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Analysis of mixed convection in a vertical porous layer using non-equilibrium model

机译：基于非平衡模型的垂直多孔层混合对流分析

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摘要

The problem of two-dimensional steady mixed convection in a vertical porous layer is investigated numerically in the present paper using the thermally non-equilibrium model. The vertical porous layer is assumed to have a finite isother-mally heated segment on one vertical wall which is otherwise adiabatic and the other vertical wall is cooled to a constant temperature. Non-dimensionalization of the governing equations results in four parameters for both aiding and opposing flows: (1) Ra, Rayleigh number (2) Pe, Peclet number (3) K{sub}r, thermal conductivity ratio parameter, and (4) H, heat transfer coefficient parameter. The numerical results are presented for 0.01≤H≤100, 0.01≤K{sub}r≤100, 0.01 ≤ Pe≤ 100 and Ra - 10, 50 and 100. The results show that, the thermal equilibrium model cannot predict the average Nusselt number correctly for small values of H×K{sub}r. In both the aiding and opposing flows, the total average Nusselt number is decreasing with increasing the heat transfer coefficient parameter at low values of Pe, while for high values of Pe, higher H will enhance the total heat transfer rate. Increasing the thermal conductivity ratio leads to increase in the total average Nusselt number. It is found also that the total average Nusselt number depends strongly on the thermal conductivity ratio parameter and depends slightly on the heat transfer coefficient parameter.
机译：本文利用热非平衡模型，对垂直多孔层中的二维稳态混合对流问题进行了数值研究。假定垂直多孔层在一个垂直壁上具有有限的等温加热段，否则该绝热层是绝热的，而另一垂直壁被冷却至恒定温度。控制方程的无量纲化为辅助流动和相反流动产生四个参数：（1）Ra，瑞利数（2）Pe，Peclet数（3）K {sub} r，导热系数参数和（4） H，传热系数参数。给出了0.01≤H≤100、0.01≤K {sub} r≤100、0.01≤Pe≤100和Ra-10、50和100的数值结果。结果表明，热平衡模型无法预测平均Nusselt对于较小的H×K {sub} r正确地编号。在辅助流动和相反流动中，当Pe的值较低时，总平均Nusselt数会随着传热系数参数的增加而减小，而对于Pe值较高的情况，较高的H会提高总传热速率。导热率的增加导致总平均努塞尔数的增加。还发现总的平均努塞尔数在很大程度上取决于热导率比参数，而在较小程度上取决于传热系数参数。

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