The present study presents a comprehensive analysis of effects of porous fins on mixed convection heat transfer in lid-driven square cavities, where the top lid has the two-way movement. Porous medium with varying permeability, instead of the solid one, could widely modify its baffling effect on fluid flow and could also be utilized to control fluid flow and heat transfer. Fluid flow within the cavity was solved through the Navier–Stokes equations, while that within a saturated porous medium was governed by the Darcy–Forchheimer model. Numerical results indicate that the adding porous fins with excellent permeability could enhance heat transfer dramatically, especially for more fins. The rate of heat transfer enhancement due to an increase in Darcy number decreases, and similar trends were observed for the quantitative variations of porous fins. Besides, positions of porous fins have significant effects on fluid flow and heat transfer. The correlations of average Nusselt numbers, as functions of various governing parameters, have been proposed. The present investigations could be beneficial to the design of the microelectronic cooling through the installation of porous-alike materials or modules.

中文翻译：

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多孔翅片对盖驱动腔中混合对流和传热力学的影响：全数值建模和参数模拟

本研究综合分析了多孔翅片对盖驱动方形腔中混合对流传热的影响，其中顶盖具有双向运动。具有不同渗透率的多孔介质，而不是固体介质，可以广泛地改变其对流体流动的阻隔作用，也可用于控制流体流动和传热。腔内的流体流动通过 Navier-Stokes 方程求解，而饱和多孔介质内的流体流动由 Darcy-Forchheimer 模型控制。数值结果表明，添加具有优异渗透性的多孔翅片可以显着增强传热，特别是对于更多的翅片。由于达西数的增加，传热增强率下降，多孔翅片的数量变化也观察到类似的趋势。此外，多孔翅片的位置对流体流动和传热有显着影响。已经提出了作为各种控制参数的函数的平均努塞尔数的相关性。目前的研究可能有利于通过安装类似多孔的材料或模块来设计微电子冷却。