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首页> 外文会议>Proceedings of the 2002 ASME Joint U.S.-European Fluids Engineering Conference >NUMERICAL TREATMENT OF THE STRESS JUMP INTERFACE CONDITION FOR LAMINAR FLOW IN A CHANNEL PARTIALLY FILLED WITH A POROUS MATERIAL
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NUMERICAL TREATMENT OF THE STRESS JUMP INTERFACE CONDITION FOR LAMINAR FLOW IN A CHANNEL PARTIALLY FILLED WITH A POROUS MATERIAL

机译：部分填充多孔材料通道中层流的应力跃变界面条件的数值处理

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A number of natural and engineering systems can be characterized by some sort of porous structure through which a working fluid permeates. Boundary layers over tropical forests and spreading of chemical contaminants through underground water reservoirs are examples of important environmental flows that can benefit form appropriate mathematical treatment. For hybrid media, involving both a porous structure and a clear flow region, difficulties arise due to the proper mathematical treatment given at the interface. The literature proposes a jump condition in which stresses at both sides of the interface are not of the same value. The objective of this paper is to present a numerical implementation for solving such hybrid medium, considering here a channel partially filled with a porous layer through which fluid flows in laminar regime. One unique set of transport equations is applied to both regions. Numerical results are compared with available analytical solutions in the literature for two cases, namely, with and without the non-linear Forchheimer term. Results are presented for the mean velocity across both the porous structure and the clear region. The influence of medium properties, such as porosity and permeability, is discussed.
机译：许多自然和工程系统的特征是某种工作流体透过的多孔结构。热带森林的边界层和通过地下水水库的化学污染物扩散是重要的环境流动的例子，这些流动可以通过适当的数学处理而受益。对于涉及多孔结构和透明流动区域的混合介质，由于在界面处进行了适当的数学处理，因此会出现困难。文献提出了一种跳变条件，其中界面两侧的应力值都不相同。本文的目的是提出一种求解此类混合介质的数值实现方法，此处考虑的是部分填充有多孔层的通道，流体在层流状态下通过该通道流动。一组唯一的输运方程式应用于这两个区域。将数值结果与文献中两种情况下的可用解析解进行了比较，分别是使用和不使用非线性Forchheimer项。给出了穿过多孔结构和透明区域的平均速度的结果。讨论了诸如孔隙度和渗透率等介质特性的影响。

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