Effect of Constant Magnetic Field on Convective Heat Transfer through Anisotropic River Beds

J. Yovogan, G. Degan, L. Fagbemi
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引用次数: 3

Abstract

An analytical investigation is conducted to study the effect of magnetic field on convection heat transfer through packed porous beds which consists of a horizontal fluid layer (river bed) and a porous zone with anisotropic permeability and underlined by a surface heated by a constant temperature T1. The free surface of the fluid layer overlying the horizontal porous layer receives solar rays to length of day and is then considered heated isothermally at temperature T2 such as T1 < T2. Flow in porous medium is assumed to be governed by the generalized Brinkman-extended Darcy law and in the fluid layer by the Navier-Stokes model. The Beavers-Joseph condition is applied at the interface between the two layers. The influence of Hartmann number and hydrodynamic anisotropy on the convective phenomenon is investigated analytically. It is found that the magnetic field, the anisotropic permeability and the thickness of the porous lining, e, have a strong influence of the geothermal convective flow and the heat transfer rate.
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恒定磁场对各向异性河床对流换热的影响
进行了一项分析研究,以研究磁场对填充多孔床对流换热的影响。填充多孔床由水平流体层(河床)和具有各向异性渗透率的多孔区组成,并以恒定温度T1加热的表面为重点。覆盖在水平多孔层上的流体层的自由表面接收太阳射线至一天的长度,然后被认为在温度T2(例如T1<T2)下被等温加热。假设多孔介质中的流动由广义Brinkman扩展达西定律控制,流体层中的流动则由Navier-Stokes模型控制。Beavers-Josef条件应用于两层之间的界面。分析了哈特曼数和流体力学各向异性对对流现象的影响。研究发现,磁场、各向异性渗透率和多孔衬里厚度e对地热对流和传热速率有很大影响。
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