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

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 Optima...

Descripción completa

Detalles Bibliográficos
Autores principales: Farooq, Muhammad, Khan, Alamgeer, Nawaz, Rashid, Islam, Saeed, Ayaz, Muhammad, Chu, Yu-Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7876022/
https://www.ncbi.nlm.nih.gov/pubmed/33568720
http://dx.doi.org/10.1038/s41598-021-82746-8
_version_ 1783649889839742976
author Farooq, Muhammad
Khan, Alamgeer
Nawaz, Rashid
Islam, Saeed
Ayaz, Muhammad
Chu, Yu-Ming
author_facet Farooq, Muhammad
Khan, Alamgeer
Nawaz, Rashid
Islam, Saeed
Ayaz, Muhammad
Chu, Yu-Ming
author_sort Farooq, Muhammad
collection PubMed
description 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 Online
Article
Text
id pubmed-7876022
institution National Center for Biotechnology Information
language English
publishDate 2021
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-78760222021-02-11 Comparative study of generalized couette flow of couple stress fluid using optimal homotopy asymptotic method and new iterative method Farooq, Muhammad Khan, Alamgeer Nawaz, Rashid Islam, Saeed Ayaz, Muhammad Chu, Yu-Ming Sci Rep Article 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. Nature Publishing Group UK 2021-02-10 /pmc/articles/PMC7876022/ /pubmed/33568720 http://dx.doi.org/10.1038/s41598-021-82746-8 Text en © The Author(s) 2021 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Farooq, Muhammad
Khan, Alamgeer
Nawaz, Rashid
Islam, Saeed
Ayaz, Muhammad
Chu, Yu-Ming
Comparative study of generalized couette flow of couple stress fluid using optimal homotopy asymptotic method and new iterative method
title 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_short 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
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7876022/
https://www.ncbi.nlm.nih.gov/pubmed/33568720
http://dx.doi.org/10.1038/s41598-021-82746-8
work_keys_str_mv AT farooqmuhammad comparativestudyofgeneralizedcouetteflowofcouplestressfluidusingoptimalhomotopyasymptoticmethodandnewiterativemethod
AT khanalamgeer comparativestudyofgeneralizedcouetteflowofcouplestressfluidusingoptimalhomotopyasymptoticmethodandnewiterativemethod
AT nawazrashid comparativestudyofgeneralizedcouetteflowofcouplestressfluidusingoptimalhomotopyasymptoticmethodandnewiterativemethod
AT islamsaeed comparativestudyofgeneralizedcouetteflowofcouplestressfluidusingoptimalhomotopyasymptoticmethodandnewiterativemethod
AT ayazmuhammad comparativestudyofgeneralizedcouetteflowofcouplestressfluidusingoptimalhomotopyasymptoticmethodandnewiterativemethod
AT chuyuming comparativestudyofgeneralizedcouetteflowofcouplestressfluidusingoptimalhomotopyasymptoticmethodandnewiterativemethod

Ejemplares similares