Multiple stable equilibrium profiles in tubular bioreactors

Abdou Khadry Dramé Claude Lobry 1 Jérôme Harmand 2 Alain Rapaport 1 Frédéric Mazenc 1
1 MERE - Water Resource Modeling
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique : UMR0729
Abstract : This paper deals with the existence and stability of multiple equilibrium profiles in tubular bioreactors. We prove here that a tubular biological reactor can posses one or several equilibrium profiles according to the dispersion and convection terms as long as the kinetic function belongs to a general class of non-monotonic functions. Such systems allow the characterization of the hydrodynamic behavior of most real systems in classifying them between completely mixed systems and perfect Plug Flow systems. The stability analysis of equilibrium profiles is also carried out and it is shown that they are alternatively stable, unstable, stable, etc.
Type de document :
Article dans une revue
Mathematical and Computer Modelling, Elsevier, 2008, 48 (11-12), pp.1840-1853. 〈10.1016/j.mcm.2008.05.008〉
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https://hal.inria.fr/hal-00857818
Contributeur : Alain Rapaport <>
Soumis le : mercredi 4 septembre 2013 - 10:03:04
Dernière modification le : vendredi 12 janvier 2018 - 11:03:51

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Abdou Khadry Dramé, Claude Lobry, Jérôme Harmand, Alain Rapaport, Frédéric Mazenc. Multiple stable equilibrium profiles in tubular bioreactors. Mathematical and Computer Modelling, Elsevier, 2008, 48 (11-12), pp.1840-1853. 〈10.1016/j.mcm.2008.05.008〉. 〈hal-00857818〉

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