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Kinetic invariant model of dissolution with chemical reaction of large particles
Author(s) -
Bhaskarwar Ashok N.
Publication year - 1991
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690370304
Subject(s) - dissolution , kinetic energy , mass transfer , chemistry , invariant (physics) , limiting , chemical reaction , thermodynamics , reynolds number , limit (mathematics) , mathematical analysis , physics , mathematics , classical mechanics , turbulence , mathematical physics , mechanical engineering , biochemistry , engineering
The kinetic invariant model has been reformulated and an approximate analytical form of a kinetic function is obtained for the dissolution accompanied by a chemical reaction of large solid particles. A restriction on the analytical solution is provided in the form of a sufficient condition for the convergence of the series involved. Expressions for the concentration of unreacted, dissolved solid reactant, the time of complete conversion, and the ratio of driving forces available for the reaction and mass transfer steps are presented. Solutions for the rate‐limiting regimes are deduced as special cases of the general solution. The small‐particle solution is recovered as a special case in the limit of a vanishingly small Reynolds number. Rigorous numerical solution has been obtained to assess the accuracy of the pseudostationary‐state solution and to discern the validity of the approximations.