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首页> 外文期刊>Special topics & reviews in porous media >ANALYTICAL STUDY OF FORCED CONVECTION IN A CHANNEL PARTIALLY FILLED WITH POROUS MATERIAL WITH EFFECT OF MAGNETIC FIELD: CONSTANT WALL HEAT FLUX
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ANALYTICAL STUDY OF FORCED CONVECTION IN A CHANNEL PARTIALLY FILLED WITH POROUS MATERIAL WITH EFFECT OF MAGNETIC FIELD: CONSTANT WALL HEAT FLUX

机译：部分填充多孔材料的通道中受磁场影响的对流的解析研究：恒定壁热通量

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摘要

The present study examines the influence of the magnetic field on the forced convective flow of a Newtonian fluid through a channel partially filled with the porous medium, assuming that channel walls are subjected to constant wall heat flux. It is also assumed that there is a porous region of equal thickness adjacent to each wall of the channel, and that flow in the porous region is governed by Brinkman extended non-Darcy flow and by Poiseuille flow in the fluid region. In view of the fully developed nature of the flow and thermal fields, the relevant partial differential equations have been reduced to linear ordinary differential equations and hence solved analytically. Effects of the parameters Darcy number (Da), porous fraction (γ_p), and the Hartmann number (M) on the velocity, the skin friction coefficient, temperature, Nusselt number, and net change in Nusselt number (△Nu~M) are discussed. Nusselt number and net change in Nusselt number (△Nu~M) increase with the Hartmann number (M).
机译：本研究研究了磁场对牛顿流体通过部分填充有多孔介质的通道的强制对流流动的影响，假设通道壁受到恒定的壁热通量。还假设在通道的每个壁附近都有一个厚度相等的多孔区域，并且该多孔区域中的流动由Brinkman扩展非达西流动和流体区域中的泊肃叶流动控制。考虑到流场和热场的充分发展的性质，相关的偏微分方程已简化为线性常微分方程，因此可以解析地求解。参数Darcy数（Da），多孔分数（γ_p）和Hartmann数（M）对速度，皮肤摩擦系数，温度，Nusselt数和Nusselt数净变化（△Nu〜M）的影响为讨论过。 Nusselt数和Nusselt数的净变化（△Nu〜M）随着Hartmann数（M）的增加而增加。

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