An analytical solution of MHD flow of two visco-elastic fluids over a sheet shrinking with quadratic velocity
The steady laminar boundary layer flow of two classes of incompressible visco-elastic and electrically conducting fluids over a nonlinearly shrinking sheet with appropriate wall transpiration under the influence of a magnetic field is analyzed. It is shown that the problem permits an analytical solu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2016-03-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016815002094 |
| _version_ | 1818623094995025920 |
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| author | T.R. Mahapatra S. Sidui |
| author_facet | T.R. Mahapatra S. Sidui |
| author_sort | T.R. Mahapatra |
| collection | DOAJ |
| description | The steady laminar boundary layer flow of two classes of incompressible visco-elastic and electrically conducting fluids over a nonlinearly shrinking sheet with appropriate wall transpiration under the influence of a magnetic field is analyzed. It is shown that the problem permits an analytical solution of two classes of visco-elastic fluids, namely the second grade fluid and fluid obeying Walters’ liquid B model. The effects of visco-elasticity, suction/blowing parameter and magnetic parameter on both the skin friction parameter and velocity profiles are studied. It is shown that dual solution exists for certain range of physical parameters. |
| first_indexed | 2024-12-16T18:35:36Z |
| format | Article |
| id | doaj.art-be8a5762f61445c781cdb4e9b5a61467 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-16T18:35:36Z |
| publishDate | 2016-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-be8a5762f61445c781cdb4e9b5a614672022-12-21T22:21:10ZengElsevierAlexandria Engineering Journal1110-01682016-03-0155116316810.1016/j.aej.2015.12.016An analytical solution of MHD flow of two visco-elastic fluids over a sheet shrinking with quadratic velocityT.R. Mahapatra0S. Sidui1Department of Mathematics, Visva-Bharati (A Central University), Santiniketan 731 235, West-Bengal, IndiaAjhapur High School, Ajhapur, Burdwan 713 401, West-Bengal, IndiaThe steady laminar boundary layer flow of two classes of incompressible visco-elastic and electrically conducting fluids over a nonlinearly shrinking sheet with appropriate wall transpiration under the influence of a magnetic field is analyzed. It is shown that the problem permits an analytical solution of two classes of visco-elastic fluids, namely the second grade fluid and fluid obeying Walters’ liquid B model. The effects of visco-elasticity, suction/blowing parameter and magnetic parameter on both the skin friction parameter and velocity profiles are studied. It is shown that dual solution exists for certain range of physical parameters.http://www.sciencedirect.com/science/article/pii/S1110016815002094Laminar boundary layerMagnetic fieldQuadratic shrinking surface |
| spellingShingle | T.R. Mahapatra S. Sidui An analytical solution of MHD flow of two visco-elastic fluids over a sheet shrinking with quadratic velocity Alexandria Engineering Journal Laminar boundary layer Magnetic field Quadratic shrinking surface |
| title | An analytical solution of MHD flow of two visco-elastic fluids over a sheet shrinking with quadratic velocity |
| title_full | An analytical solution of MHD flow of two visco-elastic fluids over a sheet shrinking with quadratic velocity |
| title_fullStr | An analytical solution of MHD flow of two visco-elastic fluids over a sheet shrinking with quadratic velocity |
| title_full_unstemmed | An analytical solution of MHD flow of two visco-elastic fluids over a sheet shrinking with quadratic velocity |
| title_short | An analytical solution of MHD flow of two visco-elastic fluids over a sheet shrinking with quadratic velocity |
| title_sort | analytical solution of mhd flow of two visco elastic fluids over a sheet shrinking with quadratic velocity |
| topic | Laminar boundary layer Magnetic field Quadratic shrinking surface |
| url | http://www.sciencedirect.com/science/article/pii/S1110016815002094 |
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