Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous Fluid
The problem of a two-dimensional, unsteady flow and a heat transfer of a viscous fluid past a surface in the presence of variable suction/injection is analyzed. The unsteadiness is due to the time dependent free stream flow. The governing equations are derived with the usual boundary layer approxima...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/675287 |
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| author | M. B. Akgül G. Sarı M. Pakdemirli |
| author_facet | M. B. Akgül G. Sarı M. Pakdemirli |
| author_sort | M. B. Akgül |
| collection | DOAJ |
| description | The problem of a two-dimensional, unsteady flow and a heat transfer of a viscous fluid past a surface in the presence of variable suction/injection is analyzed. The unsteadiness is due to the time dependent free stream flow. The governing equations are derived with the usual boundary layer approximation. Using Lie group theory, a group classification of the equations with respect to the variable free stream flow and suction/injection velocity is performed. Restrictions imposed by the boundary conditions on the symmetries are discussed. Adopting the obtained symmetry groups, governing partial differential equations are converted into ordinary differential equations and then solved numerically. Effects of the dimensionless problem parameters on the velocity and temperature profiles are outlined in the figures. |
| format | Article |
| id | doaj-art-add55fcd44094ee3ba43f402e4f56c98 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-add55fcd44094ee3ba43f402e4f56c982025-02-03T01:30:35ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/675287675287Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous FluidM. B. Akgül0G. Sarı1M. Pakdemirli2Department of Mechanical Engineering, Celal Bayar University, Muradiye, 45140 Manisa, TurkeyApplied Mathematics and Computation Center, Celal Bayar University, Muradiye, 45140 Manisa, TurkeyApplied Mathematics and Computation Center, Celal Bayar University, Muradiye, 45140 Manisa, TurkeyThe problem of a two-dimensional, unsteady flow and a heat transfer of a viscous fluid past a surface in the presence of variable suction/injection is analyzed. The unsteadiness is due to the time dependent free stream flow. The governing equations are derived with the usual boundary layer approximation. Using Lie group theory, a group classification of the equations with respect to the variable free stream flow and suction/injection velocity is performed. Restrictions imposed by the boundary conditions on the symmetries are discussed. Adopting the obtained symmetry groups, governing partial differential equations are converted into ordinary differential equations and then solved numerically. Effects of the dimensionless problem parameters on the velocity and temperature profiles are outlined in the figures.http://dx.doi.org/10.1155/2012/675287 |
| spellingShingle | M. B. Akgül G. Sarı M. Pakdemirli Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous Fluid Journal of Applied Mathematics |
| title | Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous Fluid |
| title_full | Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous Fluid |
| title_fullStr | Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous Fluid |
| title_full_unstemmed | Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous Fluid |
| title_short | Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous Fluid |
| title_sort | lie group analysis of unsteady flow and heat transfer over a porous surface for a viscous fluid |
| url | http://dx.doi.org/10.1155/2012/675287 |
| work_keys_str_mv | AT mbakgul liegroupanalysisofunsteadyflowandheattransferoveraporoussurfaceforaviscousfluid AT gsarı liegroupanalysisofunsteadyflowandheattransferoveraporoussurfaceforaviscousfluid AT mpakdemirli liegroupanalysisofunsteadyflowandheattransferoveraporoussurfaceforaviscousfluid |