当前位置: X-MOL 学术Bound. Value Probl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Free convection inside a porous square cavity with convective boundary condition using spline functions
Boundary Value Problems ( IF 1.7 ) Pub Date : 2021-06-16 , DOI: 10.1186/s13661-021-01533-6
Sanda Micula , Ioan Pop

In this paper, we consider the problem of free convection in a square cavity filled with a porous medium with convective boundary condition on the left wall of the cavity. We first transform the governing equations transformed in terms of dimensionless variables and then solve them numerically using a cubic spline colocation method. We discuss the effects of two very important parameters, the Biot (Bi) and Rayleigh (Ra) numbers. We perform a comparison of the average Nusselt number $\overline{Nu}$ at the hot wall with results from the open literature. We can notice that the comparison is very good, which gives us strong confidence that this cubic spline collocation method works very efficiently for such problems. We also state that the present problem has not been considered before by any researcher.

中文翻译:

使用样条函数的具有对流边界条件的多孔方腔内的自由对流

在本文中,我们考虑了在充满多孔介质的方腔中的自由对流问题,在腔的左壁上具有对流边界条件。我们首先变换根据无量纲变量变换的控制方程,然后使用三次样条并置方法对它们进行数值求解。我们讨论了两个非常重要的参数,比奥 (Bi) 和瑞利 (Ra) 数的影响。我们将热壁上的平均 Nusselt 数 $\overline{Nu}$ 与公开文献的结果进行了比较。我们可以注意到对比非常好,这让我们有很强的信心,这种三次样条搭配方法对于此类问题非常有效。我们还声明,目前的问题还没有被任何研究人员考虑过。
更新日期:2021-06-17
down
wechat
bug