Analysis of couple stress fluid flow with variable viscosity using two homotopy-based methods

In this article, the generalized plane Couette flow of Vogel’s model of incompressible, non-isothermal, couple stress fluid flowing steadily between two parallel walls is investigated. The governing equations are reduced to ordinary differential equations. To investigate the non-linear coupled syste...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Khan Alamgeer, Farooq Muhammad, Nawaz Rashid, Ayaz Muhammad, Ahmad Hijaz, Abu-Zinadah Hanaa, Chu Yu-Ming
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2021
Materias:
Acceso en línea:https://doaj.org/article/2b093d4359a045e7ac005ac81cf0b52f
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:doaj.org-article:2b093d4359a045e7ac005ac81cf0b52f
record_format dspace
spelling oai:doaj.org-article:2b093d4359a045e7ac005ac81cf0b52f2021-12-05T14:11:01ZAnalysis of couple stress fluid flow with variable viscosity using two homotopy-based methods2391-547110.1515/phys-2021-0015https://doaj.org/article/2b093d4359a045e7ac005ac81cf0b52f2021-03-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0015https://doaj.org/toc/2391-5471In this article, the generalized plane Couette flow of Vogel’s model of incompressible, non-isothermal, couple stress fluid flowing steadily between two parallel walls is investigated. The governing equations are reduced to ordinary differential equations. To investigate the non-linear coupled system of differential equations, the optimal homotopy asymptotic method with DJ polynomial and asymptotic homotopy perturbation method have been used. Important flow properties are presented and discussed. We have obtained expressions for velocity, average velocity, shear stress, volume flux and temperature. The results gained employing these techniques are in the form of infinite series; thus, the results can be easily calculated. Comparison of various results, obtained through the suggested approaches, is carried out and an excellent agreement is achieved.Khan AlamgeerFarooq MuhammadNawaz RashidAyaz MuhammadAhmad HijazAbu-Zinadah HanaaChu Yu-MingDe Gruyterarticleasymptotic homotopy perturbation methodoptimal homotopy asymptotic method dj polynomialcouple stress fluidPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 134-145 (2021)
institution DOAJ
collection DOAJ
language EN
topic asymptotic homotopy perturbation method
optimal homotopy asymptotic method dj polynomial
couple stress fluid
Physics
QC1-999
spellingShingle asymptotic homotopy perturbation method
optimal homotopy asymptotic method dj polynomial
couple stress fluid
Physics
QC1-999
Khan Alamgeer
Farooq Muhammad
Nawaz Rashid
Ayaz Muhammad
Ahmad Hijaz
Abu-Zinadah Hanaa
Chu Yu-Ming
Analysis of couple stress fluid flow with variable viscosity using two homotopy-based methods
description In this article, the generalized plane Couette flow of Vogel’s model of incompressible, non-isothermal, couple stress fluid flowing steadily between two parallel walls is investigated. The governing equations are reduced to ordinary differential equations. To investigate the non-linear coupled system of differential equations, the optimal homotopy asymptotic method with DJ polynomial and asymptotic homotopy perturbation method have been used. Important flow properties are presented and discussed. We have obtained expressions for velocity, average velocity, shear stress, volume flux and temperature. The results gained employing these techniques are in the form of infinite series; thus, the results can be easily calculated. Comparison of various results, obtained through the suggested approaches, is carried out and an excellent agreement is achieved.
format article
author Khan Alamgeer
Farooq Muhammad
Nawaz Rashid
Ayaz Muhammad
Ahmad Hijaz
Abu-Zinadah Hanaa
Chu Yu-Ming
author_facet Khan Alamgeer
Farooq Muhammad
Nawaz Rashid
Ayaz Muhammad
Ahmad Hijaz
Abu-Zinadah Hanaa
Chu Yu-Ming
author_sort Khan Alamgeer
title Analysis of couple stress fluid flow with variable viscosity using two homotopy-based methods
title_short Analysis of couple stress fluid flow with variable viscosity using two homotopy-based methods
title_full Analysis of couple stress fluid flow with variable viscosity using two homotopy-based methods
title_fullStr Analysis of couple stress fluid flow with variable viscosity using two homotopy-based methods
title_full_unstemmed Analysis of couple stress fluid flow with variable viscosity using two homotopy-based methods
title_sort analysis of couple stress fluid flow with variable viscosity using two homotopy-based methods
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/2b093d4359a045e7ac005ac81cf0b52f
work_keys_str_mv AT khanalamgeer analysisofcouplestressfluidflowwithvariableviscosityusingtwohomotopybasedmethods
AT farooqmuhammad analysisofcouplestressfluidflowwithvariableviscosityusingtwohomotopybasedmethods
AT nawazrashid analysisofcouplestressfluidflowwithvariableviscosityusingtwohomotopybasedmethods
AT ayazmuhammad analysisofcouplestressfluidflowwithvariableviscosityusingtwohomotopybasedmethods
AT ahmadhijaz analysisofcouplestressfluidflowwithvariableviscosityusingtwohomotopybasedmethods
AT abuzinadahhanaa analysisofcouplestressfluidflowwithvariableviscosityusingtwohomotopybasedmethods
AT chuyuming analysisofcouplestressfluidflowwithvariableviscosityusingtwohomotopybasedmethods
_version_ 1718371465989980160