This paper develops a closed-form solution for the population-balance equations describing the dissolution of, polydisperse mixtures of spherical particles in the presence of external mass-transfer resistance. The general case, obtained by relaxing the assumption of an excess concentration of fluid reactants, is also considered. In mathematical terms, this leads to a nonlinear first-order functional equation that can be solved by making use of a warped-time transformation. The inclusion of the fragmentation dynamics of solid particles occurring during the chemical dissolution process is also briefly addressed. (C) 2002 Elsevier Science B.V. All rights reserved.
A closed-form solution of population-balance models for the dissolution of polydisperse mixtures / Giona, Massimiliano; Adrover, Alessandra; Pagnanelli, Francesca; Toro, Luigi. - In: CHEMICAL ENGINEERING JOURNAL. - ISSN 1385-8947. - 87:3(2002), pp. 275-284. [10.1016/s1385-8947(01)00242-x]
A closed-form solution of population-balance models for the dissolution of polydisperse mixtures
GIONA, Massimiliano;ADROVER, Alessandra;PAGNANELLI, Francesca;TORO, Luigi
2002
Abstract
This paper develops a closed-form solution for the population-balance equations describing the dissolution of, polydisperse mixtures of spherical particles in the presence of external mass-transfer resistance. The general case, obtained by relaxing the assumption of an excess concentration of fluid reactants, is also considered. In mathematical terms, this leads to a nonlinear first-order functional equation that can be solved by making use of a warped-time transformation. The inclusion of the fragmentation dynamics of solid particles occurring during the chemical dissolution process is also briefly addressed. (C) 2002 Elsevier Science B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
