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Lumping nonlinear kinetics in porous catalysts: Diffusion‐reaction lumping strategy
Author(s) -
Ocone Raffaella,
Astarita Gianni
Publication year - 1993
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.690390209
Subject(s) - kinetics , nonlinear system , diffusion , perturbation (astronomy) , reaction–diffusion system , porosity , catalysis , chemistry , thermodynamics , chemical kinetics , simple (philosophy) , thiele modulus , mathematics , physics , classical mechanics , organic chemistry , philosophy , epistemology , quantum mechanics
Nonlinear kinetics in multicomponent mixtures are best described in terms of continuous distribution functions. The quasilinearization procedure that we introduced in 1988 for “uniform” kinetics does not carry over to problems where second‐order derivatives appear, as in all cases where diffusion phenomena are of importance. We analyze a simple diffusion‐reaction problem in a porous catalyst, by making use of a perturbation technique. The general conclusions reached from this specific problem can be generalized to a wider class of diffusion‐reaction problems in complex mixtures.