Incompressible Schrödinger Flow with Heat-Transfer: An Introduction to the Analysis of Isotropic Fluid Dynamics in Sobolev Spaces for an Immersed Arbitrary Isothermal Geometry

Detalhes bibliográficos
Autor(a) principal: Santos, Rômulo Damasclin Chaves dos
Data de Publicação: 2024
Outros Autores: Sales, Jorge Henrique de Oliveira
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista de Engenharia Química e Química
Texto Completo: https://periodicos.ufv.br/jcec/article/view/18200
Resumo: This research investigates the intricate interplay of incompressible Schrödinger flow, heat-transfer, and the presence of an immersed isothermal body. The mathematical framework encompasses the Schrödinger equation for incompressible fluids, the heat transfer equation, and introduces a term that represents the thermal influence of an immersed isothermal geometry. Emphasizing the modeling and analysis of isotropic fluid dynamics, the study seeks to unravel the subtle relationship between the principles of quantum mechanics and the classical behavior of fluids. The initial discoveries produce an important theorem that leads the name of the authors, allowing new and valuable insights into the effects of the isothermal body immersed in a fluid medium. As a result, it was found that the term temperature source offers a unique perspective at the intersection of quantum mechanics and fluid dynamics.
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spelling Incompressible Schrödinger Flow with Heat-Transfer: An Introduction to the Analysis of Isotropic Fluid Dynamics in Sobolev Spaces for an Immersed Arbitrary Isothermal GeometryUno Flujo de Schrödinger incompresible con transferencia de calor: una introducción al análisis de la dinámica de fluidos isotrópicos en espacios de Sobolev para una geometría isotérmica arbitraria inmersaUn Écoulement de Schrödinger incompressible avec transfert de chaleur : introduction à l'analyse de la dynamique des fluides isotropes dans les espaces de Sobolev pour une géométrie isotherme arbitraire immergéeEscoamento Incompressível de Schrödinger com Transferência de Calor: Uma introdução à Análise da Dinâmica de Fluidos Isotrópicos em Espaços de Sobolev para uma Geometria Isotérmica Arbitrária ImersaIncompressible Schrödinger Flow.Isothermal Immersed Geometry.Heat Transfer.Mathematical Modeling.Escoamento Incompressível de Schrödinger.Geometria Imersa Isotérmica.Transferência de Calor.Modelagem Matemática.Flujo de Schrödinger incompresible.Geometría isotérmica sumergida.Transferencia de calorModelo MatematicoFlux de Schrödinger incompressible.Géométrie Immergée Isotherme.Transfert de chaleur.Modélisation mathématique.This research investigates the intricate interplay of incompressible Schrödinger flow, heat-transfer, and the presence of an immersed isothermal body. The mathematical framework encompasses the Schrödinger equation for incompressible fluids, the heat transfer equation, and introduces a term that represents the thermal influence of an immersed isothermal geometry. Emphasizing the modeling and analysis of isotropic fluid dynamics, the study seeks to unravel the subtle relationship between the principles of quantum mechanics and the classical behavior of fluids. The initial discoveries produce an important theorem that leads the name of the authors, allowing new and valuable insights into the effects of the isothermal body immersed in a fluid medium. As a result, it was found that the term temperature source offers a unique perspective at the intersection of quantum mechanics and fluid dynamics.Esta investigación investiga la intrincada interacción entre el flujo de Schrödinger incompresible, la transferencia de calor y la presencia de un cuerpo isotérmico sumergido. La estructura matemática abarca la ecuación de Schrödinger para fluidos incompresibles, la ecuación de transferencia de calor, e introduce un término que representa la influencia térmica de una geometría isotérmica sumergida. Haciendo hincapié en el modelado y análisis de la dinámica de fluidos isotrópicos, el estudio busca desentrañar la sutil relación entre los principios de la mecánica cuántica y el comportamiento clásico de los fluidos. Los descubrimientos iniciales producen un importante teorema que da origen al nombre de los autores, permitiendo nuevos y valiosos conocimientos sobre los efectos del cuerpo isotérmico sumergido en un medio fluido. Como resultado, se descubrió que el término fuente de temperatura ofrece una perspectiva única en la intersección de la mecánica cuántica y la dinámica de fluidos.Cette recherche étudie l'interaction complexe entre le flux de Schrödinger incompressible, le transfert de chaleur et la présence d'un corps isotherme immergé. La structure mathématique englobe l'équation de Schrödinger pour les fluides incompressibles, l'équation du transfert de chaleur, et introduit un terme qui représente l'influence thermique d'une géométrie isotherme immergée. En mettant l'accent sur la modélisation et l'analyse de la dynamique des fluides isotropes, l'étude cherche à démêler la relation subtile entre les principes de la mécanique quantique et le comportement classique des fluides. Les premières découvertes produisent un théorème important qui donne naissance au nom des auteurs, permettant des informations nouvelles et précieuses sur les effets du corps isotherme immergé dans un milieu fluide. En conséquence, le terme source de température s’est avéré offrir une perspective unique à l’intersection de la mécanique quantique et de la dynamique des fluides.Esta pesquisa investiga a intrincada interação entre o escoamento incompressível de Schrödinger, a transferência de calor e a presença de um corpo isotérmico imerso. A estrutura matemática abrange a equação de Schrödinger para fluidos incompressíveis, a equação de transferência de calor, e introduz um termo que representa a influência térmica de uma geometria isotérmica imersa. Enfatizando a modelagem e análise da dinâmica de fluidos isotrópicas, o estudo busca desvendar a relação sutil entre os princípios da mecânica quântica e o comportamento clássico dos fluidos. As descobertas iniciais produzem um importante teorema que dá origem ao nome dos autores, permitindo novos e valiosos insights sobre os efeitos do corpo isotérmico imerso em um meio fluido. Como resultado, descobriu-se que o termo fonte de temperatura oferece uma perspectiva única na intersecção da mecânica quântica e da dinâmica dos fluidos.Universidade Federal de Viçosa - UFV2024-02-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufv.br/jcec/article/view/1820010.18540/jcecvl10iss4pp18200The Journal of Engineering and Exact Sciences; Vol. 10 No. 4 (2024): Inpress; 18200The Journal of Engineering and Exact Sciences; Vol. 10 Núm. 4 (2024): Inpress; 18200The Journal of Engineering and Exact Sciences; v. 10 n. 4 (2024): Inpress; 182002527-1075reponame:Revista de Engenharia Química e Químicainstname:Universidade Federal de Viçosa (UFV)instacron:UFVenghttps://periodicos.ufv.br/jcec/article/view/18200/9415Copyright (c) 2024 The Journal of Engineering and Exact Scienceshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessSantos, Rômulo Damasclin Chaves dos Sales, Jorge Henrique de Oliveira2024-03-26T17:18:53Zoai:ojs.periodicos.ufv.br:article/18200Revistahttp://www.seer.ufv.br/seer/rbeq2/index.php/req2/indexONGhttps://periodicos.ufv.br/jcec/oaijcec.journal@ufv.br||req2@ufv.br2446-94162446-9416opendoar:2024-03-26T17:18:53Revista de Engenharia Química e Química - Universidade Federal de Viçosa (UFV)false
dc.title.none.fl_str_mv Incompressible Schrödinger Flow with Heat-Transfer: An Introduction to the Analysis of Isotropic Fluid Dynamics in Sobolev Spaces for an Immersed Arbitrary Isothermal Geometry
Uno Flujo de Schrödinger incompresible con transferencia de calor: una introducción al análisis de la dinámica de fluidos isotrópicos en espacios de Sobolev para una geometría isotérmica arbitraria inmersa
Un Écoulement de Schrödinger incompressible avec transfert de chaleur : introduction à l'analyse de la dynamique des fluides isotropes dans les espaces de Sobolev pour une géométrie isotherme arbitraire immergée
Escoamento Incompressível de Schrödinger com Transferência de Calor: Uma introdução à Análise da Dinâmica de Fluidos Isotrópicos em Espaços de Sobolev para uma Geometria Isotérmica Arbitrária Imersa
title Incompressible Schrödinger Flow with Heat-Transfer: An Introduction to the Analysis of Isotropic Fluid Dynamics in Sobolev Spaces for an Immersed Arbitrary Isothermal Geometry
spellingShingle Incompressible Schrödinger Flow with Heat-Transfer: An Introduction to the Analysis of Isotropic Fluid Dynamics in Sobolev Spaces for an Immersed Arbitrary Isothermal Geometry
Santos, Rômulo Damasclin Chaves dos
Incompressible Schrödinger Flow.
Isothermal Immersed Geometry.
Heat Transfer.
Mathematical Modeling.
Escoamento Incompressível de Schrödinger.
Geometria Imersa Isotérmica.
Transferência de Calor.
Modelagem Matemática.
Flujo de Schrödinger incompresible.
Geometría isotérmica sumergida.
Transferencia de calor
Modelo Matematico
Flux de Schrödinger incompressible.
Géométrie Immergée Isotherme.
Transfert de chaleur.
Modélisation mathématique.
title_short Incompressible Schrödinger Flow with Heat-Transfer: An Introduction to the Analysis of Isotropic Fluid Dynamics in Sobolev Spaces for an Immersed Arbitrary Isothermal Geometry
title_full Incompressible Schrödinger Flow with Heat-Transfer: An Introduction to the Analysis of Isotropic Fluid Dynamics in Sobolev Spaces for an Immersed Arbitrary Isothermal Geometry
title_fullStr Incompressible Schrödinger Flow with Heat-Transfer: An Introduction to the Analysis of Isotropic Fluid Dynamics in Sobolev Spaces for an Immersed Arbitrary Isothermal Geometry
title_full_unstemmed Incompressible Schrödinger Flow with Heat-Transfer: An Introduction to the Analysis of Isotropic Fluid Dynamics in Sobolev Spaces for an Immersed Arbitrary Isothermal Geometry
title_sort Incompressible Schrödinger Flow with Heat-Transfer: An Introduction to the Analysis of Isotropic Fluid Dynamics in Sobolev Spaces for an Immersed Arbitrary Isothermal Geometry
author Santos, Rômulo Damasclin Chaves dos
author_facet Santos, Rômulo Damasclin Chaves dos
Sales, Jorge Henrique de Oliveira
author_role author
author2 Sales, Jorge Henrique de Oliveira
author2_role author
dc.contributor.author.fl_str_mv Santos, Rômulo Damasclin Chaves dos
Sales, Jorge Henrique de Oliveira
dc.subject.por.fl_str_mv Incompressible Schrödinger Flow.
Isothermal Immersed Geometry.
Heat Transfer.
Mathematical Modeling.
Escoamento Incompressível de Schrödinger.
Geometria Imersa Isotérmica.
Transferência de Calor.
Modelagem Matemática.
Flujo de Schrödinger incompresible.
Geometría isotérmica sumergida.
Transferencia de calor
Modelo Matematico
Flux de Schrödinger incompressible.
Géométrie Immergée Isotherme.
Transfert de chaleur.
Modélisation mathématique.
topic Incompressible Schrödinger Flow.
Isothermal Immersed Geometry.
Heat Transfer.
Mathematical Modeling.
Escoamento Incompressível de Schrödinger.
Geometria Imersa Isotérmica.
Transferência de Calor.
Modelagem Matemática.
Flujo de Schrödinger incompresible.
Geometría isotérmica sumergida.
Transferencia de calor
Modelo Matematico
Flux de Schrödinger incompressible.
Géométrie Immergée Isotherme.
Transfert de chaleur.
Modélisation mathématique.
description This research investigates the intricate interplay of incompressible Schrödinger flow, heat-transfer, and the presence of an immersed isothermal body. The mathematical framework encompasses the Schrödinger equation for incompressible fluids, the heat transfer equation, and introduces a term that represents the thermal influence of an immersed isothermal geometry. Emphasizing the modeling and analysis of isotropic fluid dynamics, the study seeks to unravel the subtle relationship between the principles of quantum mechanics and the classical behavior of fluids. The initial discoveries produce an important theorem that leads the name of the authors, allowing new and valuable insights into the effects of the isothermal body immersed in a fluid medium. As a result, it was found that the term temperature source offers a unique perspective at the intersection of quantum mechanics and fluid dynamics.
publishDate 2024
dc.date.none.fl_str_mv 2024-02-06
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/18200
10.18540/jcecvl10iss4pp18200
url https://periodicos.ufv.br/jcec/article/view/18200
identifier_str_mv 10.18540/jcecvl10iss4pp18200
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.ufv.br/jcec/article/view/18200/9415
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. 4 (2024): Inpress; 18200
The Journal of Engineering and Exact Sciences; Vol. 10 Núm. 4 (2024): Inpress; 18200
The Journal of Engineering and Exact Sciences; v. 10 n. 4 (2024): Inpress; 18200
2527-1075
reponame:Revista de Engenharia Química e Química
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str Revista de Engenharia Química e Química
collection Revista de Engenharia Química e Química
repository.name.fl_str_mv Revista de Engenharia Química e Química - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv jcec.journal@ufv.br||req2@ufv.br
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