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Convective fluid flow and heat transfer in a vertical rectangular duct containing a horizontal porous medium and fluid layer
International Journal of Numerical Methods for Heat & Fluid Flow ( IF 4.2 ) Pub Date : 2020-09-23 , DOI: 10.1108/hff-06-2020-0373
J.C. Umavathi , O. Anwar Beg

Purpose-A numerical analysis is presented to investigate thermally and hydrodynamically fully developed convection in a duct of rectangular cross-section containing a porous medium and fluid layer. Design/methodology/approach-The Darcy-Brinkman-Forchheimer flow model is adopted. A finite difference method of second-order accuracy with the Southwell-OverRelaxation Method (SORM) is deployed to solve the non-dimensional momentum and energy conservation equations under physically robust boundary conditions. Findings-It is found that the presence of porous structure, and different immiscible fluids exert a significant impact in controlling the flow. Graphical results for the influence of the governing parameters i.e. Grashof number, Darcy number, porous media inertia parameter, Brinkman number and ratios of viscosities, thermal expansion and thermal conductivity parameters on the velocity and temperature fields are presented. The volumetric flow rate, skin friction and rate of heat transfer at the left and right walls of the duct are also provided in tabular form. The numerical solutions obtained are validated with the published work and excellent agreement is attained. Originality/value-To the authors best knowledge this work original in developing the numerical code using FORTRAN to assess the fluid properties for immiscible fluids. The study is relevant to geothermal energy systems, thermal insulation systems, resin flow modeling for liquid composite molding processes and hybrid solar collectors.

中文翻译:

包含水平多孔介质和流体层的垂直矩形管道中的对流流体流动和传热

目的 - 提出数值分析以研究包含多孔介质和流体层的矩形横截面管道中的热和流体动力学充分发展的对流。设计/方法/途径 - 采用 Darcy-Brinkman-Forchheimer 流动模型。在物理鲁棒边界条件下,采用二阶精度的有限差分方法和索斯威尔过度松弛法 (SORM) 来求解无量纲动量和能量守恒方程。发现 - 发现多孔结构的存在和不同的不混溶流体对控制流动产生显着影响。控制参数影响的图形结果,即 Grashof 数、Darcy 数、多孔介质惯性参数、Brinkman 数和粘度比,介绍了速度和温度场的热膨胀和热导率参数。管道左右壁的体积流量、表面摩擦和传热速率也以表格形式提供。获得的数值解通过已发表的工作进行了验证,并且获得了极好的一致性。原创性/价值——据作者所知,这项工作最初是使用 FORTRAN 开发数值代码来评估不混溶流体的流体特性。该研究与地热能系统、隔热系统、液体复合成型工艺的树脂流动建模和混合太阳能集热器相关。管道左右壁的皮肤摩擦和传热率也以表格形式提供。获得的数值解通过已发表的工作进行了验证,并且获得了极好的一致性。原创性/价值——据作者所知,这项工作最初是使用 FORTRAN 开发数值代码来评估不混溶流体的流体特性。该研究与地热能系统、隔热系统、液体复合成型工艺的树脂流动建模和混合太阳能集热器相关。管道左右壁的皮肤摩擦和传热率也以表格形式提供。获得的数值解通过已发表的工作进行了验证,并且获得了极好的一致性。原创性/价值——据作者所知,这项工作最初是使用 FORTRAN 开发数值代码来评估不混溶流体的流体特性。该研究与地热能系统、隔热系统、液体复合成型工艺的树脂流动建模和混合太阳能集热器相关。原创性/价值——据作者所知,这项工作最初是使用 FORTRAN 开发数值代码来评估不混溶流体的流体特性。该研究与地热能系统、隔热系统、液体复合成型工艺的树脂流动建模和混合太阳能集热器相关。原创性/价值——据作者所知,这项工作最初是使用 FORTRAN 开发数值代码来评估不混溶流体的流体特性。该研究与地热能系统、隔热系统、液体复合成型工艺的树脂流动建模和混合太阳能集热器相关。
更新日期:2020-09-23
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