论文标题

多层系统中的质量扩散:一种电气模拟方法

Mass diffusion in multilayer systems: an electrical analogue modelling approach

论文作者

Rochowski, Pawel, Pontrelli, Giuseppe

论文摘要

我们开发了一个集团的参数模型,以描述和预测大环境中任何维度的任意形状的质量释放(吸收)。通过扩散为主导的传质系统和电路之间的一对一类比,我们根据平均浓度和释放的质量提供了精确的解决方案。还给出了发布和特征时间的估计。提出的电气模拟方法允许定义时间常数,并允许对多层和多相案例进行易于扩展。将仿真结果与从相应的分析和数值解的溶液中获得的结果进行了比较,显示了良好的一致性。

We develop a lumped parameter model to describe and predict the mass release of (absorption from) an arbitrary shaped body of any dimension in a large environment. Through the one-to-one analogy between diffusion-dominated mass transfer systems and electrical circuits we provide exact solutions in terms of averaged concentrations and mass released. An estimate of the release and characteristic time is also given. The proposed electrical analogue approach allows the definition of a time constant and lets an easy extension to a multi-layer and multi-phase cases. The simulation results are compared with those obtained from the solution of the corresponding analytical and numerical solutions, showing a good agreement.

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