Analytical approach for solving two-dimensional laminar viscous flow between slowly expanding and contracting walls
In this article, an analysis has been performed to study the two dimensional viscous flow between slowly expanding and contracting walls with weak permeability. The governing equations for the base fluid of this problem are described by dimensionless parameters wall dilation rate (α) and permeation...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2016-12-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447915001367 |
| _version_ | 1830136362750181376 |
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| author | E. Rahimi A. Rahimifar R. Mohammadyari I. Rahimipetroudi M. Rahimi-Esbo |
| author_facet | E. Rahimi A. Rahimifar R. Mohammadyari I. Rahimipetroudi M. Rahimi-Esbo |
| author_sort | E. Rahimi |
| collection | DOAJ |
| description | In this article, an analysis has been performed to study the two dimensional viscous flow between slowly expanding and contracting walls with weak permeability. The governing equations for the base fluid of this problem are described by dimensionless parameters wall dilation rate (α) and permeation Reynolds number (Re). The nonlinear differential equation is solved using two different analytically approaches by Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM). Then, the results are compared with numerical solution by fourth order Runge–Kutta–Fehlberg technique. Furthermore, the effects of dimensionless parameters on the velocity distributions are investigated in this research. As an important outcome, it is observed that, great agreement was found between the obtained results from the analytical and the numerical models. |
| first_indexed | 2024-12-17T07:51:02Z |
| format | Article |
| id | doaj.art-aadd9d41584645dfa6998ee1df60a470 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-12-17T07:51:02Z |
| publishDate | 2016-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-aadd9d41584645dfa6998ee1df60a4702022-12-21T21:57:52ZengElsevierAin Shams Engineering Journal2090-44792016-12-01741089109710.1016/j.asej.2015.07.013Analytical approach for solving two-dimensional laminar viscous flow between slowly expanding and contracting wallsE. Rahimi0A. Rahimifar1R. Mohammadyari2I. Rahimipetroudi3M. Rahimi-Esbo4Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Arak, IranDepartment of Mechanical Engineering, Babol University of Technology, Babol, IranDepartment of Mathematics, Buinzahra Branch, Islamic Azad University, Buinzahra, IranYoung Researchers Club, Sari Branch, Islamic Azad University, Sari, IranDepartment of Mathematics, Buinzahra Branch, Islamic Azad University, Buinzahra, IranIn this article, an analysis has been performed to study the two dimensional viscous flow between slowly expanding and contracting walls with weak permeability. The governing equations for the base fluid of this problem are described by dimensionless parameters wall dilation rate (α) and permeation Reynolds number (Re). The nonlinear differential equation is solved using two different analytically approaches by Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM). Then, the results are compared with numerical solution by fourth order Runge–Kutta–Fehlberg technique. Furthermore, the effects of dimensionless parameters on the velocity distributions are investigated in this research. As an important outcome, it is observed that, great agreement was found between the obtained results from the analytical and the numerical models.http://www.sciencedirect.com/science/article/pii/S2090447915001367Homotopy Analysis MethodHomotopy Perturbation MethodViscous flowWeak permeability |
| spellingShingle | E. Rahimi A. Rahimifar R. Mohammadyari I. Rahimipetroudi M. Rahimi-Esbo Analytical approach for solving two-dimensional laminar viscous flow between slowly expanding and contracting walls Ain Shams Engineering Journal Homotopy Analysis Method Homotopy Perturbation Method Viscous flow Weak permeability |
| title | Analytical approach for solving two-dimensional laminar viscous flow between slowly expanding and contracting walls |
| title_full | Analytical approach for solving two-dimensional laminar viscous flow between slowly expanding and contracting walls |
| title_fullStr | Analytical approach for solving two-dimensional laminar viscous flow between slowly expanding and contracting walls |
| title_full_unstemmed | Analytical approach for solving two-dimensional laminar viscous flow between slowly expanding and contracting walls |
| title_short | Analytical approach for solving two-dimensional laminar viscous flow between slowly expanding and contracting walls |
| title_sort | analytical approach for solving two dimensional laminar viscous flow between slowly expanding and contracting walls |
| topic | Homotopy Analysis Method Homotopy Perturbation Method Viscous flow Weak permeability |
| url | http://www.sciencedirect.com/science/article/pii/S2090447915001367 |
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