A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains

Detalhes bibliográficos
Autor(a) principal: Santos, Rômulo Damasclin Chaves dos
Data de Publicação: 2024
Outros Autores: Sales, Jorge Henrique de Oliveira, Silva, Alice Rosa da
Tipo de documento: Artigo
Idioma: eng
Título da fonte: The Journal of Engineering and Exact Sciences
Texto Completo: https://periodicos.ufv.br/jcec/article/view/18055
Resumo: This work serves as an introductory exploration of Oseen flow, a mathematical and physical framework for modeling fluid dynamics, with a specific focus on viscous substances like liquids or gases. The presented theorem and its associated lemmas are an extension of the foundational theory of potential flow, which is conventionally applied to inviscid fluids. The primary goal in investigating Oseen flow within external domains is to elucidate the influence of viscous effects on flow patterns beyond solid structures. As a result, we prove the existence of generalized solutions when  is a three-dimensional (3D) domain in Stokes problem.
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spelling A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domainsUma breve investigação funcional via espaços de Sobolev para analise do comportamento do escoamento de Oseen em domínios externosEscoamento de Oseen.Domínio 3D.Domínio Externo.Fluido Invíscido.Escoamento de Oseen.Domínio 3D.Domínio Externo.Fluido Invíscido.Escorrentía vistaDominio 3D.Dominio externo.Fluido invisible.Ruissellement visible.Domaine 3D.Domaine externe.Fluide non visqueux.This work serves as an introductory exploration of Oseen flow, a mathematical and physical framework for modeling fluid dynamics, with a specific focus on viscous substances like liquids or gases. The presented theorem and its associated lemmas are an extension of the foundational theory of potential flow, which is conventionally applied to inviscid fluids. The primary goal in investigating Oseen flow within external domains is to elucidate the influence of viscous effects on flow patterns beyond solid structures. As a result, we prove the existence of generalized solutions when  is a three-dimensional (3D) domain in Stokes problem.Este trabajo sirve como una exploración introductoria del flujo de Oseen, un marco matemático y físico para modelar la dinámica de fluidos, con un enfoque específico en sustancias viscosas como líquidos o gases. El teorema presentado y sus lemas asociados son una extensión de la teoría fundamental del flujo potencial, que se aplica convencionalmente a fluidos no viscosos. El objetivo principal al investigar el flujo de Oseen dentro de dominios externos es dilucidar la influencia de los efectos viscosos en los patrones de flujo más allá de las estructuras sólidas. Como resultado, demostramos la existencia de soluciones generalizadas cuando ? es un dominio tridimensional (3D) en el problema de Stokes.Ce travail sert d'exploration introductive du flux Oseen, un cadre mathématique et physique pour la modélisation de la dynamique des fluides, avec un accent spécifique sur les substances visqueuses telles que les liquides ou les gaz. Le théorème présenté et ses lemmes associés sont une extension de la théorie fondamentale de l'écoulement potentiel, qui est classiquement appliquée aux fluides non visqueux. L'objectif principal de l'étude de l'écoulement Oseen dans des domaines externes est d'élucider l'influence des effets visqueux sur les modèles d'écoulement au-delà des structures solides. En conséquence, nous prouvons l’existence de solutions généralisées lorsque ? est un domaine tridimensionnel (3D) dans le problème de Stokes.Este trabalho serve como uma exploração introdutória do escoamento de Oseen, uma estrutura matemática e física para modelagem de dinâmica de fluidos, com foco específico em substâncias viscosas como líquidos ou gases. O teorema apresentado e seus lemas associados são uma extensão da teoria fundamental do fluxo potencial, que é convencionalmente aplicada a fluidos invíscidos. O objetivo principal na investigação do escoamento de Oseen dentro de domínios externos é elucidar a influência dos efeitos viscosos nos padrões do escoamento além das estruturas sólidas. Como resultado, provamos a existência de soluções generalizadas para um domínio tridimensional (3D) no problema de Stokes.Universidade Federal de Viçosa - UFV2024-01-19info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufv.br/jcec/article/view/1805510.18540/jcecvl10iss2pp18055The Journal of Engineering and Exact Sciences; Vol. 10 No. 2 (2024); 18055The Journal of Engineering and Exact Sciences; Vol. 10 Núm. 2 (2024); 18055The Journal of Engineering and Exact Sciences; v. 10 n. 2 (2024); 180552527-1075reponame:The Journal of Engineering and Exact Sciencesinstname:Universidade Federal de Viçosa (UFV)instacron:UFVenghttps://periodicos.ufv.br/jcec/article/view/18055/9383Copyright (c) 2024 The Journal of Engineering and Exact Scienceshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessSantos, Rômulo Damasclin Chaves dosSales, Jorge Henrique de OliveiraSilva, Alice Rosa da2024-04-20T19:31:45Zoai:ojs.periodicos.ufv.br:article/18055Revistahttp://www.seer.ufv.br/seer/rbeq2/index.php/req2/oai2527-10752527-1075opendoar:2024-04-20T19:31:45The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)false
dc.title.none.fl_str_mv A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains
Uma breve investigação funcional via espaços de Sobolev para analise do comportamento do escoamento de Oseen em domínios externos
title A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains
spellingShingle A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains
Santos, Rômulo Damasclin Chaves dos
Escoamento de Oseen.
Domínio 3D.
Domínio Externo.
Fluido Invíscido.
Escoamento de Oseen.
Domínio 3D.
Domínio Externo.
Fluido Invíscido.
Escorrentía vista
Dominio 3D.
Dominio externo.
Fluido invisible.
Ruissellement visible.
Domaine 3D.
Domaine externe.
Fluide non visqueux.
title_short A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains
title_full A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains
title_fullStr A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains
title_full_unstemmed A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains
title_sort A brief functional investigation via Sobolev spaces to analyze the behavior of Oseen flow in external domains
author Santos, Rômulo Damasclin Chaves dos
author_facet Santos, Rômulo Damasclin Chaves dos
Sales, Jorge Henrique de Oliveira
Silva, Alice Rosa da
author_role author
author2 Sales, Jorge Henrique de Oliveira
Silva, Alice Rosa da
author2_role author
author
dc.contributor.author.fl_str_mv Santos, Rômulo Damasclin Chaves dos
Sales, Jorge Henrique de Oliveira
Silva, Alice Rosa da
dc.subject.por.fl_str_mv Escoamento de Oseen.
Domínio 3D.
Domínio Externo.
Fluido Invíscido.
Escoamento de Oseen.
Domínio 3D.
Domínio Externo.
Fluido Invíscido.
Escorrentía vista
Dominio 3D.
Dominio externo.
Fluido invisible.
Ruissellement visible.
Domaine 3D.
Domaine externe.
Fluide non visqueux.
topic Escoamento de Oseen.
Domínio 3D.
Domínio Externo.
Fluido Invíscido.
Escoamento de Oseen.
Domínio 3D.
Domínio Externo.
Fluido Invíscido.
Escorrentía vista
Dominio 3D.
Dominio externo.
Fluido invisible.
Ruissellement visible.
Domaine 3D.
Domaine externe.
Fluide non visqueux.
description This work serves as an introductory exploration of Oseen flow, a mathematical and physical framework for modeling fluid dynamics, with a specific focus on viscous substances like liquids or gases. The presented theorem and its associated lemmas are an extension of the foundational theory of potential flow, which is conventionally applied to inviscid fluids. The primary goal in investigating Oseen flow within external domains is to elucidate the influence of viscous effects on flow patterns beyond solid structures. As a result, we prove the existence of generalized solutions when  is a three-dimensional (3D) domain in Stokes problem.
publishDate 2024
dc.date.none.fl_str_mv 2024-01-19
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufv.br/jcec/article/view/18055
10.18540/jcecvl10iss2pp18055
url https://periodicos.ufv.br/jcec/article/view/18055
identifier_str_mv 10.18540/jcecvl10iss2pp18055
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.ufv.br/jcec/article/view/18055/9383
dc.rights.driver.fl_str_mv Copyright (c) 2024 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2024 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
dc.source.none.fl_str_mv The Journal of Engineering and Exact Sciences; Vol. 10 No. 2 (2024); 18055
The Journal of Engineering and Exact Sciences; Vol. 10 Núm. 2 (2024); 18055
The Journal of Engineering and Exact Sciences; v. 10 n. 2 (2024); 18055
2527-1075
reponame:The Journal of Engineering and Exact Sciences
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str The Journal of Engineering and Exact Sciences
collection The Journal of Engineering and Exact Sciences
repository.name.fl_str_mv The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv
_version_ 1808845241495584768

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