Half-range analysis of a counter-current separator
type: Item
instance of: scholarly article
title: Half-range analysis of a counter-current separator
zbMATH Open document ID: 0753.76190
DOI: 10.1016/0022-247X(91)90311-M
author: Patrick S. Hagan
author: John R. Ockendon
published in: Journal of Mathematical Analysis and Applications
publication date: 1992-09-27T00:00:00Z
review text: We analyze the mathematical model of a single-interface counter-current separator introduced by \textit{V. Fitt}, \textit{J. R. Ockendon} and \textit{M. Shillor} [Int. J. Heat Mass Transfer 28, 753-759 (1985; Zbl 0566.76104)] for relatively long reactors. For such reactors, the mathematical model, which is a forward/backward diffusion system, can be solved by eigenfunction expansions. We construct these expansions using complex variable methods developed for kinetic theory. From this analysis we obtain explicit formulas for the power of the reactor, both in terms of the average purity of the output stream and in terms of the equivalent number of theoretical plates.
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 60985
zbMATH Keywords: relatively long reactors
zbMATH Keywords: forward/backward diffusion system
zbMATH Keywords: eigenfunction expansions
zbMATH Keywords: complex variable methods
zbMATH Keywords: kinetic theory
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 60985