Second-order reversible reactions and diffusion in a slab-like medium—II. Further analysis and general results

A new, two-parameter analytical solution for the dimensionless concentration profile in steady-state, simultaneous reaction and diffusion in an isothermal slab is derived for the general reversible second-order reaction, which includes nine different specific kinetic schemes. The dimensionless conce...

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Bibliographic Details
Published in:Chemical engineering science 1992, Vol.47 (15), p.3989-3998
Main Authors: Koopman, David C., Lee, Hong H.
Format: Article
Language:English
Subjects:
Chemistry
Exact sciences and technology
General and physical chemistry
Theory of reactions, general kinetics
Theory of reactions, general kinetics. Catalysis. Nomenclature, chemical documentation, computer chemistry
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Summary:A new, two-parameter analytical solution for the dimensionless concentration profile in steady-state, simultaneous reaction and diffusion in an isothermal slab is derived for the general reversible second-order reaction, which includes nine different specific kinetic schemes. The dimensionless concentration profile and internal effectiveness factor are determined solely in terms of two dimensionless parameters: a Thiele modulus, Φ 1st and “second-order modulus”,ψ. The analysis provides semi-quantitative conditions for both diffusion-free and diffusion-limited behavior. Also revealed are results, not initially apparent, concerning the asymptotic behavior of the effectiveness factor, bounds on the mid-plane concentration, and an interrelationship between the two parameters and their meaning.
ISSN:0009-2509
1873-4405
DOI:10.1016/0009-2509(92)85148-5