Regularity and profiles of solutions to a higher order Eyring–Powell fluid with Darcy–Forchheimer porosity term

A flow of Eyring–Powell type constitutes a remarkable area of analysis to model non-Newtonian processes in fluids. The associated diffusion term comes from the general kinetic theory of liquids and permits to account for a wider diffusivity, which is applicable for qualitatively low to higher shear...

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Autores: Rahman, Saeed, Díaz Palencia, José Luis
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universidad a Distancia de Madrid (UDIMA)
Repositorio:udiMundus. Repositorio Institucional de la Universidad a Distancia de Madrid
OAI Identifier:oai:udimundus.udima.es:20.500.12226/1424
Acesso em linha:http://hdl.handle.net/20.500.12226/1424
https://doi.org/10.1002/mma.8845
Access Level:acceso abierto
Palavra-chave:Eyring-Powell
Regularity
Existence
Uniqueness
Hamilton-Jacobi
Asymptotic expansion
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spelling Regularity and profiles of solutions to a higher order Eyring–Powell fluid with Darcy–Forchheimer porosity termRahman, SaeedDíaz Palencia, José LuisEyring-PowellRegularityExistenceUniquenessHamilton-JacobiAsymptotic expansionA flow of Eyring–Powell type constitutes a remarkable area of analysis to model non-Newtonian processes in fluids. The associated diffusion term comes from the general kinetic theory of liquids and permits to account for a wider diffusivity, which is applicable for qualitatively low to higher shear stresses. The goal of the present article is to introduce a generalization of an Eyring–Powell fluid by the introduction of a porous reaction term (of Darcy–Forchheimer type) and a perturbation with a higher order operator. In particular, we consider that our model is an extension of a classical Eyring–Powell fluid in the same manner as introduced for other equations (see the extended Fisher–Kolmogorov model). The obtained equation is novel and requires analysis about existence, regularity and uniqueness of solutions. Stationary solutions are explored under the definition of a Hamiltonian. In addition, profiles of solutions are obtained with an exponential scaling that ends in a Hamilton–Jacobi equation. Eventually, some numerical assessments are introduced to validate the hypothesis done, and to discuss about the accuracy of the analytical approach followed.2022-23Facultad de Ciencias de la Salud y de la Educación2022info:eu-repo/semantics/articlehttp://hdl.handle.net/20.500.12226/1424https://doi.org/10.1002/mma.8845reponame:udiMundus. Repositorio Institucional de la Universidad a Distancia de Madridinstname:Universidad a Distancia de Madrid (UDIMA)Inglésinfo:eu-repo/semantics/openAccessoai:udimundus.udima.es:20.500.12226/14242026-06-02T12:44:31Z
dc.title.none.fl_str_mv Regularity and profiles of solutions to a higher order Eyring–Powell fluid with Darcy–Forchheimer porosity term
title Regularity and profiles of solutions to a higher order Eyring–Powell fluid with Darcy–Forchheimer porosity term
spellingShingle Regularity and profiles of solutions to a higher order Eyring–Powell fluid with Darcy–Forchheimer porosity term
Rahman, Saeed
Eyring-Powell
Regularity
Existence
Uniqueness
Hamilton-Jacobi
Asymptotic expansion
title_short Regularity and profiles of solutions to a higher order Eyring–Powell fluid with Darcy–Forchheimer porosity term
title_full Regularity and profiles of solutions to a higher order Eyring–Powell fluid with Darcy–Forchheimer porosity term
title_fullStr Regularity and profiles of solutions to a higher order Eyring–Powell fluid with Darcy–Forchheimer porosity term
title_full_unstemmed Regularity and profiles of solutions to a higher order Eyring–Powell fluid with Darcy–Forchheimer porosity term
title_sort Regularity and profiles of solutions to a higher order Eyring–Powell fluid with Darcy–Forchheimer porosity term
dc.creator.none.fl_str_mv Rahman, Saeed
Díaz Palencia, José Luis
author Rahman, Saeed
author_facet Rahman, Saeed
Díaz Palencia, José Luis
author_role author
author2 Díaz Palencia, José Luis
author2_role author
dc.subject.none.fl_str_mv Eyring-Powell
Regularity
Existence
Uniqueness
Hamilton-Jacobi
Asymptotic expansion
topic Eyring-Powell
Regularity
Existence
Uniqueness
Hamilton-Jacobi
Asymptotic expansion
description A flow of Eyring–Powell type constitutes a remarkable area of analysis to model non-Newtonian processes in fluids. The associated diffusion term comes from the general kinetic theory of liquids and permits to account for a wider diffusivity, which is applicable for qualitatively low to higher shear stresses. The goal of the present article is to introduce a generalization of an Eyring–Powell fluid by the introduction of a porous reaction term (of Darcy–Forchheimer type) and a perturbation with a higher order operator. In particular, we consider that our model is an extension of a classical Eyring–Powell fluid in the same manner as introduced for other equations (see the extended Fisher–Kolmogorov model). The obtained equation is novel and requires analysis about existence, regularity and uniqueness of solutions. Stationary solutions are explored under the definition of a Hamiltonian. In addition, profiles of solutions are obtained with an exponential scaling that ends in a Hamilton–Jacobi equation. Eventually, some numerical assessments are introduced to validate the hypothesis done, and to discuss about the accuracy of the analytical approach followed.
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/20.500.12226/1424
https://doi.org/10.1002/mma.8845
url http://hdl.handle.net/20.500.12226/1424
https://doi.org/10.1002/mma.8845
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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 15,300719

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