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Gas absorption with zero‐order chemical reaction
Author(s) -
Riazi Mohammed,
Faghri Amir
Publication year - 1985
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.690311206
Subject(s) - hypergeometric function , confluent hypergeometric function , absorption (acoustics) , generalized hypergeometric function , chemistry , penetration (warfare) , homogeneous , mathematical analysis , laminar flow , zero order , mathematics , zero (linguistics) , differential equation , hypergeometric function of a matrix argument , separation of variables , thermodynamics , analytical chemistry (journal) , first order , physics , partial differential equation , chromatography , optics , linguistics , philosophy , operations research
The governing differential equation for gas absorption in laminar falling film with zero‐order homogeneous reaction is solved analytically by the method of separation of variables, and subsequent solution with confluent hypergeometric function. The result for concentration profile was obtained in the forms of a sum of a polynomial and an infinite series of hypergeometric functions. An enhancement factor, E , is defined as the ratio of the calculated absorption rates and the absorption rates found from a simple penetration model. When the Hatta number, \documentclass{article}\pagestyle{empty}\begin{document}$ \sqrt {M'} $\end{document} is greater than 2, the enhancement factor is given by a simplified form with an error of less than 2%.