Analytical Investigation on 2-D Unsteady MHD Viscoelastic Flow between Moving Parallel Plates Using RVIM and HPM
In this paper the velocity fields associated with the two-dimensional unsteady magnetohydrodynamic (MHD) flow of a viscous fluid between moving parallel plates have been investigated. The governing Navier-Stokes equations for the flow are reduced to a fourth order nonlinear ordinary differential equ...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Walailak University
2014-07-01
|
| Series: | Walailak Journal of Science and Technology |
| Subjects: | |
| Online Access: | http://wjst.wu.ac.th/index.php/wjst/article/view/653 |
| _version_ | 1828925069997375488 |
|---|---|
| author | Alireza AZIMI Mohammadreza AZIMI |
| author_facet | Alireza AZIMI Mohammadreza AZIMI |
| author_sort | Alireza AZIMI |
| collection | DOAJ |
| description | In this paper the velocity fields associated with the two-dimensional unsteady magnetohydrodynamic (MHD) flow of a viscous fluid between moving parallel plates have been investigated. The governing Navier-Stokes equations for the flow are reduced to a fourth order nonlinear ordinary differential equation. The Homotopy Perturbation Method (HPM) and Reconstruction of Variational Iteration Method (RVIM) have been used to achieve analytical solutions. The obtained approximate results have been compared with numerical ones and results from pervious works in some cases. It has been shown that the current study is accurate and validated and can be used for other nonlinear cases.
doi:10.14456/WJST.2014.70 |
| first_indexed | 2024-12-13T23:08:32Z |
| format | Article |
| id | doaj.art-424059fa38dc4a97b57a8e5ca7645711 |
| institution | Directory Open Access Journal |
| issn | 1686-3933 2228-835X |
| language | English |
| last_indexed | 2024-12-13T23:08:32Z |
| publishDate | 2014-07-01 |
| publisher | Walailak University |
| record_format | Article |
| series | Walailak Journal of Science and Technology |
| spelling | doaj.art-424059fa38dc4a97b57a8e5ca76457112022-12-21T23:28:12ZengWalailak UniversityWalailak Journal of Science and Technology1686-39332228-835X2014-07-01111110.14456/653477Analytical Investigation on 2-D Unsteady MHD Viscoelastic Flow between Moving Parallel Plates Using RVIM and HPMAlireza AZIMI0Mohammadreza AZIMI1Department of Chemical Engineering, College of Chemical Engineering, Mahshahr Branch, Islamic Azad University, MahshahrFaculty of Engineering, Tarbiat Modares University, TehranIn this paper the velocity fields associated with the two-dimensional unsteady magnetohydrodynamic (MHD) flow of a viscous fluid between moving parallel plates have been investigated. The governing Navier-Stokes equations for the flow are reduced to a fourth order nonlinear ordinary differential equation. The Homotopy Perturbation Method (HPM) and Reconstruction of Variational Iteration Method (RVIM) have been used to achieve analytical solutions. The obtained approximate results have been compared with numerical ones and results from pervious works in some cases. It has been shown that the current study is accurate and validated and can be used for other nonlinear cases. doi:10.14456/WJST.2014.70http://wjst.wu.ac.th/index.php/wjst/article/view/653Approximate solutionMHD viscoelastic flowmoving parallel platesHomotopy Perturbation MethodReconstruction of Variational Iteration Method |
| spellingShingle | Alireza AZIMI Mohammadreza AZIMI Analytical Investigation on 2-D Unsteady MHD Viscoelastic Flow between Moving Parallel Plates Using RVIM and HPM Walailak Journal of Science and Technology Approximate solution MHD viscoelastic flow moving parallel plates Homotopy Perturbation Method Reconstruction of Variational Iteration Method |
| title | Analytical Investigation on 2-D Unsteady MHD Viscoelastic Flow between Moving Parallel Plates Using RVIM and HPM |
| title_full | Analytical Investigation on 2-D Unsteady MHD Viscoelastic Flow between Moving Parallel Plates Using RVIM and HPM |
| title_fullStr | Analytical Investigation on 2-D Unsteady MHD Viscoelastic Flow between Moving Parallel Plates Using RVIM and HPM |
| title_full_unstemmed | Analytical Investigation on 2-D Unsteady MHD Viscoelastic Flow between Moving Parallel Plates Using RVIM and HPM |
| title_short | Analytical Investigation on 2-D Unsteady MHD Viscoelastic Flow between Moving Parallel Plates Using RVIM and HPM |
| title_sort | analytical investigation on 2 d unsteady mhd viscoelastic flow between moving parallel plates using rvim and hpm |
| topic | Approximate solution MHD viscoelastic flow moving parallel plates Homotopy Perturbation Method Reconstruction of Variational Iteration Method |
| url | http://wjst.wu.ac.th/index.php/wjst/article/view/653 |
| work_keys_str_mv | AT alirezaazimi analyticalinvestigationon2dunsteadymhdviscoelasticflowbetweenmovingparallelplatesusingrvimandhpm AT mohammadrezaazimi analyticalinvestigationon2dunsteadymhdviscoelasticflowbetweenmovingparallelplatesusingrvimandhpm |