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Comprehensive investigation of solid and porous fins influence on natural convection in an inclined rectangular enclosure

机译:固体和多孔翅片对倾斜矩形罩中自然对流影响的综合研究

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A numerical analysis has been performed to investigate two-dimensional natural convection inside a differentially heated inclined rectangular enclosure with several porous fins attached to the hot wall. Various parameters were studied including Rayleigh number (10(3) = Ra = 10(6)), Darcy number. (10(-8) = Da = 10(-2)), relative thermal conductivity ratio of solid phase to fluid (1 = K-e = 100), cavity inclination angle (0 = phi = pi/3), cavity aspect ratio (AR = 2:1 and 3:1), fin number (0 = N = 4), dimensionless fin position (0.25 = S = 0.75) and dimensionless fin length (0.25 = L = 0.75). Left vertical wall is maintained at a higher temperature T-h, while the right vertical wall is kept at lower temperature T-c and horizontal walls are insulated. Cavity is filled with an incompressible Newtonian fluid with Prandtl number of 0.71. Fins with length of l(f) are attached to the hot vertical wall. Due to a small temperature difference between the hot and cold vertical walls, all of the thermo-physical properties, except the density variation in the body force term, which is modeled using the Boussinesq approximation, are assumed constant. Governing steady state equations for mass, momentum and energy within the porous fin is based on volume-averaging method and the finite volume code based on SIMPLE method was utilized in the present investigation to solve the governing equations. The investigated results illustrated that using several conductive porous fins, increase the average Nusselt number within the cavity up to 41% compared to enclosures with solid fins and up to 20% compared to cavities without any fins. Furthermore, it was found that increasing heat transfer using more porous fins highly depends on the relative thermal conductivity ratio of solid phase to fluid and rising the thermal conductivity ratio from 10 to 100, results in 17% of heat transfer enhancement. It was found that Da = 10(-5) is a limit for positive performance of the porous fins, below which no heat transfer enhancement occurs compared to cavities with solid fins. Optimum porous fin length was found to be a decreasing function of Rayleigh number. (C) 2018 Elsevier Ltd. All rights reserved.
机译:已经进行了数值分析,以研究在差热加热的倾斜矩形壳体内的二维自然对流,该壳体内有几个多孔翅片附接到热壁上。研究了各种参数,包括瑞利数(10(3)<= Ra <= 10(6)),达西数。 (10(-8)<= Da <= 10(-2)),固相与流体的相对热导率比(1 <= Ke <= 100),腔体倾斜角(0 <= phi <= pi / 3 ),型腔长宽比(AR = 2:1和3:1),鳍片数量(0 <= N <= 4),无量纲的鳍片位置(0.25 <= S <= 0.75)和无量纲的鳍片长度(0.25 <= L <= 0.75)。左垂直壁保持在较高的温度T-h,而右垂直壁保持在较低的温度T-c,水平壁绝缘。腔中充满了不可压缩的牛顿流体,其普朗特数为0.71。长度为l(f)的鳍片附着在热的垂直壁上。由于冷热垂直壁和冷垂直壁之间的温差很小,因此,除了使用Boussinesq近似建模的体力项中的密度变化以外,所有热物理特性都假定为恒定。基于体积平均法控制多孔翅片内质量,动量和能量的稳态方程,并利用基于SIMPLE方法的有限体积码来求解控制方程。研究结果表明,使用多个导电多孔鳍片,与带有实心鳍片的外壳相比,腔体内的平均Nusselt数最多可增加41%,而与不带任何鳍片的腔室相比,最多可增加20%。此外,发现使用更多的多孔翅片来增加热传递高度依赖于固相与流体的相对热导率比,并且将热导率比从10提高到100,导致热传递增强17%。已发现,Da = 10(-5)是多孔翅片正向性能的极限,与具有固体翅片的腔相比,多孔翅片的正向性能没有极限。发现最佳的多孔翅片长度是瑞利数的递减函数。 (C)2018 Elsevier Ltd.保留所有权利。

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