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

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 re...

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Main Authors: Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales
Format: Article
Language:English
Published: Universidade Federal de Viçosa (UFV) 2024-02-01
Series:The Journal of Engineering and Exact Sciences
Subjects:
Online Access:https://periodicos.ufv.br/jcec/article/view/18200
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author Rômulo Damasclin Chaves dos Santos
Jorge Henrique de Oliveira Sales
author_facet Rômulo Damasclin Chaves dos Santos
Jorge Henrique de Oliveira Sales
author_sort Rômulo Damasclin Chaves dos Santos
collection DOAJ
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.
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institution Kabale University
issn 2527-1075
language English
publishDate 2024-02-01
publisher Universidade Federal de Viçosa (UFV)
record_format Article
series The Journal of Engineering and Exact Sciences
spelling doaj-art-dfd033eca42346939ca427d2e228e7342025-02-02T19:53:56ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752024-02-0110410.18540/jcecvl10iss4pp18200Incompressible Schrödinger Flow with Heat-Transfer: An Introduction to the Analysis of Isotropic Fluid Dynamics in Sobolev Spaces for an Immersed Arbitrary Isothermal GeometryRômulo Damasclin Chaves dos SantosJorge Henrique de Oliveira Sales0State University of Santa Cruz – Department of Exact Sciences, Ilhéus, Bahia, Brazil 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. https://periodicos.ufv.br/jcec/article/view/18200Incompressible Schrödinger Flow.Isothermal Immersed Geometry.Heat Transfer.Mathematical Modeling.
spellingShingle Rômulo Damasclin Chaves dos Santos
Jorge Henrique de Oliveira Sales
Incompressible Schrödinger Flow with Heat-Transfer: An Introduction to the Analysis of Isotropic Fluid Dynamics in Sobolev Spaces for an Immersed Arbitrary Isothermal Geometry
The Journal of Engineering and Exact Sciences
Incompressible Schrödinger Flow.
Isothermal Immersed Geometry.
Heat Transfer.
Mathematical Modeling.
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
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_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_sort incompressible schrodinger flow with heat transfer an introduction to the analysis of isotropic fluid dynamics in sobolev spaces for an immersed arbitrary isothermal geometry
topic Incompressible Schrödinger Flow.
Isothermal Immersed Geometry.
Heat Transfer.
Mathematical Modeling.
url https://periodicos.ufv.br/jcec/article/view/18200
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