A mathematical model of carbon capture by adsorption

Font Martínez, Francesc; Myers, Timothy; Hennessy, Matthew G.

doi:10.1007/978-3-030-64272-3_3

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Font Martínez, Francesc

Myers, Timothy

Hennessy, Matthew G.

Document typePart of book or chapter of book

Defense date2021-08-02

Rights accessRestricted access - publisher's policy

Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain

Abstract

We present a model to describe the capture of carbon by an adsorbing porous material occupying a circular cross-section 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

CitationFont, F.; Myers, T.; Hennessy, M. A mathematical model of carbon capture by adsorption. A: "Multidisciplinary mathematical modelling: applications of mathematics to the real world". 2021, p. 1-14.

URIhttp://hdl.handle.net/2117/357805

DOI10.1007/978-3-030-64272-3_3

Publisher versionhttps://doi.org/10.1007/978-3-030-64272-3

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