Closed form solutions to water pollution problems using auto-BäcklundTransformations

Detalhes bibliográficos
Autor(a) principal: Ribeiro, Vinicius Gadis
Data de Publicação: 2014
Outros Autores: Zabadal, Jorge Rodolfo Silva, Teixeira, Fabio Goncalves, Lacerda, Guilherme Silva de, Silveira, Sidnei Renato, Silveira, Andre Luis Marques da
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/263928
Resumo: Air pollution can be very harmful to human health, especially in urban areas of large cities and in the vicinity of chemical industries. In order to prevent and minimize environmental impacts from these industries, it is necessary to use mathematical models, which can simulate scenarios associated with dispersion of pollutants. This work presents a new analytical method for solving pollutant dispersion problems. The method uses two first-order differential restrictions from which are found auto-Bäcklund transformations for the two-dimensional advection-diffusion equation at steady state. The main characteristic of the formulation is the reduced time required to obtain analytical solutions.
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spelling Ribeiro, Vinicius GadisZabadal, Jorge Rodolfo SilvaTeixeira, Fabio GoncalvesLacerda, Guilherme Silva deSilveira, Sidnei RenatoSilveira, Andre Luis Marques da2023-08-23T03:32:25Z20141984-2988http://hdl.handle.net/10183/263928000939653Air pollution can be very harmful to human health, especially in urban areas of large cities and in the vicinity of chemical industries. In order to prevent and minimize environmental impacts from these industries, it is necessary to use mathematical models, which can simulate scenarios associated with dispersion of pollutants. This work presents a new analytical method for solving pollutant dispersion problems. The method uses two first-order differential restrictions from which are found auto-Bäcklund transformations for the two-dimensional advection-diffusion equation at steady state. The main characteristic of the formulation is the reduced time required to obtain analytical solutions.application/pdfengIJERA - International journal of engineering research and applications [recurso eletrônico]. [Tamil Nadu]. Vol. 4, no. 1 (version 3) (Jan. 2014), p. 223-229Dispersão de poluentesModelagem matemáticaDispersion of pollutantsExact solutionsMathematical modelingClosed form solutions to water pollution problems using auto-BäcklundTransformationsEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT000939653.pdf.txt000939653.pdf.txtExtracted Texttext/plain29175http://www.lume.ufrgs.br/bitstream/10183/263928/2/000939653.pdf.txt7d6d9856d4152931517e6eccad0b6f4dMD52ORIGINAL000939653.pdfTexto completo (inglês)application/pdf352225http://www.lume.ufrgs.br/bitstream/10183/263928/1/000939653.pdf9eba3a64eddcc0494d318cc3271f5c41MD5110183/2639282023-08-24 03:35:35.392178oai:www.lume.ufrgs.br:10183/263928Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-08-24T06:35:35Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Closed form solutions to water pollution problems using auto-BäcklundTransformations
title Closed form solutions to water pollution problems using auto-BäcklundTransformations
spellingShingle Closed form solutions to water pollution problems using auto-BäcklundTransformations
Ribeiro, Vinicius Gadis
Dispersão de poluentes
Modelagem matemática
Dispersion of pollutants
Exact solutions
Mathematical modeling
title_short Closed form solutions to water pollution problems using auto-BäcklundTransformations
title_full Closed form solutions to water pollution problems using auto-BäcklundTransformations
title_fullStr Closed form solutions to water pollution problems using auto-BäcklundTransformations
title_full_unstemmed Closed form solutions to water pollution problems using auto-BäcklundTransformations
title_sort Closed form solutions to water pollution problems using auto-BäcklundTransformations
author Ribeiro, Vinicius Gadis
author_facet Ribeiro, Vinicius Gadis
Zabadal, Jorge Rodolfo Silva
Teixeira, Fabio Goncalves
Lacerda, Guilherme Silva de
Silveira, Sidnei Renato
Silveira, Andre Luis Marques da
author_role author
author2 Zabadal, Jorge Rodolfo Silva
Teixeira, Fabio Goncalves
Lacerda, Guilherme Silva de
Silveira, Sidnei Renato
Silveira, Andre Luis Marques da
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv Ribeiro, Vinicius Gadis
Zabadal, Jorge Rodolfo Silva
Teixeira, Fabio Goncalves
Lacerda, Guilherme Silva de
Silveira, Sidnei Renato
Silveira, Andre Luis Marques da
dc.subject.por.fl_str_mv Dispersão de poluentes
Modelagem matemática
topic Dispersão de poluentes
Modelagem matemática
Dispersion of pollutants
Exact solutions
Mathematical modeling
dc.subject.eng.fl_str_mv Dispersion of pollutants
Exact solutions
Mathematical modeling
description Air pollution can be very harmful to human health, especially in urban areas of large cities and in the vicinity of chemical industries. In order to prevent and minimize environmental impacts from these industries, it is necessary to use mathematical models, which can simulate scenarios associated with dispersion of pollutants. This work presents a new analytical method for solving pollutant dispersion problems. The method uses two first-order differential restrictions from which are found auto-Bäcklund transformations for the two-dimensional advection-diffusion equation at steady state. The main characteristic of the formulation is the reduced time required to obtain analytical solutions.
publishDate 2014
dc.date.issued.fl_str_mv 2014
dc.date.accessioned.fl_str_mv 2023-08-23T03:32:25Z
dc.type.driver.fl_str_mv Estrangeiro
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://hdl.handle.net/10183/263928
dc.identifier.issn.pt_BR.fl_str_mv 1984-2988
dc.identifier.nrb.pt_BR.fl_str_mv 000939653
identifier_str_mv 1984-2988
000939653
url http://hdl.handle.net/10183/263928
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.pt_BR.fl_str_mv IJERA - International journal of engineering research and applications [recurso eletrônico]. [Tamil Nadu]. Vol. 4, no. 1 (version 3) (Jan. 2014), p. 223-229
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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instname_str Universidade Federal do Rio Grande do Sul (UFRGS)
instacron_str UFRGS
institution UFRGS
reponame_str Repositório Institucional da UFRGS
collection Repositório Institucional da UFRGS
bitstream.url.fl_str_mv http://www.lume.ufrgs.br/bitstream/10183/263928/2/000939653.pdf.txt
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