Mathematical aspects of modeling self-oscillations of the heterogeneous catalytic reaction rate. I.
Model of pulverized coal combustion in a furnace
We describe behavior of the air-coal mixture using the Navier–Stokes equations for gas and particle phases, accompanied by a turbulence model. The undergoing chemical reactions are described by the Arrhenian kinetics (reaction rate proportional to where is temperature). We also consider the heat transfer via conduction and radiation. Moreover we use improved turbulence-chemistry interactions for reaction terms. The system of PDEs is discretized using the finite volume method (FVM) and an advection...
Monotone Iterative Methods for Finite Difference System of Reaction-Diffusion Equations.