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Linearization of diffusion equations with chemical reaction: Generalization of Hikita‐Asai approximation
Author(s) -
Asai S.
Publication year - 1990
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450680214
Subject(s) - linearization , generalization , nonlinear system , yield (engineering) , diffusion , chemical reaction , mass transfer , mathematics , steady state (chemistry) , reaction–diffusion system , term (time) , thermodynamics , chemical equation , differential equation , mathematical analysis , chemistry , physics , quantum mechanics , biochemistry
A technique is presented for the linearization of the reaction term of the differential equations describing mass transfer accompanied by chemical reaction, which is nonlinear with respect to the concentration of a solute transferring across the interface between two phases. The proposed approximation is demonstrated to yield remarkable accuracy by the analysis of a few diffusion problems under steady and unsteady state conditions.
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