Derivation of the method of characteristics for the fluid dynamic solution of flow advection along porous wall channels
Derivation of the method of characteristics for the fluid dynamic solution of flow advection along porous wall channels
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DOI：
10.1016/j.apm.2011.09.090
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发表时间：
2012-07
影响因子：
5
通讯作者：
J. Desantes;J. Serrano;F. Arnau;P. Piqueras
中科院分区：
文献类型：
--
作者：
J. Desantes;J. Serrano;F. Arnau;P. Piqueras
本文详细介绍了一种新的特征线法公式，并将其应用于求解沿沿着多孔壁通道的一维可压缩非定常非等熵平流。特别地，该方法被实施到壁流式整体式柴油机颗粒过滤器模型中，其目的是压降预测。整体通道内的流动被认为是一维的，通过多孔壁的流动被视为一个源项，符合达西定律。在通道的内部节点处的流动动力学行为通过激波捕获方法来解决，而端部节点或边界条件通过应用特征线方法来解决。黎曼变量和熵级的本研究中导出的解包括由于传统上所述的横截面积变化、摩擦和热传递而导致的沿着时空平面的变化，但也考虑了对通过多孔壁离开或进入通道的每一条流动线的关键影响。
This paper describes in detail a novel formulation of the method of characteristics for its application to solve one-dimensional compressible unsteady non-homentropic flow advected along porous wall channels. In particular, the method is implemented into a wall-flow monolith Diesel particulate filter model whose purpose is the pressure drop prediction. The flow inside the monolith channels is considered to be one-dimensional and the flow through the porous wall treated as a source term agree with the Darcy’s law. The flow dynamic behaviour at internal nodes of the channels is solved by means of shock capturing methods, whereas the end nodes, or boundary conditions, are solved applying the method of characteristics. The derived solution in this study of the Riemann variables and the entropy level includes the variation along the space–time plane due to cross-section area changes, friction and heat transfer as traditionally stated, but also takes into account the key influence on every line of the flow leaving or entering to the channels through the porous walls.