Effect of anisotropic permeability on convective heat transfer through a porous river bed underlying a fluid layer
Effect of anisotropic permeability on convective heat transfer through a porous river bed underlying a fluid layer
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各向异性渗透率对通过流体层下方多孔河床的对流换热的影响
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
G. Degan
中科院分区：
文献类型：
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作者：
J. Yovogan;G. Degan
一项研究通过填充多孔床进行对流换热，填充多孔床由水平流体层（河床）和具有各向异性渗透性的多孔区域组成，其下方是加热到恒温 $$T_1$$ 的表面。覆盖水平多孔层的流体层的自由表面在温度 $$T_2$$ ($$>T_1$$) 下等温加热。使用流体层的纳维-斯托克斯模型和多孔区域的广义布林克曼扩展达西模型，为通过叠加层的完全开发的强制对流系统找到了精确的解决方案。海狸-约瑟夫条件应用于两层之间的界面。分析研究了水动力各向异性对对流现象的影响。结果表明，各向异性渗透率$$K^*$$、多孔介质主轴倾角$$varphi $$和多孔衬里厚度$$epsilon $$对对流流动和传热速率有很大影响。该分析有助于预测环境水生行为。
A study is made of convective heat transfer through packed porous beds which consist of a horizontal fluid layer (river bed) and a porous zone with anisotropic permeability and underlaid by a surface heated to a constant temperature $$T_1$$. The free surface of the fluid layer overlying the horizontal porous layer is heated isothermally at temperature $$T_2$$ ($$>T_1$$). Using the Navier–Stokes model for the fluid layer and the generalized Brinkman-extended Darcy model for the porous zone, an exact solution is found for a fully developed system of forced convective flow through the superposed layers. The Beavers–Joseph condition is applied at the interface between the two layers. The influence of hydrodynamic anisotropy on the convective phenomenon is investigated analytically. It is shown that the anisotropic permeability ratio $$K^*$$, the inclination angle of the principal axes $$varphi $$ of the porous medium, and the thickness of the porous lining $$epsilon $$ have a strong influence on the convective flow and the heat transfer rate. This analysis helps to predict environmental aquatic behavior.