Comparative study of generalized couette flow of couple stress fluid using optimal homotopy asymptotic method and new iterative method

Abstract In this research work, we have studied the steady generalized Couette flow of couple stress fluid between two parallel plates considering the non-isothermal effects. The governing equations that are, continuity, momentum and energy equations are reduced to ordinary differential equations. T...

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Autores principales: Muhammad Farooq, Alamgeer Khan, Rashid Nawaz, Saeed Islam, Muhammad Ayaz, Yu-Ming Chu
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Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/d742a0cce3974b77917417020d1a4d45
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spelling oai:doaj.org-article:d742a0cce3974b77917417020d1a4d452021-12-02T12:09:32ZComparative study of generalized couette flow of couple stress fluid using optimal homotopy asymptotic method and new iterative method10.1038/s41598-021-82746-82045-2322https://doaj.org/article/d742a0cce3974b77917417020d1a4d452021-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-82746-8https://doaj.org/toc/2045-2322Abstract In this research work, we have studied the steady generalized Couette flow of couple stress fluid between two parallel plates considering the non-isothermal effects. The governing equations that are, continuity, momentum and energy equations are reduced to ordinary differential equations. The Optimal Homotopy Asymptotic Method (OHAM) and New Iterative Method (NIM) are used to solve this coupled system of differential equations. Using the said methods, we have obtained expressions for velocity profile, temperature distribution, volume flux, average velocity and shear stress. The results of OHAM and NIM are compared numerically as well as graphically and a tremendous agreement is attained.Muhammad FarooqAlamgeer KhanRashid NawazSaeed IslamMuhammad AyazYu-Ming ChuNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-20 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Muhammad Farooq
Alamgeer Khan
Rashid Nawaz
Saeed Islam
Muhammad Ayaz
Yu-Ming Chu
Comparative study of generalized couette flow of couple stress fluid using optimal homotopy asymptotic method and new iterative method
description Abstract In this research work, we have studied the steady generalized Couette flow of couple stress fluid between two parallel plates considering the non-isothermal effects. The governing equations that are, continuity, momentum and energy equations are reduced to ordinary differential equations. The Optimal Homotopy Asymptotic Method (OHAM) and New Iterative Method (NIM) are used to solve this coupled system of differential equations. Using the said methods, we have obtained expressions for velocity profile, temperature distribution, volume flux, average velocity and shear stress. The results of OHAM and NIM are compared numerically as well as graphically and a tremendous agreement is attained.
format article
author Muhammad Farooq
Alamgeer Khan
Rashid Nawaz
Saeed Islam
Muhammad Ayaz
Yu-Ming Chu
author_facet Muhammad Farooq
Alamgeer Khan
Rashid Nawaz
Saeed Islam
Muhammad Ayaz
Yu-Ming Chu
author_sort Muhammad Farooq
title Comparative study of generalized couette flow of couple stress fluid using optimal homotopy asymptotic method and new iterative method
title_short Comparative study of generalized couette flow of couple stress fluid using optimal homotopy asymptotic method and new iterative method
title_full Comparative study of generalized couette flow of couple stress fluid using optimal homotopy asymptotic method and new iterative method
title_fullStr Comparative study of generalized couette flow of couple stress fluid using optimal homotopy asymptotic method and new iterative method
title_full_unstemmed Comparative study of generalized couette flow of couple stress fluid using optimal homotopy asymptotic method and new iterative method
title_sort comparative study of generalized couette flow of couple stress fluid using optimal homotopy asymptotic method and new iterative method
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/d742a0cce3974b77917417020d1a4d45
work_keys_str_mv AT muhammadfarooq comparativestudyofgeneralizedcouetteflowofcouplestressfluidusingoptimalhomotopyasymptoticmethodandnewiterativemethod
AT alamgeerkhan comparativestudyofgeneralizedcouetteflowofcouplestressfluidusingoptimalhomotopyasymptoticmethodandnewiterativemethod
AT rashidnawaz comparativestudyofgeneralizedcouetteflowofcouplestressfluidusingoptimalhomotopyasymptoticmethodandnewiterativemethod
AT saeedislam comparativestudyofgeneralizedcouetteflowofcouplestressfluidusingoptimalhomotopyasymptoticmethodandnewiterativemethod
AT muhammadayaz comparativestudyofgeneralizedcouetteflowofcouplestressfluidusingoptimalhomotopyasymptoticmethodandnewiterativemethod
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