A Mathematical Model of Carbon Capture by Adsorption

Francesc Font*, Tim G. Myers, Matthew G. Hennessy

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter in a book

1 Citation (Scopus)


We present a model to describe the capture of carbon by an adsorbing porous material occupying a circular cross-sectional column. The model consists of an advection–reaction–diffusion equation for the gas concentration coupled to a simple kinetic equation describing gas adsorption on the pores. It is applicable to isothermal and isobaric gas transport with adsorption. The equations are defined in a domain with a free boundary. We obtain asymptotic solutions for large and small times and find good agreement with the numerical simulations. Our solutions show qualitative agreement with an experiment of carbon capture by adsorption in the literature.

Original languageEnglish
Title of host publicationSEMA SIMAI Springer Series
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages14
Publication statusPublished - 2021

Publication series

NameSEMA SIMAI Springer Series
ISSN (Print)2199-3041
ISSN (Electronic)2199-305X

Bibliographical note

Funding Information:
Acknowledgments Francesc Font acknowledges financial support from the Juan de la Cierva programme (grant IJC2018-038463-I) from the Spanish MICINN and from the Obra Social ‘la Caixa’ through the programme Recerca en Matemàtica Col·laborativa. The authors have been partially funded by the CERCA Programme of the Generalitat de Catalunya. Tim G. Myers acknowledges the support of Ministerio de Ciencia e Innovacion Grant No. MTM2017-82317-P. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement no. 707658. The authors thank Gloria Garcia for her contribution in the art work of the manuscript.

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.


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