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A closed-form solution of population-balance models for the dissolution of polydisperse mixtures
- Source :
- Chemical Engineering Journal. 87:275-284
- Publication Year :
- 2002
- Publisher :
- Elsevier BV, 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.
- Subjects :
- education.field_of_study
Solid particle
Chemistry
General Chemical Engineering
Kinetics
Population
dissolution
Thermodynamics
closed-form solution
population-balance equations
General Chemistry
Industrial and Manufacturing Engineering
Nonlinear system
Particle-size distribution
Environmental Chemistry
Fundamental Resolution Equation
Closed-form expression
education
Dissolution
Subjects
Details
- ISSN :
- 13858947
- Volume :
- 87
- Database :
- OpenAIRE
- Journal :
- Chemical Engineering Journal
- Accession number :
- edsair.doi.dedup.....9885db177b01cb68c7d961886a1abf75