NDLI: Dynamical Analysis of a Tubular Biochemical Reactor Infinite-Dimensional Nonlinear Model

Content Provider	IEEE Xplore Digital Library
Author	Laabissi, M. Winkin, J.J. Dochain, D. Achhab, M.E.
Copyright Year	2005
Description	Author affiliation: Université Chouaib Doukkali, Faculté des Sciences, Laboratoire d’Ingénierie Mathématique, (LINMA), BP 20, El Jadida, Morocco laabissi@ucd.ac.ma (Laabissi, M.)
Abstract	The existence and uniqueness of the state trajectories (limiting substrate and living biomass) are analyzed for a tubular biochemical reactor nonlinear model. It is reported that the trajectories exist on the whole (nonnegative real) time axis and the set of all physically feasible state values is invariant under the dynamics equations. This set takes into account the positivity of the state variables as well as a saturation condition on the substrate. Conditions which guarantee the existence of at least one nontrivial equilibrium profile are reported.
Starting Page	5965
Ending Page	5970
File Size	162049
Page Count	6
File Format	PDF
ISBN	0780395670
DOI	10.1109/CDC.2005.1583116
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-12-15
Publisher Place	Spain
Access Restriction	Subscribed
Rights Holder	IEEE/EUCA
Subject Keyword	Biochemical analysis Inductors Biomass Nonlinear equations Partial differential equations Boundary conditions Wastewater treatment Chemical analysis Mathematics Plugs fixed point Fixed bed tubular reactor axial dispersion biochemical reactor equilibrium profiles positive C invariance nonlinear infinite dimensional systems
Content Type	Text
Resource Type	Article

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