Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular Conduct

The purpose of the present study is to obtain regularity results and existence topics regarding an Eyring–Powell fluid. The geometry under study is given by a semi-infinite conduct with a rectangular cross section of dimensions L×H. Starting from the initial velocity profiles (u01,u02) in xy-planes,...

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Autores: Rahman, Saeed, Díaz Palencia, José Luis, Nomaq, Tariq, Salgado, Pablo, Roa González, Julián
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad a Distancia de Madrid (UDIMA)
Repositorio:udiMundus. Repositorio Institucional de la Universidad a Distancia de Madrid
OAI Identifier:oai:udimundus.udima.es:20.500.12226/1445
Acceso en línea:http://hdl.handle.net/20.500.12226/1445
Access Level:acceso abierto
Palabra clave:nonlinear flow
Eyring–Powell fluid
geometrically three-dimensional flow
unsteady flow
global existence
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oai_identifier_str oai:udimundus.udima.es:20.500.12226/1445
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spelling Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular ConductRahman, SaeedDíaz Palencia, José LuisNomaq, TariqSalgado, PabloRoa González, Juliánnonlinear flowEyring–Powell fluidgeometrically three-dimensional flowunsteady flowglobal existenceThe purpose of the present study is to obtain regularity results and existence topics regarding an Eyring–Powell fluid. The geometry under study is given by a semi-infinite conduct with a rectangular cross section of dimensions L×H. Starting from the initial velocity profiles (u01,u02) in xy-planes, the fluid flows along the z-axis subjected to a constant magnetic field and Dirichlet boundary conditions. The global existence is shown in different cases. First, the initial conditions are considered to be squared-integrable; this is the Lebesgue space (u01,u02)∈L2(Ω), Ω=[0,L]×[0,H]×(0,∞). Afterward, the results are extended for (u01,u02)∈Lp(Ω), p>2. Lastly, the existence criteria are obtained when (u01,u02)∈H1(Ω). A physical interpretation of the obtained bounds is provided, showing the rheological effects of shear thinningand shear thickening in Eyring–Powell fluids.2022-23Facultad de Ciencias de la Salud y de la Educación2022info:eu-repo/semantics/articlehttp://hdl.handle.net/20.500.12226/1445reponame:udiMundus. Repositorio Institucional de la Universidad a Distancia de Madridinstname:Universidad a Distancia de Madrid (UDIMA)Ingléshttp://creativecommons.org/licenses/by-sa/4.0/info:eu-repo/semantics/openAccessoai:udimundus.udima.es:20.500.12226/14452026-06-02T12:44:31Z
dc.title.none.fl_str_mv Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular Conduct
title Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular Conduct
spellingShingle Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular Conduct
Rahman, Saeed
nonlinear flow
Eyring–Powell fluid
geometrically three-dimensional flow
unsteady flow
global existence
title_short Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular Conduct
title_full Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular Conduct
title_fullStr Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular Conduct
title_full_unstemmed Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular Conduct
title_sort Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular Conduct
dc.creator.none.fl_str_mv Rahman, Saeed
Díaz Palencia, José Luis
Nomaq, Tariq
Salgado, Pablo
Roa González, Julián
author Rahman, Saeed
author_facet Rahman, Saeed
Díaz Palencia, José Luis
Nomaq, Tariq
Salgado, Pablo
Roa González, Julián
author_role author
author2 Díaz Palencia, José Luis
Nomaq, Tariq
Salgado, Pablo
Roa González, Julián
author2_role author
author
author
author
dc.subject.none.fl_str_mv nonlinear flow
Eyring–Powell fluid
geometrically three-dimensional flow
unsteady flow
global existence
topic nonlinear flow
Eyring–Powell fluid
geometrically three-dimensional flow
unsteady flow
global existence
description The purpose of the present study is to obtain regularity results and existence topics regarding an Eyring–Powell fluid. The geometry under study is given by a semi-infinite conduct with a rectangular cross section of dimensions L×H. Starting from the initial velocity profiles (u01,u02) in xy-planes, the fluid flows along the z-axis subjected to a constant magnetic field and Dirichlet boundary conditions. The global existence is shown in different cases. First, the initial conditions are considered to be squared-integrable; this is the Lebesgue space (u01,u02)∈L2(Ω), Ω=[0,L]×[0,H]×(0,∞). Afterward, the results are extended for (u01,u02)∈Lp(Ω), p>2. Lastly, the existence criteria are obtained when (u01,u02)∈H1(Ω). A physical interpretation of the obtained bounds is provided, showing the rheological effects of shear thinningand shear thickening in Eyring–Powell fluids.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12226/1445
url http://hdl.handle.net/20.500.12226/1445
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv http://creativecommons.org/licenses/by-sa/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-sa/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Facultad de Ciencias de la Salud y de la Educación
publisher.none.fl_str_mv Facultad de Ciencias de la Salud y de la Educación
dc.source.none.fl_str_mv reponame:udiMundus. Repositorio Institucional de la Universidad a Distancia de Madrid
instname:Universidad a Distancia de Madrid (UDIMA)
instname_str Universidad a Distancia de Madrid (UDIMA)
reponame_str udiMundus. Repositorio Institucional de la Universidad a Distancia de Madrid
collection udiMundus. Repositorio Institucional de la Universidad a Distancia de Madrid
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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