Flows with Slip of Oldroyd-B Fluids over a Moving Plate
A general investigation has been made and analytic solutions are provided corresponding to the flows of an Oldroyd-B fluid, under the consideration of slip condition at the boundary. The fluid motion is generated by the flat plate which has a translational motion in its plane with a time-dependent v...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/8619634 |
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| _version_ | 1832567834742358016 |
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| author | Abdul Shakeel Sohail Ahmad Hamid Khan Nehad Ali Shah Sami Ul Haq |
| author_facet | Abdul Shakeel Sohail Ahmad Hamid Khan Nehad Ali Shah Sami Ul Haq |
| author_sort | Abdul Shakeel |
| collection | DOAJ |
| description | A general investigation has been made and analytic solutions are provided corresponding to the flows of an Oldroyd-B fluid, under the consideration of slip condition at the boundary. The fluid motion is generated by the flat plate which has a translational motion in its plane with a time-dependent velocity. The adequate integral transform approach is employed to find analytic solutions for the velocity field. Solutions for the flows corresponding to Maxwell fluid, second-grade fluid, and Newtonian fluid are also determined in both cases, namely, flows with slip on the boundary and flows with no slip on the boundary, respectively. Some of our results were compared with other results from the literature. The effects of several emerging dimensionless and pertinent parameters on the fluid velocity have been studied theoretically as well as graphically in the paper. |
| format | Article |
| id | doaj-art-e3939c6f978541f4a978d0af32be082b |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e3939c6f978541f4a978d0af32be082b2025-02-03T01:00:35ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/86196348619634Flows with Slip of Oldroyd-B Fluids over a Moving PlateAbdul Shakeel0Sohail Ahmad1Hamid Khan2Nehad Ali Shah3Sami Ul Haq4Department of Mathematics, FAST-National University of Computer and Emerging Sciences, Peshawar, Khyber Pakhtunkhwa 25000, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Attock, Kamra Road, Punjab 43600, PakistanDepartment of Mathematics, FAST-National University of Computer and Emerging Sciences, Peshawar, Khyber Pakhtunkhwa 25000, PakistanAbdus Salam School of Mathematical Sciences, Government College University, Lahore, Punjab 54000, PakistanDepartment of Mathematics, Islamia College, Peshawar, Khyber Pakhtunkhwa 25000, PakistanA general investigation has been made and analytic solutions are provided corresponding to the flows of an Oldroyd-B fluid, under the consideration of slip condition at the boundary. The fluid motion is generated by the flat plate which has a translational motion in its plane with a time-dependent velocity. The adequate integral transform approach is employed to find analytic solutions for the velocity field. Solutions for the flows corresponding to Maxwell fluid, second-grade fluid, and Newtonian fluid are also determined in both cases, namely, flows with slip on the boundary and flows with no slip on the boundary, respectively. Some of our results were compared with other results from the literature. The effects of several emerging dimensionless and pertinent parameters on the fluid velocity have been studied theoretically as well as graphically in the paper.http://dx.doi.org/10.1155/2016/8619634 |
| spellingShingle | Abdul Shakeel Sohail Ahmad Hamid Khan Nehad Ali Shah Sami Ul Haq Flows with Slip of Oldroyd-B Fluids over a Moving Plate Advances in Mathematical Physics |
| title | Flows with Slip of Oldroyd-B Fluids over a Moving Plate |
| title_full | Flows with Slip of Oldroyd-B Fluids over a Moving Plate |
| title_fullStr | Flows with Slip of Oldroyd-B Fluids over a Moving Plate |
| title_full_unstemmed | Flows with Slip of Oldroyd-B Fluids over a Moving Plate |
| title_short | Flows with Slip of Oldroyd-B Fluids over a Moving Plate |
| title_sort | flows with slip of oldroyd b fluids over a moving plate |
| url | http://dx.doi.org/10.1155/2016/8619634 |
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