Behaviour of smooth catalysts at high reaction rates

Autores
Keegan, Sergio Dario; Mariani, Nestor Javier; Martinez, Osvaldo Miguel; Barreto, Guillermo Fernando
Año de publicación
2005
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In evaluating effective reaction rates in catalysts subject to heat and mass transport limitations, the size of the catalytic body is best defined by the so-called characteristic length ℓ, the ratio between catalyst volume and its external surface area, ℓ = Vp/Sp. This result follows from the limiting behaviour at very high reaction rates, when the effective reaction rates are proportional to 1/ℓ (e.g., Aris [R. Aris, The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts, Oxford University Press, London, 1975.]) or, in dimensionless form, to the inverse of the Thiele modulus Φ. It is further known from simple geometrical shapes that a series solution can be written in terms of powers of (1/Φ) and that the second order term [in(1/Φ)2] depends on the shape of the catalytic body. It is the aim of this paper to develop expressions of such second order term for 2D or 3D catalytic bodies showing arbitrary smooth external surfaces. In a similar way as the first order term allows to define the proper size of a catalyst, the second order term provides a characterization for the catalyst shape. This and other applications of the second order term are discussed.
Fil: Keegan, Sergio Dario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; Argentina
Fil: Mariani, Nestor Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; Argentina
Fil: Martinez, Osvaldo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; Argentina
Fil: Barreto, Guillermo Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; Argentina
Materia
Catalytic Reactions
Diffusion-Reaction
Effectiveness Factor
Shape Factor
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/55947
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/55947
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Behaviour of smooth catalysts at high reaction ratesKeegan, Sergio DarioMariani, Nestor JavierMartinez, Osvaldo MiguelBarreto, Guillermo FernandoCatalytic ReactionsDiffusion-ReactionEffectiveness FactorShape Factorhttps://purl.org/becyt/ford/2.4https://purl.org/becyt/ford/2In evaluating effective reaction rates in catalysts subject to heat and mass transport limitations, the size of the catalytic body is best defined by the so-called characteristic length ℓ, the ratio between catalyst volume and its external surface area, ℓ = Vp/Sp. This result follows from the limiting behaviour at very high reaction rates, when the effective reaction rates are proportional to 1/ℓ (e.g., Aris [R. Aris, The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts, Oxford University Press, London, 1975.]) or, in dimensionless form, to the inverse of the Thiele modulus Φ. It is further known from simple geometrical shapes that a series solution can be written in terms of powers of (1/Φ) and that the second order term [in(1/Φ)2] depends on the shape of the catalytic body. It is the aim of this paper to develop expressions of such second order term for 2D or 3D catalytic bodies showing arbitrary smooth external surfaces. In a similar way as the first order term allows to define the proper size of a catalyst, the second order term provides a characterization for the catalyst shape. This and other applications of the second order term are discussed.Fil: Keegan, Sergio Dario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; ArgentinaFil: Mariani, Nestor Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; ArgentinaFil: Martinez, Osvaldo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; ArgentinaFil: Barreto, Guillermo Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; ArgentinaElsevier Science Sa2005-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/55947Keegan, Sergio Dario; Mariani, Nestor Javier; Martinez, Osvaldo Miguel; Barreto, Guillermo Fernando; Behaviour of smooth catalysts at high reaction rates; Elsevier Science Sa; Chemical Engineering Journal; 110; 1-3; 1-6-2005; 41-561385-8947CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.cej.2005.04.013info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1385894705001804info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:20:46Zoai:ri.conicet.gov.ar:11336/55947instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:20:46.833CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Behaviour of smooth catalysts at high reaction rates
title Behaviour of smooth catalysts at high reaction rates
spellingShingle Behaviour of smooth catalysts at high reaction rates
Keegan, Sergio Dario
Catalytic Reactions
Diffusion-Reaction
Effectiveness Factor
Shape Factor
title_short Behaviour of smooth catalysts at high reaction rates
title_full Behaviour of smooth catalysts at high reaction rates
title_fullStr Behaviour of smooth catalysts at high reaction rates
title_full_unstemmed Behaviour of smooth catalysts at high reaction rates
title_sort Behaviour of smooth catalysts at high reaction rates
dc.creator.none.fl_str_mv Keegan, Sergio Dario
Mariani, Nestor Javier
Martinez, Osvaldo Miguel
Barreto, Guillermo Fernando
author Keegan, Sergio Dario
author_facet Keegan, Sergio Dario
Mariani, Nestor Javier
Martinez, Osvaldo Miguel
Barreto, Guillermo Fernando
author_role author
author2 Mariani, Nestor Javier
Martinez, Osvaldo Miguel
Barreto, Guillermo Fernando
author2_role author
author
author
dc.subject.none.fl_str_mv Catalytic Reactions
Diffusion-Reaction
Effectiveness Factor
Shape Factor
topic Catalytic Reactions
Diffusion-Reaction
Effectiveness Factor
Shape Factor
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv In evaluating effective reaction rates in catalysts subject to heat and mass transport limitations, the size of the catalytic body is best defined by the so-called characteristic length ℓ, the ratio between catalyst volume and its external surface area, ℓ = Vp/Sp. This result follows from the limiting behaviour at very high reaction rates, when the effective reaction rates are proportional to 1/ℓ (e.g., Aris [R. Aris, The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts, Oxford University Press, London, 1975.]) or, in dimensionless form, to the inverse of the Thiele modulus Φ. It is further known from simple geometrical shapes that a series solution can be written in terms of powers of (1/Φ) and that the second order term [in(1/Φ)2] depends on the shape of the catalytic body. It is the aim of this paper to develop expressions of such second order term for 2D or 3D catalytic bodies showing arbitrary smooth external surfaces. In a similar way as the first order term allows to define the proper size of a catalyst, the second order term provides a characterization for the catalyst shape. This and other applications of the second order term are discussed.
Fil: Keegan, Sergio Dario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; Argentina
Fil: Mariani, Nestor Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; Argentina
Fil: Martinez, Osvaldo Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; Argentina
Fil: Barreto, Guillermo Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigación y Desarrollo en Ciencias Aplicadas "Dr. Jorge J. Ronco". Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Centro de Investigación y Desarrollo en Ciencias Aplicadas; Argentina
description In evaluating effective reaction rates in catalysts subject to heat and mass transport limitations, the size of the catalytic body is best defined by the so-called characteristic length ℓ, the ratio between catalyst volume and its external surface area, ℓ = Vp/Sp. This result follows from the limiting behaviour at very high reaction rates, when the effective reaction rates are proportional to 1/ℓ (e.g., Aris [R. Aris, The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts, Oxford University Press, London, 1975.]) or, in dimensionless form, to the inverse of the Thiele modulus Φ. It is further known from simple geometrical shapes that a series solution can be written in terms of powers of (1/Φ) and that the second order term [in(1/Φ)2] depends on the shape of the catalytic body. It is the aim of this paper to develop expressions of such second order term for 2D or 3D catalytic bodies showing arbitrary smooth external surfaces. In a similar way as the first order term allows to define the proper size of a catalyst, the second order term provides a characterization for the catalyst shape. This and other applications of the second order term are discussed.
publishDate 2005
dc.date.none.fl_str_mv 2005-06-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/55947
Keegan, Sergio Dario; Mariani, Nestor Javier; Martinez, Osvaldo Miguel; Barreto, Guillermo Fernando; Behaviour of smooth catalysts at high reaction rates; Elsevier Science Sa; Chemical Engineering Journal; 110; 1-3; 1-6-2005; 41-56
1385-8947
CONICET Digital
CONICET
url http://hdl.handle.net/11336/55947
identifier_str_mv Keegan, Sergio Dario; Mariani, Nestor Javier; Martinez, Osvaldo Miguel; Barreto, Guillermo Fernando; Behaviour of smooth catalysts at high reaction rates; Elsevier Science Sa; Chemical Engineering Journal; 110; 1-3; 1-6-2005; 41-56
1385-8947
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cej.2005.04.013
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1385894705001804
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Sa
publisher.none.fl_str_mv Elsevier Science Sa
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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