Analytical solution of the advection–diffusion transport equation using a change-of-variable and integral transform technique
| Autor(a) principal: | |
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| Data de Publicação: | 2009 |
| Outros Autores: | , , |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UFRJ |
| Texto Completo: | http://hdl.handle.net/11422/8787 |
Resumo: | Indisponível. |
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Guerrero, Jesús Salvador PérezPimentel, Luiz Claudio GomesSkaggs, Todd H.Van Genuchten, Martinus Theodorus2019-07-12T17:45:46Z2023-11-30T03:03:36Z2009-03-110017-9310http://hdl.handle.net/11422/878710.1016/j.ijheatmasstransfer.2009.02.002Indisponível.This paper presents a formal exact solution of the linear advection–diffusion transport equation with constant coefficients for both transient and steady-state regimes. A classical mathematical substitution transforms the original advection–diffusion equation into an exclusively diffusive equation. The new diffusive problem is solved analytically using the classic version of Generalized Integral Transform Technique (GITT), resulting in an explicit formal solution. The new solution is shown to converge faster than a hybrid analytical–numerical solution previously obtained by applying the GITT directly to the advection–diffusion transport equation.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-07-12T17:45:46Z No. of bitstreams: 1 2009_PIMENTEL_IJHMT_v52_p3297-3304-min.pdf: 152413 bytes, checksum: 8c4d6308bc442987c00bb69f1c3bb459 (MD5)Made available in DSpace on 2019-07-12T17:45:46Z (GMT). No. of bitstreams: 1 2009_PIMENTEL_IJHMT_v52_p3297-3304-min.pdf: 152413 bytes, checksum: 8c4d6308bc442987c00bb69f1c3bb459 (MD5) Previous issue date: 2009-03-11engElsevierBrasilNúcleo Interdisciplinar de Dinâmica dos FluidosInternational Journal of Heat and Mass TransferCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSAnalytical solutionTransport equationIntegral transformsAnalytical solution of the advection–diffusion transport equation using a change-of-variable and integral transform techniqueinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article5213-1432973304365 diasinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJLICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8787/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD52ORIGINAL2009_PIMENTEL_IJHMT_v52_p3297-3304-min.pdf2009_PIMENTEL_IJHMT_v52_p3297-3304-min.pdfapplication/pdf152413http://pantheon.ufrj.br:80/bitstream/11422/8787/1/2009_PIMENTEL_IJHMT_v52_p3297-3304-min.pdf8c4d6308bc442987c00bb69f1c3bb459MD5111422/87872023-11-30 00:03:36.277oai:pantheon.ufrj.br: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Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:03:36Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false |
| dc.title.en.fl_str_mv |
Analytical solution of the advection–diffusion transport equation using a change-of-variable and integral transform technique |
| title |
Analytical solution of the advection–diffusion transport equation using a change-of-variable and integral transform technique |
| spellingShingle |
Analytical solution of the advection–diffusion transport equation using a change-of-variable and integral transform technique Guerrero, Jesús Salvador Pérez CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS Analytical solution Transport equation Integral transforms |
| title_short |
Analytical solution of the advection–diffusion transport equation using a change-of-variable and integral transform technique |
| title_full |
Analytical solution of the advection–diffusion transport equation using a change-of-variable and integral transform technique |
| title_fullStr |
Analytical solution of the advection–diffusion transport equation using a change-of-variable and integral transform technique |
| title_full_unstemmed |
Analytical solution of the advection–diffusion transport equation using a change-of-variable and integral transform technique |
| title_sort |
Analytical solution of the advection–diffusion transport equation using a change-of-variable and integral transform technique |
| author |
Guerrero, Jesús Salvador Pérez |
| author_facet |
Guerrero, Jesús Salvador Pérez Pimentel, Luiz Claudio Gomes Skaggs, Todd H. Van Genuchten, Martinus Theodorus |
| author_role |
author |
| author2 |
Pimentel, Luiz Claudio Gomes Skaggs, Todd H. Van Genuchten, Martinus Theodorus |
| author2_role |
author author author |
| dc.contributor.author.fl_str_mv |
Guerrero, Jesús Salvador Pérez Pimentel, Luiz Claudio Gomes Skaggs, Todd H. Van Genuchten, Martinus Theodorus |
| dc.subject.cnpq.fl_str_mv |
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS |
| topic |
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS Analytical solution Transport equation Integral transforms |
| dc.subject.eng.fl_str_mv |
Analytical solution Transport equation Integral transforms |
| description |
Indisponível. |
| publishDate |
2009 |
| dc.date.issued.fl_str_mv |
2009-03-11 |
| dc.date.accessioned.fl_str_mv |
2019-07-12T17:45:46Z |
| dc.date.available.fl_str_mv |
2023-11-30T03:03:36Z |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
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http://hdl.handle.net/11422/8787 |
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0017-9310 |
| dc.identifier.doi.pt_BR.fl_str_mv |
10.1016/j.ijheatmasstransfer.2009.02.002 |
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0017-9310 10.1016/j.ijheatmasstransfer.2009.02.002 |
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http://hdl.handle.net/11422/8787 |
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eng |
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International Journal of Heat and Mass Transfer |
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openAccess |
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Elsevier |
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Brasil |
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Núcleo Interdisciplinar de Dinâmica dos Fluidos |
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Elsevier |
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