tilted square cavity filled with a vertical bi-layered composed porous and an adjacent fluid. Isotropic and homogeneous porous layer is considered in this case study. The porous layer is saturated by an aqueous solution with a Prandtl number Pr = 7. The horizontal walls are considered impermeable and adiabatic, while uniform concentrations and temperatures are set on the vertical walls. The Thomas algorithm is employed to find a solution for the system of the governing equations. The divergence of the non-linear system is avoided by introducing under–relaxation factors. The effects of the various non-dimensional governing parameters namely the thickness of porous layer, Rayleigh number, buoyancy ratio, Lewis number, cavity inclination angle, and the thermal conductivity ratio on the thermo-solutal natural convection and the rate of mass and thermal exchange are highlighted and discussed. The predicted findings are given in terms of flow patterns, thermal fields, and iso-concentration lines. The variation of the velocity field, stream function, Sherwood number, and Nusselt number is also inspected. The numerical results show complex flow structure modifying the local transfer (Nusselt and Sherwood numbers).



中文翻译:

在部分填充有多孔介质的倾斜方形外壳上进行热固自然对流

本研究是对自然对流进行双重数值模拟的自然检验,该自然对流在充满垂直双层结构的多孔多孔流体和相邻流体的倾斜方腔中进行。在该案例研究中考虑了各向同性和均匀的多孔层。多孔层被普兰特数Pr的水溶液饱和。=7。水平壁被认为是不可渗透和绝热的,而垂直壁上设定了统一的浓度和温度。使用托马斯算法来找到控制方程组的解。通过引入欠松弛因子可以避免非线性系统的发散。各种无量纲控制参数,即多孔层的厚度,瑞利数,浮力比,刘易斯数,腔体倾角和热导率对热固性自然对流以及质量和热交换率的影响突出并讨论。根据流型,温度场和等浓度线给出了预测结果。速度场的变化,流函数,舍伍德数,还要检查Nusselt号码。数值结果表明,复杂的流动结构改变了局部传递(努塞尔特和舍伍德数)。

更新日期:2021-01-18
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