MODELING AND ANALYSIS OF AN ABSORPTION COLUMN CONNECTED TO A MICROALGAE CULTURE

Martinez, Carlos; Avila, Andres; Mairet, Francis; Meier, Leslie; Jeison, David

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.

Más información

Título según WOS: MODELING AND ANALYSIS OF AN ABSORPTION COLUMN CONNECTED TO A MICROALGAE CULTURE
Título de la Revista: SIAM JOURNAL ON APPLIED MATHEMATICS
Volumen: 80
Número: 2
Editorial: SIAM PUBLICATIONS
Fecha de publicación: 2020
Página de inicio: 772
Página final: 791
DOI:

10.1137/18M1225641

Notas: ISI