Shcherbakova, Nataliya and Gerbaud, Vincent
and Rodríguez-Donis, Ivonne
On the Riemannian structure of the residue curves maps.
(2015)
Chemical Engineering Research and Design, 99. 87-96. ISSN 0263-8762
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(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 2MB |
Official URL: http://dx.doi.org/10.1016/j.cherd.2015.05.029
Abstract
In this paper, we revise the structure of the residue curve maps (RCM) theory of simple evaporation from the point of view of Differential Geometry. RCM are broadly used for the qualitative analysis of distillation of multicomponent mixtures within the thermodynamic equilibrium model. Nevertheless, some of their basic properties are still a matter of discussion. For instance, this concerns the connection between RCM and the associated boiling temperature surface and the topological characterization of the distillation boundaries. In this paper we put in evidence the Riemannian metric hidden behind the thermodynamic equilibrium condition written in the form of the van der Waals–Storonkin equation, and we show that the differential equations of residue curves have formal gradient structure. We discuss the first non-trivial consequences ofthis factfor the RCM theory ofternary mixtures.
Item Type: | Article |
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Additional Information: | Thanks to Elsevier editor and Institution of Chemical Engineers. The definitive version is available at http://www.sciencedirect.com. The original PDF of the article can be found at Chemical Engineering Research and Design website : http://www.sciencedirect.com/science/journal/02638762 |
HAL Id: | hal-01200753 |
Audience (journal): | International peer-reviewed journal |
Uncontrolled Keywords: | |
Institution: | French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE) Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE) Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE) |
Laboratory name: | |
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Deposited On: | 17 Sep 2015 08:20 |
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