Exact Solution for Peristaltic Flow of Jeffrey Fluid Model in a Three Dimensional Rectangular Duct having Slip at the Walls
In the present article, we tried to develop the exact solutions for the peristaltic flow of Jeffrey fluid model in a cross section of three dimensional rectangular channel having slip at the peristaltic boundaries. Equation of motion and boundary conditions are made dimensionless by introducing some...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Applied Bionics and Biomechanics |
| Online Access: | http://dx.doi.org/10.3233/ABB-140090 |
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| author | Arshad Riaz S. Nadeem R. Ellahi A. Zeeshan |
| author_facet | Arshad Riaz S. Nadeem R. Ellahi A. Zeeshan |
| author_sort | Arshad Riaz |
| collection | DOAJ |
| description | In the present article, we tried to develop the exact solutions for the peristaltic flow of Jeffrey fluid model in a cross section of three dimensional rectangular channel having slip at the peristaltic boundaries. Equation of motion and boundary conditions are made dimensionless by introducing some suitable nondimensional parameters. The flow is considered under the approximations of low Reynolds number and long wavelength. Exact solution of the obtained linear boundary value problem is evaluated. However, the expression for pressure rise is calculated numerically with the help of numerical integration. All pertinent parameters are discussed through graphs of pressure rise, pressure gradient, velocity and stream functions. It is found that presence of slip at the walls reduces the flow velocity but increases the peristaltic pumping characteristics. |
| format | Article |
| id | doaj-art-d3ab63a0bab74763ad41b2c577934b68 |
| institution | Kabale University |
| issn | 1176-2322 1754-2103 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Applied Bionics and Biomechanics |
| spelling | doaj-art-d3ab63a0bab74763ad41b2c577934b682025-08-20T03:24:12ZengWileyApplied Bionics and Biomechanics1176-23221754-21032014-01-01111-2819010.3233/ABB-140090Exact Solution for Peristaltic Flow of Jeffrey Fluid Model in a Three Dimensional Rectangular Duct having Slip at the WallsArshad Riaz0S. Nadeem1R. Ellahi2A. Zeeshan3Department of Mathematics and Statistics, FBAS, IIU, Islamabad, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad, PakistanDepartment of Mathematics and Statistics, FBAS, IIU, Islamabad, PakistanDepartment of Mathematics and Statistics, FBAS, IIU, Islamabad, PakistanIn the present article, we tried to develop the exact solutions for the peristaltic flow of Jeffrey fluid model in a cross section of three dimensional rectangular channel having slip at the peristaltic boundaries. Equation of motion and boundary conditions are made dimensionless by introducing some suitable nondimensional parameters. The flow is considered under the approximations of low Reynolds number and long wavelength. Exact solution of the obtained linear boundary value problem is evaluated. However, the expression for pressure rise is calculated numerically with the help of numerical integration. All pertinent parameters are discussed through graphs of pressure rise, pressure gradient, velocity and stream functions. It is found that presence of slip at the walls reduces the flow velocity but increases the peristaltic pumping characteristics.http://dx.doi.org/10.3233/ABB-140090 |
| spellingShingle | Arshad Riaz S. Nadeem R. Ellahi A. Zeeshan Exact Solution for Peristaltic Flow of Jeffrey Fluid Model in a Three Dimensional Rectangular Duct having Slip at the Walls Applied Bionics and Biomechanics |
| title | Exact Solution for Peristaltic Flow of Jeffrey Fluid Model in a Three Dimensional Rectangular Duct having Slip at the Walls |
| title_full | Exact Solution for Peristaltic Flow of Jeffrey Fluid Model in a Three Dimensional Rectangular Duct having Slip at the Walls |
| title_fullStr | Exact Solution for Peristaltic Flow of Jeffrey Fluid Model in a Three Dimensional Rectangular Duct having Slip at the Walls |
| title_full_unstemmed | Exact Solution for Peristaltic Flow of Jeffrey Fluid Model in a Three Dimensional Rectangular Duct having Slip at the Walls |
| title_short | Exact Solution for Peristaltic Flow of Jeffrey Fluid Model in a Three Dimensional Rectangular Duct having Slip at the Walls |
| title_sort | exact solution for peristaltic flow of jeffrey fluid model in a three dimensional rectangular duct having slip at the walls |
| url | http://dx.doi.org/10.3233/ABB-140090 |
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