A model of carbon dioxide dissolution and mineral carbonation kinetics
The kinetics of the dissolution of carbon dioxide in water and subsequent chemical reactions through to the formation of calcium carbonate, a system of reactions integral to carbon sequestration and anthropogenic ocean acidification, is mathematically modelled using the mass action law. This group o...
Published in: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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2010
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Online Access: | https://research.manchester.ac.uk/en/publications/9d0e2612-83c0-4424-949a-9f061a2d7cff https://doi.org/10.1098/rspa.2009.0349 http://rspa.royalsocietypublishing.org/content/466/2117/1247.full.pdf |
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ftumanchesterpub:oai:pure.atira.dk:publications/9d0e2612-83c0-4424-949a-9f061a2d7cff 2024-06-23T07:55:48+00:00 A model of carbon dioxide dissolution and mineral carbonation kinetics Mitchell, Mark J. Jensen, Oliver E. Cliffe, K. Andrew Maroto-Valer, M. Mercedes 2010-05-08 https://research.manchester.ac.uk/en/publications/9d0e2612-83c0-4424-949a-9f061a2d7cff https://doi.org/10.1098/rspa.2009.0349 http://rspa.royalsocietypublishing.org/content/466/2117/1247.full.pdf eng eng https://research.manchester.ac.uk/en/publications/9d0e2612-83c0-4424-949a-9f061a2d7cff info:eu-repo/semantics/closedAccess Mitchell , M J , Jensen , O E , Cliffe , K A & Maroto-Valer , M M 2010 , ' A model of carbon dioxide dissolution and mineral carbonation kinetics ' , Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , vol. 466 , no. 2117 , pp. 1265-1290 . https://doi.org/10.1098/rspa.2009.0349 Asymptotic analysis Calcium carbonate Carbon dioxide dissolution Carbon sequestration Ocean acidification Reaction kinetics article 2010 ftumanchesterpub https://doi.org/10.1098/rspa.2009.0349 2024-06-04T00:08:05Z The kinetics of the dissolution of carbon dioxide in water and subsequent chemical reactions through to the formation of calcium carbonate, a system of reactions integral to carbon sequestration and anthropogenic ocean acidification, is mathematically modelled using the mass action law. This group of reactions is expressed as a system of five coupled nonlinear ordinary differential equations, with 14 independent parameters. The evolution of this system to equilibrium at 25?C and 1 atm, following an instantaneous injection of gaseous carbon dioxide, is simulated. An asymptotic analysis captures the leading-order behaviour of the system over six disparate time scales, yielding expressions for all species in each time scale. These approximations show excellent agreement with simulations of the full system, and give remarkably simple formulae for the equilibrium concentrations. This journal is © 2009 The Royal Society. Article in Journal/Newspaper Ocean acidification The University of Manchester: Research Explorer Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466 2117 1265 1290 |
institution |
Open Polar |
collection |
The University of Manchester: Research Explorer |
op_collection_id |
ftumanchesterpub |
language |
English |
topic |
Asymptotic analysis Calcium carbonate Carbon dioxide dissolution Carbon sequestration Ocean acidification Reaction kinetics |
spellingShingle |
Asymptotic analysis Calcium carbonate Carbon dioxide dissolution Carbon sequestration Ocean acidification Reaction kinetics Mitchell, Mark J. Jensen, Oliver E. Cliffe, K. Andrew Maroto-Valer, M. Mercedes A model of carbon dioxide dissolution and mineral carbonation kinetics |
topic_facet |
Asymptotic analysis Calcium carbonate Carbon dioxide dissolution Carbon sequestration Ocean acidification Reaction kinetics |
description |
The kinetics of the dissolution of carbon dioxide in water and subsequent chemical reactions through to the formation of calcium carbonate, a system of reactions integral to carbon sequestration and anthropogenic ocean acidification, is mathematically modelled using the mass action law. This group of reactions is expressed as a system of five coupled nonlinear ordinary differential equations, with 14 independent parameters. The evolution of this system to equilibrium at 25?C and 1 atm, following an instantaneous injection of gaseous carbon dioxide, is simulated. An asymptotic analysis captures the leading-order behaviour of the system over six disparate time scales, yielding expressions for all species in each time scale. These approximations show excellent agreement with simulations of the full system, and give remarkably simple formulae for the equilibrium concentrations. This journal is © 2009 The Royal Society. |
format |
Article in Journal/Newspaper |
author |
Mitchell, Mark J. Jensen, Oliver E. Cliffe, K. Andrew Maroto-Valer, M. Mercedes |
author_facet |
Mitchell, Mark J. Jensen, Oliver E. Cliffe, K. Andrew Maroto-Valer, M. Mercedes |
author_sort |
Mitchell, Mark J. |
title |
A model of carbon dioxide dissolution and mineral carbonation kinetics |
title_short |
A model of carbon dioxide dissolution and mineral carbonation kinetics |
title_full |
A model of carbon dioxide dissolution and mineral carbonation kinetics |
title_fullStr |
A model of carbon dioxide dissolution and mineral carbonation kinetics |
title_full_unstemmed |
A model of carbon dioxide dissolution and mineral carbonation kinetics |
title_sort |
model of carbon dioxide dissolution and mineral carbonation kinetics |
publishDate |
2010 |
url |
https://research.manchester.ac.uk/en/publications/9d0e2612-83c0-4424-949a-9f061a2d7cff https://doi.org/10.1098/rspa.2009.0349 http://rspa.royalsocietypublishing.org/content/466/2117/1247.full.pdf |
genre |
Ocean acidification |
genre_facet |
Ocean acidification |
op_source |
Mitchell , M J , Jensen , O E , Cliffe , K A & Maroto-Valer , M M 2010 , ' A model of carbon dioxide dissolution and mineral carbonation kinetics ' , Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , vol. 466 , no. 2117 , pp. 1265-1290 . https://doi.org/10.1098/rspa.2009.0349 |
op_relation |
https://research.manchester.ac.uk/en/publications/9d0e2612-83c0-4424-949a-9f061a2d7cff |
op_rights |
info:eu-repo/semantics/closedAccess |
op_doi |
https://doi.org/10.1098/rspa.2009.0349 |
container_title |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
container_volume |
466 |
container_issue |
2117 |
container_start_page |
1265 |
op_container_end_page |
1290 |
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1802648522720280576 |