Modeling and analysis of an absorption column connected to a microalgae culture

Carlos Martinez, Andres Avila, Francis Mairet, Leslie Meier, DAVID ALEJANDRO JEISON NUÑEZ

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)772-791
Number of pages20
JournalSIAM Journal on Applied Mathematics
Volume80
Issue number2
DOIs
StatePublished - 2020
Externally publishedYes

Keywords

  • Absorption column
  • Biogas upgrading
  • Boundary value problem
  • Global asymptotic behavior
  • Microalgae
  • Shooting method

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