Simple numerical scheme for solving the impregnation equations in a porous pellet

TL;DR

This paper introduces a simple numerical scheme for solving convection-reaction-diffusion equations in porous pellets, effectively modeling catalyst impregnation with a moving front, and demonstrates its accuracy through numerical examples.

Contribution

A novel numerical scheme that handles moving boundary conditions in impregnation equations for porous catalysts, improving solution accuracy and computational efficiency.

Findings

The scheme accurately models the moving front in impregnation processes.

Numerical examples confirm the scheme's effectiveness and stability.

The method simplifies solving complex convection-reaction-diffusion systems.

Abstract

This paper proposes a numerical scheme for solving a system of convection-reaction-diffusion equations describing the process of preparing a catalyst on a porous support by the impregnation method. In the case of a considered porous spherical pellet, the equations are defined on an interval, one end of which, associated with the front of the impregnating liquid, moves according to a given law. The law of front motion is used to create a consistent space-time grid for discretizing the system. Examples of numerical solutions of the impregnation problem are given, demonstrating the effectiveness of the proposed scheme.