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A MINLP Solution for Pellet Reactor Modeling

Pibouleau, Luc and Hocine, Sofiane and Azzaro-Pantel, Catherine and Domenech, Serge A MINLP Solution for Pellet Reactor Modeling. (2007) Chemical Product and Process Modeling, 2 (3). ISSN 1538-0645

(Document in English)

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Official URL: http://www.bepress.com/cppm/vol2/iss3/7/


A fluidized bed reactor for phosphate precipitation and removal from wastewater is modeled according to a two-step procedure. The first modeling phase, based on the development of a thermodynamic model for the computation of phosphate conversion, previously presented elsewhere is not reported here. The second step is related to the reactor modeling in the core of this paper. The pellet reactor is modeled as a reactor network involving a set of elementary cells representing ideal flow patterns. All the potential solutions are imbedded into a superstructure and the modeling problem is expressed as a MINLP problem. The MINLP problem is solved by means of the GAMS package, first for two flow rate values corresponding to two experimental fluidized bed behaviours, and then for the two flow rates considered simultaneously. In each case, the problem consists in finding an output concentration as close as possible to the experimental output concentration. Three objective functions are studied. The results are compared with those of Montastruc et al. (2004) who used a different numerical procedure. Whatever the considered case, the solutions found are structurally simpler than the ones of Montastruc et al. (2004). A major assessment of this study is that the reactor efficiency can easily be deduced, without any precise knowledge of some key parameters such as the density and thickness of the calcium phosphate layer. Finally a last numerical study concerning the superstructure definition shows that too complex a superstructure does not provide significant refinements on the solution.

Item Type:Article
Additional Information:Thanks to Berkeley Electronic Press editor. The definitive version is available at http://www.bepress.com . The original PDF of the article can be found at Chemical Product and Process Modeling website : http://www.bepress.com/cppm/
HAL Id:hal-03594393
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Laboratory name:
Laboratoire de Génie Chimique - LGC (Toulouse, France) - Procédés Systèmes Industriels (PSI) - Conception Optimisation Ordonnancement des Procédés (COOP)
Deposited On:29 Oct 2008 10:37

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