DIFFUSION AND REACTION IN A STAGNANT BOUNDARY-LAYER ABOUT A CARBON PARTICLE .3. STABILITY

A simplified transient model of diffusion and reaction is considered in the stagnant boundary layer that surrounds a carbon particle during combustion. The model is used to develop local asymptotic stability criteria for analysis of the multiple steady states. A special case arises when carbon monoxide burns outside the boundary layer as the linearized conservation equations are then solvable by a finite Fourier transform. In the more general case, results are obtained by Galerkin's method. Regions of instability created by variation of the particle size and ambient oxygen concentration are presented. © 1979, American Chemical Society. All rights reserved.