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Abstract
A population-balance model, involving a set of coupled rate equations, is formulated to represent the agglomeration of fused ash droplets on the surface of an oxidizing char particle. Numerical solutions reproduce several features and trends obtained previously by Monte Carlo simulation. The present formulation identifies the key aspect of this phenomenology, namely the competition between the relaxation to a steady-state surface-droplet distribution and the departure from this steady state due to the increasing curvature of the particle perimeter. A principal consequence of this competition is that the mean surface-droplet diameter is predicted to exhibit an inflection point when plotted as a function of particle radius or fractional conversion.
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