A coupling concept for two‐phase compositional porous‐medium and single‐phase compositional free flow
A coupling concept for two‐phase compositional porous‐medium and single‐phase compositional free flow
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DOI：
10.1029/2011wr010685
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发表时间：
2011-10
影响因子：
5.4
通讯作者：
K. Mosthaf;Katherina Baber;B. Flemisch;Rainer Helmig;A. Leijnse;I. Rybak;Barbara Wohlmuth
中科院分区：
文献类型：
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作者：
K. Mosthaf;Katherina Baber;B. Flemisch;Rainer Helmig;A. Leijnse;I. Rybak;Barbara Wohlmuth
由多孔部分和相邻的自由流动区域组成的域在许多应用领域中具有特殊的意义。到目前为止，自由流与多孔介质流的耦合仅被考虑用于单相系统。在这里，我们将这个经典的概念扩展到两个组分的非等温流动，其中两相在多孔介质中，一相在自由流动区域。多孔介质中流动和输运现象的数学建模通常基于达西定律，而在自由流动区域使用（Navier‐）‐Stokes方程。在本文中，我们给出了一个详细的描述所采用的子域模型。主要贡献是发展的耦合概念，它能够处理多孔介质中的组分（混相）流动和两相系统。它基于通量的连续性和热力学平衡的假设，并使用Beavers‐Joseph‐Saffman条件。现象学的解释导致一个简单的，可解的模型，占在接口的物理，详细列出。我们的模型可以占蒸发和冷凝过程中的接口，并用于模拟蒸发从土壤中的风场的影响，在第一个数值例子。
Domains composed of a porous part and an adjacent free‐flow region are of special interest in many fields of application. So far, the coupling of free flow with porous‐media flow has been considered only for single‐phase systems. Here we extend this classical concept to two‐component nonisothermal flow with two phases inside the porous medium and one phase in the free‐flow region. The mathematical modeling of flow and transport phenomena in porous media is often based on Darcy's law, whereas in free‐flow regions the (Navier‐) ‐Stokes equations are used. In this paper, we give a detailed description of the employed subdomain models. The main contribution is the developed coupling concept, which is able to deal with compositional (miscible) flow and a two‐phase system in the porous medium. It is based on the continuity of fluxes and the assumption of thermodynamic equilibrium, and uses the Beavers‐Joseph‐Saffman condition. The phenomenological explanations leading to a simple, solvable model, which accounts for the physics at the interface, are laid out in detail. Our model can account for evaporation and condensation processes at the interface and is used to model evaporation from soil influenced by a wind field in a first numerical example.