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...

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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:	asymptotic homotopy perturbation method optimal homotopy asymptotic method dj polynomial couple stress fluid Physics QC1-999
Acceso en línea:	https://doaj.org/article/2b093d4359a045e7ac005ac81cf0b52f
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id	oai:doaj.org-article:2b093d4359a045e7ac005ac81cf0b52f
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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

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

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