Concurrent growth and coarsening of spheres

A theory is developed of concurrent growth and coarsening of a dispersion o f spheres that accounts for the exchange of heat by diffusion among the sph eres due to their curvature differences and between the spheres and the env ironment due to an externally imposed heat extraction rate. The results sho w that in concurrent growth and coarsening the average particle radius asym ptotically increases with the cube root of time, which is the same behavior as in separate growth and coarsening, The growth rate constant increases l inearly with the heat extraction rate, from the LSW value in pure coarsenin g to a value that is 1.89 times larger in concurrent growth and coarsening with a heat extraction rate that just prevents particles from disappearing due to coarsening interactions. For larger heat extraction rates, coarsenin g has no effect on the particle growth rate, because the distribution becom es mono-sized. (C) 2001 Acta Materialia Inc. Published by Elsevier Science Ltd. All rights reserved.