Mass diffusion in multilayer systems: an electrical analogue modelling approach

TL;DR

This paper introduces an electrical analogue model to accurately predict mass diffusion and release in multilayer systems, enabling easy extensions and providing exact solutions validated by simulations.

Contribution

A novel lumped parameter electrical analogue model for multilayer mass diffusion that simplifies analysis and extends to multi-phase systems.

Findings

Model provides exact solutions for concentration and mass release.

Simulation results agree well with analytical and numerical solutions.

Allows estimation of release and characteristic time in complex systems.

Abstract

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.