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Continuum theory for lumping nonlinear reactions
Author(s) -
Chou M. Y.,
Ho T. C.
Publication year - 1988
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.690340914
Subject(s) - nonlinear system , chemistry , thermodynamics , order (exchange) , reversible reaction , first order , reaction rate , function (biology) , mechanics , mathematics , physics , catalysis , quantum mechanics , organic chemistry , finance , economics , evolutionary biology , biology
A lumping procedure is proposed for continuous reaction mixtures whose components undergo nonlinear reactions. A species‐type distribution function is introduced to ensure that the lumped continuous mixture is kinetically consistent with the underlying lumped discrete mixture. It is shown that, if the mixture contains some virtually unreactive species, the lump after a long time will react at a second‐order rate. This is true as long as the underlying unlumped reactions are irreversible n th‐order with n < 2 or reversible first order. When many first‐order reversible reactions are lumped together, the apparent behavior of the lump can qualitatively look like that of a reversible reaction. Practical implications of these predictions are discussed. Some published data are reconciled in light of the present theoretical development.