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On the Riemannian structure of the residue curves maps

Shcherbakova, Nataliya and Gerbaud, Vincent and Rodriguez-Donis, Ivonne On the Riemannian structure of the residue curves maps. (2015) Chemical Engineering Research and Design, vol. 99. pp. 87-96. ISSN 0263-8762

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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
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 - INPT (FRANCE)
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS (FRANCE)
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Deposited By: Cédric ARNAL
Deposited On:17 Sep 2015 08:20

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