Abstract This paper presents an investigation of flow and heat transfer in a large diameter (6.25 in) cylindrical enclosure heated laterally and containing a porous block that simulates the basket of nutrients used in a crystal growth reactor. The numerical model entails the use of a commercially available computational engine provided by ANSYS FLUENT, and based on a two-dimensional (2D) axisymmetric Reynolds-averaged Navier Stokes (RANS) equations. The porous medium is simulated using the Brinkman-extended model accounting for the Darcy and Forchheimer induced pressure drops. The porous ‘plug’ effects are analyzed as both its permeability/inertial resistance and locations in the reactor are changed on a parametric basis, while the Rayleigh number ( Ra = g β Δ TL 3 ν α ) is kept constant at 1.98 × 10 9 . Additionally, the effect of different ratios of the hot to the cold zone lengths are investigated as a part of the current effort. For all cases, the velocity and temperature distributions in the reactor are analyzed together with the flow patterns in, and around the porous block. A comprehensive discussion is provided with regard to the effects of the position of the porous block and its permeability on both the immediately adjacent, and far flows. The consequences on the temperature distribution in the enclosure, when the ratio of the length of the hot-to-cold zones is changed, are also analyzed.

中文翻译：

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用于晶体生长的横向加热圆柱形外壳中不同渗透率和位置的多孔介质的数值模拟

摘要 本文介绍了大直径（6.25 英寸）圆柱形外壳中的流动和传热研究，该外壳横向加热并包含模拟晶体生长反应器中使用的营养物篮的多孔块。数值模型需要使用 ANSYS FLUENT 提供的商用计算引擎，并基于二维 (2D) 轴对称雷诺平均纳维斯托克斯 (RANS) 方程。多孔介质使用 Brinkman 扩展模型进行模拟，该模型考虑了 Darcy 和 Forchheimer 引起的压降。分析多孔“塞”效应，因为其渗透率/惯性阻力和在反应器中的位置都在参数基础上发生变化，而瑞利数 (Ra = g β Δ TL 3 ν α ) 保持恒定在 1.98 × 10 9 . 此外，作为当前努力的一部分，研究了热区与冷区长度的不同比率的影响。对于所有情况，反应器中的速度和温度分布与多孔块内部和周围的流动模式一起被分析。全面讨论了多孔块的位置及其渗透率对紧邻和远流的影响。还分析了当热区与冷区的长度比改变时对外壳内温度分布的影响。对多孔块的位置及其渗透性对紧邻和远流的影响进行了全面的讨论。还分析了当热区与冷区的长度比改变时对外壳内温度分布的影响。全面讨论了多孔块的位置及其渗透率对紧邻和远流的影响。还分析了当热区与冷区的长度比改变时对外壳内温度分布的影响。