Journal Articles SIAM Journal on Applied Mathematics Year : 2020

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

Abstract

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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Dates and versions

hal-02432325 , version 1 (08-01-2020)

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Carlos Martinez, Francis Mairet, Leslie Meier, David Jeison, Andrés Avila. Modeling and analysis of an Absorption Column Connected to a Microalgae Culture. SIAM Journal on Applied Mathematics, 2020, 80 (2), ⟨10.1137/18M1225641⟩. ⟨hal-02432325⟩
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