✦ LIBER ✦

Lumping coupled nonlinear reactions in continuous mixtures

✍ Scribed by M. Y. Chou; T. C. Ho

Publisher: American Institute of Chemical Engineers
Year: 1989
Tongue: English
Weight: 500 KB
Volume: 35
Category: Article
ISSN: 0001-1541
DOI: 10.1002/aic.690350403

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✦ Synopsis

A lumping procedure proposed previously is applied to two types of continuous reaction mixtures: one in which the constituents undergo reactions of a Langmuir-Hinshelwood (LH) type, the other in which the constituents undergo reactions of a bimolecular type. It is shown that both mixtures initially can behave qualitatively like lumped first-order reactions. At large times, the behavior of the lumps can be described by power law kinetics, with the bimolecular lump displaying a higher overall reaction order. In particular, if the feed contains a nonzero amount of unconvertible species, the LH lump at large times decays at a secondorder rate, whereas the bimolecular lump decays at a third-order rate.

To complement the asymptotic results, expressions describing the behavior of the lumps at any time are derived.

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