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Theoretical analysis of powder coating kinetics

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This paper presents the results of a theoretical study on the kinetics of powder coating. In a former publication, the discrete population balance for the system was reported. In the present work, the continuous version of the population balance is deduced, resulting in a Fokker-Planck-type equation describing the temporal evolution of the distribution of fines within the carriers. This distribution changes as a result of the 'convective' and 'diffusive' transfer of fines among carriers during inter-particle collisions. The numerical solution of the Fokker-Planck equation and its steady-state analytical solution are discussed. The moments of the distribution are analyzed and, in particular, the equation expressing the change with time of the second-order moment is used to describe the evolution of the quality of the mixture throughout the process. This permits the evaluation of the kinetic constant as a function of the parameters of the model.

Affiliations: 1: Department of Chemical Engineering, University of Osaka Prefecture, 4-804 Mozu-ume machi, Sakai 591, Japan


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