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...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Shahid Chamran University of Ahvaz
2021-04-01
|
| Series: | Journal of Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://jacm.scu.ac.ir/article_15878_994c409c9baa211ab16114fe636d2e1f.pdf |
| _version_ | 1819060651556864000 |
|---|---|
| author | Alamgeer Khan Muhammad Farooq Rashid Nawaz Muhammad Ayaz Saeed Islam |
| author_facet | Alamgeer Khan Muhammad Farooq Rashid Nawaz Muhammad Ayaz Saeed Islam |
| author_sort | Alamgeer Khan |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-21T14:30:23Z |
| format | Article |
| id | doaj.art-aff0df8a3e8e431b8e9461ac56c441d7 |
| institution | Directory Open Access Journal |
| issn | 2383-4536 2383-4536 |
| language | English |
| last_indexed | 2024-12-21T14:30:23Z |
| publishDate | 2021-04-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-aff0df8a3e8e431b8e9461ac56c441d72022-12-21T19:00:31ZengShahid 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 |
| 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 |
| 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_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_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_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 |
| 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 |