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Penetration theory for gas absorption accompanied by a second order chemical reaction
Author(s) -
Brian P. L. T.,
Hurley J. F.,
Hasseltine E. H.
Publication year - 1961
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.690070212
Subject(s) - penetration (warfare) , chemical reaction , nonlinear system , thermodynamics , mechanics , absorption (acoustics) , chemistry , mathematics , reaction rate , differential equation , partial differential equation , mathematical analysis , materials science , physics , optics , quantum mechanics , biochemistry , operations research , catalysis
The penetration‐theory solution for the effect of a second‐order irreversible liquid‐phase chemical reaction on the rate of gas absorption has been computed numerically on an IBM‐704 computer. A linearized, time‐centered, implicit finite‐difference method was used to solve the nonlinear partial‐differential equations. The method was very effective, permitting the solution of the equations for a wide range of the parameters of interest. The penetration‐theory results are compared with the film‐theory solution, and it is shown that the solutions to the two theories agree within 16% if they are compared for conditions which produce the same asymptotic solution for an infinitely rapid chemical reaction. A simplified equation and some correction charts are presented which permit a rapid, accurate estimation of the penetration‐theory solution over a wide range of variables.