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Equilibrium Theory–Based Analysis of Nonlinear Waves in Separation Processes

Equilibrium Theory–Based Analysis of Nonlinear Waves in Separation Processes Different areas of engineering, particularly separation process technology, deal with one-dimensional, nonstationary processes that under reasonable assumptions, namely negligible dispersion effects and transport resistances, are described by mathematical models consisting of systems of first-order partial differential equations. Their behavior is characterized by continuous or discontinuous composition (or thermal) fronts that propagate along the separation unit. The equilibrium theory (i.e., the approach discussed here to determine the solution to these model equations) predicts this with remarkable accuracy, despite the simplifications and assumptions. Interesting applications are in adsorption, chromatography and ion-exchange, distillation, gas injection, heat storage, sedimentation, precipitation, and dissolution waves. We show how mathematics can enlighten the engineering aspects, and we guide the researcher not only to reach a synthetic understanding of properties of fundamental and applicative interest but also to discover new, unexpected, and fascinating phenomena. The tools presented here are useful to teachers, researchers, and practitioners alike. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annual Review of Chemical and Biomolecular Engineering Annual Reviews

Equilibrium Theory–Based Analysis of Nonlinear Waves in Separation Processes

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Publisher
Annual Reviews
Copyright
Copyright © 2013 by Annual Reviews. All rights reserved
ISSN
1947-5438
eISSN
1947-5446
DOI
10.1146/annurev-chembioeng-061312-103318
pmid
23452170
Publisher site
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Abstract

Different areas of engineering, particularly separation process technology, deal with one-dimensional, nonstationary processes that under reasonable assumptions, namely negligible dispersion effects and transport resistances, are described by mathematical models consisting of systems of first-order partial differential equations. Their behavior is characterized by continuous or discontinuous composition (or thermal) fronts that propagate along the separation unit. The equilibrium theory (i.e., the approach discussed here to determine the solution to these model equations) predicts this with remarkable accuracy, despite the simplifications and assumptions. Interesting applications are in adsorption, chromatography and ion-exchange, distillation, gas injection, heat storage, sedimentation, precipitation, and dissolution waves. We show how mathematics can enlighten the engineering aspects, and we guide the researcher not only to reach a synthetic understanding of properties of fundamental and applicative interest but also to discover new, unexpected, and fascinating phenomena. The tools presented here are useful to teachers, researchers, and practitioners alike.

Journal

Annual Review of Chemical and Biomolecular Engineering – Annual Reviews

Published: Jun 7, 2013

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