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The fast-sorption and fast-surface-reaction limit of a heterogeneous catalysis model
Discrete and Continuous Dynamical Systems-Series S ( IF 1.3 ) Pub Date : 2020-07-18 , DOI: 10.3934/dcdss.2020406
Björn Augner , , Dieter Bothe

Within this paper, we consider a heterogeneous catalysis system consisting of a bulk phase $ \Omega $ (chemical reactor) and an active surface $ \Sigma = \partial \Omega $ (catalytic surface), between which chemical substances are exchanged via adsorption (transport of mass from the bulk boundary layer adjacent to the surface, leading to surface-accumulation by a transformation into an adsorbed form) and desorption (the reverse process). Quite typically, as is the purpose of catalysis, chemical reactions on the surface occur several orders of magnitude faster than, say, chemical reactions within the bulk phase, and sorption processes are often quite fast as well. Starting from the non-dimensional version, different limit models, especially for fast surface chemistry and fast sorption at the surface, are considered. For a particular model problem, questions of local-in-time existence of strong and classical solutions and positivity of solutions are addressed.

中文翻译:

非均相催化模型的快速吸附和快速表面反应极限

在本文中,我们考虑了一个非均相催化系统,该系统由本体相$ \ Omega $(化学反应器)和活性表面$ \ Sigma = \ partial \ Omega $(催化表面)组成,化学物质之间通过吸附交换(从邻近表面的本体边界层传输质量,通过转换成吸附形式导致表面聚集)和解吸(逆过程)。通常,作为催化的目的,表面上的化学反应比本体相中的化学反应要快几个数量级,并且吸附过程通常也相当快。从无量纲模型开始,考虑了不同的极限模型,尤其是对于快速表面化学和表面快速吸附的极限模型。对于特定的模型问题,
更新日期:2020-07-18
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