Approximate calculation of conversion with kinetic normalization for finite reaction rates in wall-coated microchannels

We consider the problem of mass transfer in a channel with wall reaction and present approximate results to describe the conversion profile. We report analytical solutions in both Graetz's and Lévêque's regime in cases where only (semi)numerical studies have been presented before. In parti...

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Bibliographic Details
Published in:AIChE journal 2011-10, Vol.57 (10), p.2870-2887
Main Authors: Lopes, J. P., Rodrigues, Alírio E., Cardoso, Silvana S.S.
Format: Article
Language:English
Subjects:
Applied sciences
Approximation
Asymptotic properties
Catalysis
Catalytic reactions
Chemical engineering
Chemical reactions
Chemistry
Conversion
Curvature
Exact sciences and technology
General and physical chemistry
Heat and mass transfer. Packings, plates
Kinetics
mass transfer
Mathematical analysis
mathematical modeling
Mathematical models
microreactors
monoliths
Reaction kinetics
reactor analysis
Reactors
Simulation
Theory of reactions, general kinetics. Catalysis. Nomenclature, chemical documentation, computer chemistry
Walls
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Summary:We consider the problem of mass transfer in a channel with wall reaction and present approximate results to describe the conversion profile. We report analytical solutions in both Graetz's and Lévêque's regime in cases where only (semi)numerical studies have been presented before. In particular, for first‐order kinetics under conditions of a fully developed concentration profile, an approximate procedure for conversion calculation is proposed for finite reaction rates. When the profile is developing, asymptotic limits are used to formulate accurate approximations in intermediate parametric ranges. Moreover, the effect of finite reaction rates in the corrections due to curvature or velocity profile nonlinearities are reported. Finally, we extend the previous results to an mth order “power‐law” wall reaction, so that kinetic normalization is achieved in suitable limits. These results are of relevance for the modeling and simulation of processes involving catalytic monoliths or microreactors. © 2011 American Institute of Chemical Engineers AIChE J, 2011
ISSN:0001-1541
1547-5905
DOI:10.1002/aic.12483