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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...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2021
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Materias: | |
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 |
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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 |
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