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Derivation of the method of characteristics for the fluid dynamic solution of flow advection along porous wall channels

机译：沿多孔壁通道的对流流体动力解的特性方法推导

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摘要

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 paniculate 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.
机译：本文详细描述了一种新的特性方法公式，用于解决沿多孔壁通道平流的一维可压缩非定常非垂直流。特别地，该方法被实施到壁流式整体式柴油颗粒过滤器模型中，该模型的目的是预测压降。整体通道内部的流动被认为是一维的，通过多孔壁的流动被视为源项符合达西定律。通道内部节点处的流动动力学行为是通过冲击捕获方法解决的，而末端节点或边界条件则是通过特征方法解决的。这项研究的黎曼变量和熵水平的推导解包括传统上所述的横截面积变化，摩擦和热传递沿时空平面的变化，但也考虑了对每条线的关键影响通过多孔壁离开或进入通道的流体的流量。

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