A mathematical model for non-catalytic liquid-solid reversible reactions
Autor(a) principal: | |
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Data de Publicação: | 1998 |
Outros Autores: | |
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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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 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
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 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
aplication/PDF |
dc.source.none.fl_str_mv |
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instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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