非均匀介质中一级反应网络耦合多组分扩散的有限过渡时间
Finite transition times for multispecies diffusion in heterogeneous media coupled via first-order reaction networks
摘要：
计算耦合多组分反应扩散输运过程在非均匀介质中有效达到稳态所需的时间在许多应用中是重要的。在本文中，我们将展示如何过渡到一个小的指定的公差内的稳态过程所需的时间可以准确地计算，而不必解决管理的时间依赖性模型方程。我们的方法是有效的一般一级反应网络和任意数量的物种。三个数值例子来证实分析和调查的有效性的方法。一个关键的发现是，对于顺序反应，我们的方法更好地提供了两个最小的反应速率很好地分开。MATLAB代码实现的方法和再现的结果，在文件中提供。
英文摘要：
Calculating how long a coupled multi-species reactive-diffusive transport process in a heterogeneous medium takes to effectively reach steady state is important in many applications. In this paper, we show how the time required for such processes to transition to within a small specified tolerance of steady state can be calculated accurately without having to solve the governing time-dependent model equations. Our approach is valid for general first-order reaction networks and an arbitrary number of species. Three numerical examples are presented to confirm the analysis and investigate the efficacy of the approach. A key finding is that for sequential reactions our approach works better provided the two smallest reaction rates are well separated. MATLAB code implementing the methodology and reproducing the results in the paper is made available.
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