A mathematical model for non-catalytic liquid-solid reversible reactions

Detalhes bibliográficos
Autor(a) principal: Pais, F. I. C. C.
Data de Publicação: 1998
Outros Autores: Portugal, A. A. T. G.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/3851
https://doi.org/10.1016/S0098-1354(96)00372-9
Resumo: A sharp interface model has been developed for non-catalytic liquid-solid reversible reactions. It is shown that a sharp reaction interface can occur, in certain circumstances, even if the reaction is reversible. Because the pseudosteady state approximation may not be valid for liquid-solid reactions, this assumption was not made in the model. This led to the need for numerical resolution and the model was solved using orthogonal collocation both in the unreacted core and in the ash layer. Owing to the equilibrium relationship, which holds at the reaction interface, the concentrations of the liquid species are coupled at this location, resulting in a possibly non-linear set of algebraic equations that must be solved in order to evaluate concentrations at the boundaries. An analysis is made of the influence of the parameters that characterize the model. The effect of reversibility is a decrease in the driving force for diffusion.
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spelling A mathematical model for non-catalytic liquid-solid reversible reactionsNon-catalyticReversibilityDiffusionA sharp interface model has been developed for non-catalytic liquid-solid reversible reactions. It is shown that a sharp reaction interface can occur, in certain circumstances, even if the reaction is reversible. Because the pseudosteady state approximation may not be valid for liquid-solid reactions, this assumption was not made in the model. This led to the need for numerical resolution and the model was solved using orthogonal collocation both in the unreacted core and in the ash layer. Owing to the equilibrium relationship, which holds at the reaction interface, the concentrations of the liquid species are coupled at this location, resulting in a possibly non-linear set of algebraic equations that must be solved in order to evaluate concentrations at the boundaries. An analysis is made of the influence of the parameters that characterize the model. The effect of reversibility is a decrease in the driving force for diffusion.http://www.sciencedirect.com/science/article/B6TFT-3WF7NGK-C/1/2783c193f03d46c92d074dca5c9db9861998info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/3851http://hdl.handle.net/10316/3851https://doi.org/10.1016/S0098-1354(96)00372-9engComputers & Chemical Engineering. 22:3 (1998) 459-474Pais, F. I. C. C.Portugal, A. A. T. G.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-11-06T16:59:35Zoai:estudogeral.uc.pt:10316/3851Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:59:17.106396Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv A mathematical model for non-catalytic liquid-solid reversible reactions
title A mathematical model for non-catalytic liquid-solid reversible reactions
spellingShingle A mathematical model for non-catalytic liquid-solid reversible reactions
Pais, F. I. C. C.
Non-catalytic
Reversibility
Diffusion
title_short A mathematical model for non-catalytic liquid-solid reversible reactions
title_full A mathematical model for non-catalytic liquid-solid reversible reactions
title_fullStr A mathematical model for non-catalytic liquid-solid reversible reactions
title_full_unstemmed A mathematical model for non-catalytic liquid-solid reversible reactions
title_sort A mathematical model for non-catalytic liquid-solid reversible reactions
author Pais, F. I. C. C.
author_facet Pais, F. I. C. C.
Portugal, A. A. T. G.
author_role author
author2 Portugal, A. A. T. G.
author2_role author
dc.contributor.author.fl_str_mv Pais, F. I. C. C.
Portugal, A. A. T. G.
dc.subject.por.fl_str_mv Non-catalytic
Reversibility
Diffusion
topic Non-catalytic
Reversibility
Diffusion
description A sharp interface model has been developed for non-catalytic liquid-solid reversible reactions. It is shown that a sharp reaction interface can occur, in certain circumstances, even if the reaction is reversible. Because the pseudosteady state approximation may not be valid for liquid-solid reactions, this assumption was not made in the model. This led to the need for numerical resolution and the model was solved using orthogonal collocation both in the unreacted core and in the ash layer. Owing to the equilibrium relationship, which holds at the reaction interface, the concentrations of the liquid species are coupled at this location, resulting in a possibly non-linear set of algebraic equations that must be solved in order to evaluate concentrations at the boundaries. An analysis is made of the influence of the parameters that characterize the model. The effect of reversibility is a decrease in the driving force for diffusion.
publishDate 1998
dc.date.none.fl_str_mv 1998
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dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/3851
http://hdl.handle.net/10316/3851
https://doi.org/10.1016/S0098-1354(96)00372-9
url http://hdl.handle.net/10316/3851
https://doi.org/10.1016/S0098-1354(96)00372-9
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Computers & Chemical Engineering. 22:3 (1998) 459-474
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv aplication/PDF
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