Modeling and Analysis of an Absorption Column Connected to a Microalgae Culture

Type Article
Date 2020
Language English
Author(s) Martinez Carlos1, Ávila Andrés2, 3, Mairet FrancisORCID4, Meier Leslie5, Jeison David6
Affiliation(s) 1 : Universite Cote d'Azur, Inria, INRA, CNRS, UPMC Universite Paris 06, Biocore Team, Sophia Antipolis, France
2 : Centro de Excelencia de Modelacion y Computacion Cientifica, Universidad de La Frontera, Temuco, Chile
3 : Institut fur Mathematik, Universitat Kassel, Kassel, Germany
4 : IFREMER Physiology and Biotechnology of Algae Laboratory, Nantes, France
5 : Department of Chemical Engineering, Universidad de La Frontera, Temuco, Chile
6 : Escuela de Ingenieria Bioquimica, Pontificia Universidad Catolica de Valparaiso, Valparaiso, Chile
Source Siam Journal On Applied Mathematics (0036-1399) (Society for Industrial & Applied Mathematics (SIAM)), 2020 , Vol. 80 , N. 2 , P. 772-791
DOI 10.1137/18M1225641
Keyword(s) biogas upgrading, absorption column, boundary value problem, global asymptotic behavior, shooting method, microalgae

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.

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