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2D natural convection flows in tilted cavities: Porous media and homogeneous fluids

机译:倾斜腔中的二维自然对流流动:多孔介质和均质流体

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Natural convection flows are studied numerically for porous media and homogeneous fluids inside a rectangular cavity with inclination. These thermal fluid flows are considered under the respective two-dimensional unsteady Boussinesq approximation in stream function and vorticity variables. The study depends on the Rayleigh number, angle of inclination, and the aspect ratio of the cavity. At the validation stage our results are in good agreement with those reported by other authors. Results suppose to be new are presented either for angles of inclination not reported before or for high Rayleigh numbers with large aspect ratios. In rectangular porous cavities with Rayleigh number ≥10~2 multiple cells appear for some angles. In homogeneous fluids, for Rayleigh numbers of the order of 10~5-10~6 in large enough vertical cavities at most secondary cells appear for some angles and the flow becomes more complex and looks like to be oscillatory.
机译:对矩形倾斜腔内的多孔介质和均质流体的自然对流进行了数值研究。在流函数和涡度变量的二维非稳态Boussinesq近似下考虑这些热流体流。该研究取决于瑞利数,倾斜角度和型腔的长宽比。在验证阶段,我们的结果与其他作者的报告相吻合。对于以前未曾报道过的倾斜角度或对于具有大长宽比的高瑞利数,提出了新的结果。在瑞利数≥10〜2的矩形多孔腔中,在某些角度会出现多个单元。在均质流体中,对于瑞利数为10〜5-10〜6的数量级,在大多数二次电池中足够大的垂直腔中会出现某些角度,并且流动变得更加复杂并且看起来像是振荡的。

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