On the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosity

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In this work, we present some numerical results about the problem of a rising hot solid sphere immersed in a Newtonian fluid which viscosity depends on the temperature. The model formulated to solve the problem considers two dimensionless parameters: The Peclet number, Pe and a parameter related wit...

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Detalles Bibliográficos
Autor: Zambrano, Marcos
Formato: artículo
Fecha de Publicación:2019
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:inglés
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/2623
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2623
Nivel de acceso:acceso abierto
Materia:Newtonian fluid
asymptotic structure
element finite method
contact surface
Fluído newtoniano
estructura asintótica
método del elemento finito
superficie de contacto
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spelling On the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosityOn the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosityZambrano, MarcosNewtonian fluidasymptotic structureelement finite methodcontact surfaceFluído newtonianoestructura asintóticamétodo del elemento finitosuperficie de contactoIn this work, we present some numerical results about the problem of a rising hot solid sphere immersed in a Newtonian fluid which viscosity depends on the temperature. The model formulated to solve the problem considers two dimensionless parameters: The Peclet number, Pe and a parameter related with the viscosity, e. Small and large variations on e lead to interesting results segregated into two regimes which exhibit an asymptotic structure.To carry out the computations to solve the proposed model, the element finite method was used along with a non-slip boundary condition for the contact surface between the sphere and the fluid and the results obtained were compared to those shown recently in papers related wherein contact surface has a slip-boundary condition prescribed.En este trabajo, presentamos algunos resultados numéricos sobre el problema de una esfera solida caliente ascendente que se encuentra dentro de un fluído newtoniano cuya viscosidad depende de la temperatura. El modelo formulado para resolver el problema considera dos parámetros adimensionales: El número de Peclet, Pe y un parámetro relacionado con la viscosidad, e. Las pequeñas y grandes variaciones sobre e conducen a interesantesresultados que son divididas en dos regímenes los cuales presentan una estructura asintótica. Para llevar a cabo los cálculos a fin de resolver el modelo propuesto, el método de elemento finito fue usado junto con una condición de frontera no-slip para la superficie de contacto entre la esfera y el fluído y los resultados fueron comparados a aquellos recientemente mostrados en artículos relacionados en donde la superficie de contacto tiene prescrita una condición de frontera slip.National University of Trujillo - Academic Department of Mathematics2019-12-24info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdftext/htmlhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2623Selecciones Matemáticas; Vol. 6 No. 02 (2019): August - December; 140-147Selecciones Matemáticas; Vol. 6 Núm. 02 (2019): Agosto-Diciembre; 140-147Selecciones Matemáticas; v. 6 n. 02 (2019): Agosto-Diciembre; 140-1472411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUenghttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2623/2642https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2623/2662Derechos de autor 2019 Selecciones Matemáticasinfo:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/26232022-10-21T18:52:01Z
dc.title.none.fl_str_mv On the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosity
On the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosity
title On the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosity
spellingShingle On the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosity
Zambrano, Marcos
Newtonian fluid
asymptotic structure
element finite method
contact surface
Fluído newtoniano
estructura asintótica
método del elemento finito
superficie de contacto
title_short On the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosity
title_full On the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosity
title_fullStr On the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosity
title_full_unstemmed On the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosity
title_sort On the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosity
dc.creator.none.fl_str_mv Zambrano, Marcos
author Zambrano, Marcos
author_facet Zambrano, Marcos
author_role author
dc.subject.none.fl_str_mv Newtonian fluid
asymptotic structure
element finite method
contact surface
Fluído newtoniano
estructura asintótica
método del elemento finito
superficie de contacto
topic Newtonian fluid
asymptotic structure
element finite method
contact surface
Fluído newtoniano
estructura asintótica
método del elemento finito
superficie de contacto
description In this work, we present some numerical results about the problem of a rising hot solid sphere immersed in a Newtonian fluid which viscosity depends on the temperature. The model formulated to solve the problem considers two dimensionless parameters: The Peclet number, Pe and a parameter related with the viscosity, e. Small and large variations on e lead to interesting results segregated into two regimes which exhibit an asymptotic structure.To carry out the computations to solve the proposed model, the element finite method was used along with a non-slip boundary condition for the contact surface between the sphere and the fluid and the results obtained were compared to those shown recently in papers related wherein contact surface has a slip-boundary condition prescribed.
publishDate 2019
dc.date.none.fl_str_mv 2019-12-24
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2623
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2623
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2623/2642
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2623/2662
dc.rights.none.fl_str_mv Derechos de autor 2019 Selecciones Matemáticas
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2019 Selecciones Matemáticas
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
text/html
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 6 No. 02 (2019): August - December; 140-147
Selecciones Matemáticas; Vol. 6 Núm. 02 (2019): Agosto-Diciembre; 140-147
Selecciones Matemáticas; v. 6 n. 02 (2019): Agosto-Diciembre; 140-147
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 13.042316
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