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

Carlos A. Martínez | Zendy; Andrés I. Ávila | Zendy; Francis Mairet | Zendy; Leslie Meier | Zendy; David Jeison | Zendy

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

Author(s) -

Carlos A. Martínez,

Andrés I. Ávila,

Francis Mairet,

Leslie Meier,

David Jeison

Publication year - 2020

Publication title -

siam journal on applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.954

H-Index - 99

eISSN - 1095-712X

pISSN - 0036-1399

DOI - 10.1137/18m1225641

Subject(s) - uniqueness , steady state (chemistry) , absorption (acoustics) , biogas , boundary value problem , column (typography) , term (time) , computer science , mathematics , mathematical optimization , mathematical analysis , chemistry , materials science , physics , engineering , waste management , telecommunications , frame (networking) , quantum mechanics , composite material

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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