Alhashash Abeer
Department of Mathematics, College of Science, Jouf University, P.O. Box 2014, Sakaka, Saudi Arabia.
Sci Rep. 2020 Jan 10;10(1):143. doi: 10.1038/s41598-019-57062-x.
Natural convection of nanoliquid in a square porous enclosure has been studied using non homogeneous two-phase Buongiorno's model. The outer of enclosure has cold temperature and a circular cylinder is put at the center. A finite heated segment is located on the top cylinder surface which is otherwise insulated. The momentum in the porous layer is modeled applying the Brinkman-Forchheimer equations. The analysis are conducted in the following interval of the associated groups: the portion of heated surface (5% ≤ H ≤ 100%), the concentration (0.0 ≤ ϕ ≤ 0.04), the Darcy number, 10 ≤ D ≤ 10 and the cylinder size, (0.15 ≤ R ≤ 0.25). The minimum heat transfer rate of the active surface were obtained at location ξ = 90°. In general, the ratio of the heat transfer per unit area of the heat source decreases as the length of the heated surface increases. The heat transfer rate is intensified for the half thermally active surface and high value of Darcy number at higher nanoparticles concentration.
使用非均匀两相布翁焦尔诺模型研究了方形多孔腔内纳米流体的自然对流。腔体外温度较低，中心放置一个圆柱体。在顶部圆柱体表面有一个有限的加热段，其余部分隔热。多孔层中的动量采用布林克曼 - 福希海默方程进行建模。分析在相关参数的以下区间内进行：加热表面比例（5%≤H≤100%）、浓度（0.0≤ϕ≤0.04）、达西数，10≤D≤10以及圆柱体尺寸，（0.15≤R≤0.25）。在ξ = 90°处获得了有源表面的最小传热速率。一般来说，随着加热表面长度增加，热源单位面积的传热比降低。对于半热活性表面以及在较高纳米颗粒浓度下达西数较高时，传热速率会增强。
