Comparative Study of Plane Poiseuille Flow of Non-isothermal ‎Couple ‎Stress Fluid of Reynold Viscosity Model using Optimal ‎Homotopy ‎Asymptotic Method and New Iterative Method

In this paper, we have explored the steady Poiseuille flow of couple stress fluid between two parallel plates under ‎the influence of non-isothermal effects of Reynold viscosity model, using Optimal Homotopy Asymptotic Method ‎‎(OHAM) and New Iterative Method (NIM). We obtained expressions for veloc...

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Main Authors:	Alamgeer Khan, Muhammad Farooq, Rashid Nawaz, Muhammad Ayaz, Saeed Islam
Format:	Article
Language:	English
Published:	Shahid Chamran University of Ahvaz 2021-04-01
Series:	Journal of Applied and Computational Mechanics
Subjects:	optimal homotopy asymptotic method new iterative method couple stress fluid
Online Access:	https://jacm.scu.ac.ir/article_15878_994c409c9baa211ab16114fe636d2e1f.pdf

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spelling	doaj-aff0df8a3e8e431b8e9461ac56c441d72021-02-04T16:51:01ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362021-04-017240441410.22055/jacm.2020.34964.252215878Comparative Study of Plane Poiseuille Flow of Non-isothermal ‎Couple ‎Stress Fluid of Reynold Viscosity Model using Optimal ‎Homotopy ‎Asymptotic Method and New Iterative MethodAlamgeer Khan0Muhammad Farooq1Rashid Nawaz2Muhammad Ayaz3Saeed Islam4Department of Mathematics, Abdul Wali Khan University, Garden Campus, Mardan, KP, PakistanDepartment of Mathematics, Abdul Wali Khan University, Garden Campus, Mardan, KP, PakistanDepartment of Mathematics, Abdul Wali Khan University, Garden Campus, Mardan, KP, PakistanDepartment of Mathematics, Abdul Wali Khan University, Garden Campus, Mardan, KP, PakistanDepartment of Mathematics, Abdul Wali Khan University, Garden Campus, Mardan, KP, PakistanIn this paper, we have explored the steady Poiseuille flow of couple stress fluid between two parallel plates under ‎the influence of non-isothermal effects of Reynold viscosity model, using Optimal Homotopy Asymptotic Method ‎‎(OHAM) and New Iterative Method (NIM). We obtained expressions for velocity profile, temperature distribution, ‎average velocity, volume flux and shear stress. The solutions obtained using these methods are in the form of ‎infinite series; therefore, they can be easily computed. Comparative results of solutions obtained by both methods ‎are given using different tables and graphs.https://jacm.scu.ac.ir/article_15878_994c409c9baa211ab16114fe636d2e1f.pdfoptimal homotopy asymptotic methodnew iterative methodcouple stress fluid
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Alamgeer Khan Muhammad Farooq Rashid Nawaz Muhammad Ayaz Saeed Islam
spellingShingle	Alamgeer Khan Muhammad Farooq Rashid Nawaz Muhammad Ayaz Saeed Islam Comparative Study of Plane Poiseuille Flow of Non-isothermal ‎Couple ‎Stress Fluid of Reynold Viscosity Model using Optimal ‎Homotopy ‎Asymptotic Method and New Iterative Method Journal of Applied and Computational Mechanics optimal homotopy asymptotic method new iterative method couple stress fluid
author_facet	Alamgeer Khan Muhammad Farooq Rashid Nawaz Muhammad Ayaz Saeed Islam
author_sort	Alamgeer Khan
title	Comparative Study of Plane Poiseuille Flow of Non-isothermal ‎Couple ‎Stress Fluid of Reynold Viscosity Model using Optimal ‎Homotopy ‎Asymptotic Method and New Iterative Method
title_short	Comparative Study of Plane Poiseuille Flow of Non-isothermal ‎Couple ‎Stress Fluid of Reynold Viscosity Model using Optimal ‎Homotopy ‎Asymptotic Method and New Iterative Method
title_full	Comparative Study of Plane Poiseuille Flow of Non-isothermal ‎Couple ‎Stress Fluid of Reynold Viscosity Model using Optimal ‎Homotopy ‎Asymptotic Method and New Iterative Method
title_fullStr	Comparative Study of Plane Poiseuille Flow of Non-isothermal ‎Couple ‎Stress Fluid of Reynold Viscosity Model using Optimal ‎Homotopy ‎Asymptotic Method and New Iterative Method
title_full_unstemmed	Comparative Study of Plane Poiseuille Flow of Non-isothermal ‎Couple ‎Stress Fluid of Reynold Viscosity Model using Optimal ‎Homotopy ‎Asymptotic Method and New Iterative Method
title_sort	comparative study of plane poiseuille flow of non-isothermal ‎couple ‎stress fluid of reynold viscosity model using optimal ‎homotopy ‎asymptotic method and new iterative method
publisher	Shahid Chamran University of Ahvaz
series	Journal of Applied and Computational Mechanics
issn	2383-4536 2383-4536
publishDate	2021-04-01
description	In this paper, we have explored the steady Poiseuille flow of couple stress fluid between two parallel plates under ‎the influence of non-isothermal effects of Reynold viscosity model, using Optimal Homotopy Asymptotic Method ‎‎(OHAM) and New Iterative Method (NIM). We obtained expressions for velocity profile, temperature distribution, ‎average velocity, volume flux and shear stress. The solutions obtained using these methods are in the form of ‎infinite series; therefore, they can be easily computed. Comparative results of solutions obtained by both methods ‎are given using different tables and graphs.
topic	optimal homotopy asymptotic method new iterative method couple stress fluid
url	https://jacm.scu.ac.ir/article_15878_994c409c9baa211ab16114fe636d2e1f.pdf
work_keys_str_mv	AT alamgeerkhan comparativestudyofplanepoiseuilleflowofnonisothermalcouplestressfluidofreynoldviscositymodelusingoptimalhomotopyasymptoticmethodandnewiterativemethod AT muhammadfarooq comparativestudyofplanepoiseuilleflowofnonisothermalcouplestressfluidofreynoldviscositymodelusingoptimalhomotopyasymptoticmethodandnewiterativemethod AT rashidnawaz comparativestudyofplanepoiseuilleflowofnonisothermalcouplestressfluidofreynoldviscositymodelusingoptimalhomotopyasymptoticmethodandnewiterativemethod AT muhammadayaz comparativestudyofplanepoiseuilleflowofnonisothermalcouplestressfluidofreynoldviscositymodelusingoptimalhomotopyasymptoticmethodandnewiterativemethod AT saeedislam comparativestudyofplanepoiseuilleflowofnonisothermalcouplestressfluidofreynoldviscositymodelusingoptimalhomotopyasymptoticmethodandnewiterativemethod
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Comparative Study of Plane Poiseuille Flow of Non-isothermal ‎Couple ‎Stress Fluid of Reynold Viscosity Model using Optimal ‎Homotopy ‎Asymptotic Method and New Iterative Method

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