Influence of diffusion and kinetic characteristics on the combustion of a carbon particle

The spherically symmetric steady-state problem of heterogeneous combustion for a carbon particle is discussed. The exact solution of this problem is obtained. The dimensionless mass flux through the particle surface is graphically represented as a function of oxygen concentration in the external domain. The rate ratio for the diffusion process and the kinetic process is introduced as a dimensionless characteristic of the combustion process. The dimensionless mass fluxes through the particle surface are graphically represented as functions of external constitutive parameters. The resulting solution is approximated. The diffusion and kinetic modes of combustion are considered as limiting cases.