Upscaling diffusion-reaction in porous media
Upscaling diffusion-reaction in porous media
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DOI：
10.1007/s00707-020-02631-9
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发表时间：
2020-02-25
期刊：
影响因子：
2.7
通讯作者：
Moyne, C.
中科院分区：
文献类型：
--
作者：
Bourbatache, M. K.;Millet, O.;Moyne, C.
在这项工作中，我们提出的轮廓的周期均匀化的扩散方程的化学反应在界面上，不同数量级的达姆科勒数。对于大的Damkohler数的值，得到一个非经典的均匀化模型，其中均匀化的扩散张量是强烈耦合的化学反应速率。这种均质化模型特别适合于在宏观水平上描述在孔隙界面处具有强化学反应的扩散。本文的目的是突出不同制度之间的过渡扩散反应的数量级的达姆科勒数。在本工作的最后一部分，我们首先考虑两个平行板之间的一个简单的分析例子，以了解不同的可能的扩散反应制度之间的过渡。最后，对更复杂的二维基本单元进行了数值模拟。
In this work, we present the outlines of the periodic homogenization of the diffusion equation with chemical reaction at the interface, for different orders of magnitude of the Damkohler number. For large values of the Damkohler number, a non-classical homogenized model is obtained, where the homogenized diffusion tensor is strongly coupled with the chemical reaction rate. This homogenized model is particularly well adapted to describe, at the macroscopic level, diffusion with strong chemical reactions at the pore interfaces. The aim of this article is to highlight the transition between different regimes of diffusion-reaction according to the order of magnitude of the Damkohler number. In the last part of this work, we first consider a simple analytical example between two parallel plates, to understand the transition between the different possible regimes of diffusion-reaction. Finally, numerical simulations are performed on more complex two-dimensional elementary cells.