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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/55947
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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 Técnicas2025-09-29T09:51:25Zoai: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:34982025-09-29 09:51:25.475CONICET 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 |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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