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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De Gruyter
2021
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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) |
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asymptotic homotopy perturbation method optimal homotopy asymptotic method dj polynomial couple stress fluid Physics QC1-999 |
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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 |