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Double Diffusion From Sources In Porous Media

机译:来自多孔介质的来源的双重扩散

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摘要

An analytical study on both the Darcian and non-Darcian natural convection heat and mass transfer from point and horizontal line sources in saturated porous medium is reported in this paper. Convective flows are promoted by the density variation due to joint action of temperature and concentration gradients across plumes. Two mechanisms of diffusion, namely, molecular diffusion and hydrodynamic dispersion are characteristic for transport phenomena in porous media. Detailed scale analysis of coupled heat and mass transfer from a point or a horizontal line source in an infinite saturated porous medium is used to determine control parameters and scales of the plume transport characteristics from the governing equations in accordance with the relative contribution of the molecular diffusion and dispersion. Conservation equations are shown to have the closed-form solutions for the limiting cases of predominant manifestation whether molecular or hydrodynamic dispersion when L_e=l or the characteristic scales of the mixing lengths for heat and mass transfer are the same. Closed-form solutions are presented for the Darcy and non-Darcy natural convection for both point and line sources.
机译:本文报道了对Darcian和非Darcian自然对流热量和饱和多孔介质中水平线源的分析研究。由于脉冲的温度和浓度梯度的关节作用,密度变异促进了对流流。两种扩散机制,即分子扩散和流体动力分散体是多孔介质中运输现象的特征。从无限饱和多孔介质中的点或水平线源的耦合热量和质量传递的详细规模分析用于根据分子扩散的相对贡献来确定从控制方程的羽流传输特性的控制参数和尺度和分散。节省保护方程具有用于限制性案例的闭合溶液,其主要表现在L_E = L或热量传递的混合长度的特征尺度时的分子或流体动力学分散。为两点和线路源提供达西和非达西自然对流的封闭式解决方案。

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