The influence of the temperature increase rate on the accuracy of diffusion parameters estimated under non-isothermal conditions
Autor(a) principal: | |
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Data de Publicação: | 1997 |
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/10400.14/5951 |
Resumo: | The accuracy of the diffusion parameters estimated under non-isothermal conditions was studied using computer-generated pseudo-experimental points. The data sets were obtained from Fick's 2nd law and an Arrhenius-type temperature dependence of the diffusivity. A normally distributed error was randomly attributed to the model data. The pseudo-experimental points thus obtained were then fitted to the model equation, with non-linear regression using the Simplex algorithm, yielding the estimates of the pre-exponential factor and activation energy. Several linear temperature profiles were studied, from 0.014 to 16°C min−1. It was concluded that the accuracy of the parameters estimation depends on the temperature increase rate. The effects of the pre-exponential factor, the activation energy, the range of temperature and the magnitude of the experimental error on the value of the temperature increase rate that led to maximum accuracy of the parameters estimates were also studied. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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The influence of the temperature increase rate on the accuracy of diffusion parameters estimated under non-isothermal conditionsArrhenius equationDiffusion coefficientFactorial designFick's 2nd lawThe accuracy of the diffusion parameters estimated under non-isothermal conditions was studied using computer-generated pseudo-experimental points. The data sets were obtained from Fick's 2nd law and an Arrhenius-type temperature dependence of the diffusivity. A normally distributed error was randomly attributed to the model data. The pseudo-experimental points thus obtained were then fitted to the model equation, with non-linear regression using the Simplex algorithm, yielding the estimates of the pre-exponential factor and activation energy. Several linear temperature profiles were studied, from 0.014 to 16°C min−1. It was concluded that the accuracy of the parameters estimation depends on the temperature increase rate. The effects of the pre-exponential factor, the activation energy, the range of temperature and the magnitude of the experimental error on the value of the temperature increase rate that led to maximum accuracy of the parameters estimates were also studied.Wiley BlackwellVeritati - Repositório Institucional da Universidade Católica PortuguesaBrandão, Teresa R. S.Oliveira, Fernanda A. R.2011-10-11T11:44:30Z19971997-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.14/5951engBRANDÃO, Teresa R. S. ; OLIVEIRA, Fernanda A. R. - The influence of the temperature increase rate on the accuracy of diffusion parameters estimated under non-isothermal conditions. International Journal of Food Science & Technology. ISSN 1365-2621. Vol. 32, n.º 1 (1997), p. 63-7210.1046/j.1365-2621.1997.00375.xinfo: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:RCAAP2023-07-12T17:10:57Zoai:repositorio.ucp.pt:10400.14/5951Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:06:05.350124Repositório 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 |
The influence of the temperature increase rate on the accuracy of diffusion parameters estimated under non-isothermal conditions |
title |
The influence of the temperature increase rate on the accuracy of diffusion parameters estimated under non-isothermal conditions |
spellingShingle |
The influence of the temperature increase rate on the accuracy of diffusion parameters estimated under non-isothermal conditions Brandão, Teresa R. S. Arrhenius equation Diffusion coefficient Factorial design Fick's 2nd law |
title_short |
The influence of the temperature increase rate on the accuracy of diffusion parameters estimated under non-isothermal conditions |
title_full |
The influence of the temperature increase rate on the accuracy of diffusion parameters estimated under non-isothermal conditions |
title_fullStr |
The influence of the temperature increase rate on the accuracy of diffusion parameters estimated under non-isothermal conditions |
title_full_unstemmed |
The influence of the temperature increase rate on the accuracy of diffusion parameters estimated under non-isothermal conditions |
title_sort |
The influence of the temperature increase rate on the accuracy of diffusion parameters estimated under non-isothermal conditions |
author |
Brandão, Teresa R. S. |
author_facet |
Brandão, Teresa R. S. Oliveira, Fernanda A. R. |
author_role |
author |
author2 |
Oliveira, Fernanda A. R. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Veritati - Repositório Institucional da Universidade Católica Portuguesa |
dc.contributor.author.fl_str_mv |
Brandão, Teresa R. S. Oliveira, Fernanda A. R. |
dc.subject.por.fl_str_mv |
Arrhenius equation Diffusion coefficient Factorial design Fick's 2nd law |
topic |
Arrhenius equation Diffusion coefficient Factorial design Fick's 2nd law |
description |
The accuracy of the diffusion parameters estimated under non-isothermal conditions was studied using computer-generated pseudo-experimental points. The data sets were obtained from Fick's 2nd law and an Arrhenius-type temperature dependence of the diffusivity. A normally distributed error was randomly attributed to the model data. The pseudo-experimental points thus obtained were then fitted to the model equation, with non-linear regression using the Simplex algorithm, yielding the estimates of the pre-exponential factor and activation energy. Several linear temperature profiles were studied, from 0.014 to 16°C min−1. It was concluded that the accuracy of the parameters estimation depends on the temperature increase rate. The effects of the pre-exponential factor, the activation energy, the range of temperature and the magnitude of the experimental error on the value of the temperature increase rate that led to maximum accuracy of the parameters estimates were also studied. |
publishDate |
1997 |
dc.date.none.fl_str_mv |
1997 1997-01-01T00:00:00Z 2011-10-11T11:44:30Z |
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/10400.14/5951 |
url |
http://hdl.handle.net/10400.14/5951 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
BRANDÃO, Teresa R. S. ; OLIVEIRA, Fernanda A. R. - The influence of the temperature increase rate on the accuracy of diffusion parameters estimated under non-isothermal conditions. International Journal of Food Science & Technology. ISSN 1365-2621. Vol. 32, n.º 1 (1997), p. 63-72 10.1046/j.1365-2621.1997.00375.x |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Wiley Blackwell |
publisher.none.fl_str_mv |
Wiley Blackwell |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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 |
repository.mail.fl_str_mv |
|
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1799131727195537408 |