Modeling and analysis of an Absorption Column Connected to a Microalgae Culture
- Others:
- COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)
- Biological control of artificial ecosystems (BIOCORE) ; Inria Sophia Antipolis - Méditerranée (CRISAM) ; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire d'océanographie de Villefranche (LOV) ; Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut de la Mer de Villefranche (IMEV) ; Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut de la Mer de Villefranche (IMEV) ; Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement (INRAE)
- Institut Français de Recherche pour l'Exploitation de la Mer (IFREMER)
- Universidad de la frontera [Chile]
- Escuela de Ingeniería Bioquímica [Valparaíso] ; Pontificia Universidad Católica de Valparaíso (PUCV)
- This work was supported by the project FONDECYT 1120488, by INRIA Chile-CIRIC, by the INRIA associated team Greencore, and by the INRIA Project Lab Algae in silico.
Description
We build and analyze a mathematical model of a system for biogas upgrading: an absorption column connected to a microalgae culture. The construction of the model is based on a chemical engineering approach and classical models of microalgae cultures. In our analysis, we prove the existence and uniqueness of solutions of a boundary value problem describing the absorption column. Some properties of this solution are also proved. Then, we use these results to study the long-term behavior of the mathematical model describing the coupled system. We state sufficient conditions for the existence of a globally attracting steady state characterized by the presence of microalgae. Finally, we find numerically the steady states of the system to test the efficiency of the system for purifying biogas.
Abstract
International audience
Additional details
- URL
- https://hal.archives-ouvertes.fr/hal-02432325
- URN
- urn:oai:HAL:hal-02432325v1
- Origin repository
- UNICA