Solving Linear Diffusion-Reaction Networks in Porous Catalyst Particles using BEM

Abstract

Multiple dioeusion reactions are frequently encountered in the modeling of heterogeneous catalytic reactors. Obtaining an accurate estimate of the yield and selectivity in such reactions is crucial for an optimal design of reactors. Due to the inadequacy of analytical techniques in handling non-uniform catalyst shapes and mixed boundary conditions, numerical techniques are often employed to compute these design parameters. Among other numerical techniques, the boundary element method (BEM) is a superior method to solve linear diffusion reaction problems. The integral nature of the BEM formulation allows for boundary only discretization of the particle thus reducing the computer execution time and the data preparation eoeort. In this work, a boundary element algorithm is developed to solve a network of linear dioeusion reactions in porous catalyst particles in two dimensions. For this purpose a matrix of fundamental solutions is defined and derived. The developed algorithm is applied to ..