A modified orthogonal collocation method for reaction diffusion problems
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Brazilian Journal of Chemical Engineering |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0104-66322014000400015 |
Resumo: | A low-order collocation method is often useful in revealing the main features such as concentration and temperature profiles and the effectiveness factor for porous catalyst particles. Two modifications are introduced in this paper to make the method more efficient. The first modification is to add an extra collocation point at the center of the particle. It is shown that such extra point introduces a single variable non-linear equation to be solved after obtaining the standard collocation method solution. In the second modification, the polynomial solution obtained from the application of the orthogonal collocation method is transformed to a rational function form. These two modifications are applied to specific examples and it is shown that they can improve the performance of collocation methods in general and the one-point collocation method in particular. |
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Brazilian Journal of Chemical Engineering |
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A modified orthogonal collocation method for reaction diffusion problemsOrthogonal collocationJacobi polynomialsInterpolationReaction diffusionCatalyst particleA low-order collocation method is often useful in revealing the main features such as concentration and temperature profiles and the effectiveness factor for porous catalyst particles. Two modifications are introduced in this paper to make the method more efficient. The first modification is to add an extra collocation point at the center of the particle. It is shown that such extra point introduces a single variable non-linear equation to be solved after obtaining the standard collocation method solution. In the second modification, the polynomial solution obtained from the application of the orthogonal collocation method is transformed to a rational function form. These two modifications are applied to specific examples and it is shown that they can improve the performance of collocation methods in general and the one-point collocation method in particular.Brazilian Society of Chemical Engineering2014-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0104-66322014000400015Brazilian Journal of Chemical Engineering v.31 n.4 2014reponame:Brazilian Journal of Chemical Engineeringinstname:Associação Brasileira de Engenharia Química (ABEQ)instacron:ABEQ10.1590/0104-6632.20140314s00002692info:eu-repo/semantics/openAccessSoliman,M.Al-Zeghayer,Y.Ajbar,A.eng2014-11-14T00:00:00Zoai:scielo:S0104-66322014000400015Revistahttps://www.scielo.br/j/bjce/https://old.scielo.br/oai/scielo-oai.phprgiudici@usp.br||rgiudici@usp.br1678-43830104-6632opendoar:2014-11-14T00:00Brazilian Journal of Chemical Engineering - Associação Brasileira de Engenharia Química (ABEQ)false |
dc.title.none.fl_str_mv |
A modified orthogonal collocation method for reaction diffusion problems |
title |
A modified orthogonal collocation method for reaction diffusion problems |
spellingShingle |
A modified orthogonal collocation method for reaction diffusion problems Soliman,M. Orthogonal collocation Jacobi polynomials Interpolation Reaction diffusion Catalyst particle |
title_short |
A modified orthogonal collocation method for reaction diffusion problems |
title_full |
A modified orthogonal collocation method for reaction diffusion problems |
title_fullStr |
A modified orthogonal collocation method for reaction diffusion problems |
title_full_unstemmed |
A modified orthogonal collocation method for reaction diffusion problems |
title_sort |
A modified orthogonal collocation method for reaction diffusion problems |
author |
Soliman,M. |
author_facet |
Soliman,M. Al-Zeghayer,Y. Ajbar,A. |
author_role |
author |
author2 |
Al-Zeghayer,Y. Ajbar,A. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Soliman,M. Al-Zeghayer,Y. Ajbar,A. |
dc.subject.por.fl_str_mv |
Orthogonal collocation Jacobi polynomials Interpolation Reaction diffusion Catalyst particle |
topic |
Orthogonal collocation Jacobi polynomials Interpolation Reaction diffusion Catalyst particle |
description |
A low-order collocation method is often useful in revealing the main features such as concentration and temperature profiles and the effectiveness factor for porous catalyst particles. Two modifications are introduced in this paper to make the method more efficient. The first modification is to add an extra collocation point at the center of the particle. It is shown that such extra point introduces a single variable non-linear equation to be solved after obtaining the standard collocation method solution. In the second modification, the polynomial solution obtained from the application of the orthogonal collocation method is transformed to a rational function form. These two modifications are applied to specific examples and it is shown that they can improve the performance of collocation methods in general and the one-point collocation method in particular. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-12-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0104-66322014000400015 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0104-66322014000400015 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/0104-6632.20140314s00002692 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Brazilian Society of Chemical Engineering |
publisher.none.fl_str_mv |
Brazilian Society of Chemical Engineering |
dc.source.none.fl_str_mv |
Brazilian Journal of Chemical Engineering v.31 n.4 2014 reponame:Brazilian Journal of Chemical Engineering instname:Associação Brasileira de Engenharia Química (ABEQ) instacron:ABEQ |
instname_str |
Associação Brasileira de Engenharia Química (ABEQ) |
instacron_str |
ABEQ |
institution |
ABEQ |
reponame_str |
Brazilian Journal of Chemical Engineering |
collection |
Brazilian Journal of Chemical Engineering |
repository.name.fl_str_mv |
Brazilian Journal of Chemical Engineering - Associação Brasileira de Engenharia Química (ABEQ) |
repository.mail.fl_str_mv |
rgiudici@usp.br||rgiudici@usp.br |
_version_ |
1754213174624649216 |