Numerical simulations for two-dimensional reaction-diffusion problems with formation of multiple dead zones
For chemical engineers modeling reactors, this demonstrates the possibility of multiple dead zones, which is a specific geometric insight.
The paper numerically solves a 2D reaction-diffusion problem with power-law kinetics, showing that multiple dead zones can form in certain reactor geometries. The effects of reaction order and Thiele modulus on dead zone size are investigated.
The paper deals with dead-core solutions to an isothermal reaction-diffusion problem with power-law kinetics for a single reaction that takes place in a chemical reactor represented by a bounded domain in two dimensions. The model boundary value problem for the stationary non-linear diffusion-reaction equation is solved numerically using an appropriate time-marching method. The spatial discretization is based on the lumped finite element method for piecewise linear functions. The effects of the reaction order and Thiele modulus on the concentration profiles and the size of dead zones are investigated numerically. The paper demonstrates that the formation of multiple dead zones is possible for particular reactor geometries.