Transient analysis of carbon combustion in stagnation flow

Abstract

The early history of a carbón particle is studied as it is suddenly injected into a hot oxidizing atmosphere. In this early phase, a high Reynolds number approach is appropriate. Five stages characterize the processes: (1) inert stage, (2) transition stage (ignition of the heterogeneous reaction), (3) heterogeneous diffusion controlled stage, (4) homogeneous ignition, and (5) overall diffusion-controlled stage. In this last stage, the surface temperature and the regression rate reach the fínal equilibríum valúes. Using correlations for the quasi-steady gas-phase response and Green's function for the solid phase, the evolution of the surface temperature as well the regression rate are obtained.