Analytical Analysis of Effects of Buoyancy, Internal Heat Generation, Magnetic Field, and Thermal Radiation on a Boundary Layer over a Vertical Plate with a Convective Surface Boundary Condition
In this paper, the effects of magnetic field, thermal radiation, buoyancy force, and internal heat generation on the laminar boundary layer flow about a vertical plate in the presence of a convective surface boundary condition have been investigated. In the analysis, it is assumed that the left surf...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2020/8890510 |
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| author | Solomon Bati Kejela Mitiku Daba Firdi |
| author_facet | Solomon Bati Kejela Mitiku Daba Firdi |
| author_sort | Solomon Bati Kejela |
| collection | DOAJ |
| description | In this paper, the effects of magnetic field, thermal radiation, buoyancy force, and internal heat generation on the laminar boundary layer flow about a vertical plate in the presence of a convective surface boundary condition have been investigated. In the analysis, it is assumed that the left surface of the plate is in contact with a hot fluid, whereas a stream of cold fluid flows steadily over the right surface, and the heat source decays exponentially outwards from the surface of the plate. The governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations with the help of similarity transformation which were solved analytically by applying the optimal homotopy asymptotic method. The variations of fluid velocity and surface temperature for different values of the Grashof number, magnetic parameter, Prandtl number, internal heat generation parameter, Biot number, and radiation absorption parameter are tabulated, graphed, and interpreted in physical terms. A comparison with previously published results on similar special cases of the problem shows an excellent agreement. |
| format | Article |
| id | doaj-art-136dc9ad5e0846b7a5190c669cf7faa5 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-136dc9ad5e0846b7a5190c669cf7faa52025-02-03T05:52:26ZengWileyInternational Journal of Differential Equations1687-96431687-96512020-01-01202010.1155/2020/88905108890510Analytical Analysis of Effects of Buoyancy, Internal Heat Generation, Magnetic Field, and Thermal Radiation on a Boundary Layer over a Vertical Plate with a Convective Surface Boundary ConditionSolomon Bati Kejela0Mitiku Daba Firdi1Department of Mathematics, College of Natural Sciences, Jimma University, Jimma, EthiopiaDepartment of Mathematics, College of Natural Sciences, Jimma University, Jimma, EthiopiaIn this paper, the effects of magnetic field, thermal radiation, buoyancy force, and internal heat generation on the laminar boundary layer flow about a vertical plate in the presence of a convective surface boundary condition have been investigated. In the analysis, it is assumed that the left surface of the plate is in contact with a hot fluid, whereas a stream of cold fluid flows steadily over the right surface, and the heat source decays exponentially outwards from the surface of the plate. The governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations with the help of similarity transformation which were solved analytically by applying the optimal homotopy asymptotic method. The variations of fluid velocity and surface temperature for different values of the Grashof number, magnetic parameter, Prandtl number, internal heat generation parameter, Biot number, and radiation absorption parameter are tabulated, graphed, and interpreted in physical terms. A comparison with previously published results on similar special cases of the problem shows an excellent agreement.http://dx.doi.org/10.1155/2020/8890510 |
| spellingShingle | Solomon Bati Kejela Mitiku Daba Firdi Analytical Analysis of Effects of Buoyancy, Internal Heat Generation, Magnetic Field, and Thermal Radiation on a Boundary Layer over a Vertical Plate with a Convective Surface Boundary Condition International Journal of Differential Equations |
| title | Analytical Analysis of Effects of Buoyancy, Internal Heat Generation, Magnetic Field, and Thermal Radiation on a Boundary Layer over a Vertical Plate with a Convective Surface Boundary Condition |
| title_full | Analytical Analysis of Effects of Buoyancy, Internal Heat Generation, Magnetic Field, and Thermal Radiation on a Boundary Layer over a Vertical Plate with a Convective Surface Boundary Condition |
| title_fullStr | Analytical Analysis of Effects of Buoyancy, Internal Heat Generation, Magnetic Field, and Thermal Radiation on a Boundary Layer over a Vertical Plate with a Convective Surface Boundary Condition |
| title_full_unstemmed | Analytical Analysis of Effects of Buoyancy, Internal Heat Generation, Magnetic Field, and Thermal Radiation on a Boundary Layer over a Vertical Plate with a Convective Surface Boundary Condition |
| title_short | Analytical Analysis of Effects of Buoyancy, Internal Heat Generation, Magnetic Field, and Thermal Radiation on a Boundary Layer over a Vertical Plate with a Convective Surface Boundary Condition |
| title_sort | analytical analysis of effects of buoyancy internal heat generation magnetic field and thermal radiation on a boundary layer over a vertical plate with a convective surface boundary condition |
| url | http://dx.doi.org/10.1155/2020/8890510 |
| work_keys_str_mv | AT solomonbatikejela analyticalanalysisofeffectsofbuoyancyinternalheatgenerationmagneticfieldandthermalradiationonaboundarylayeroveraverticalplatewithaconvectivesurfaceboundarycondition AT mitikudabafirdi analyticalanalysisofeffectsofbuoyancyinternalheatgenerationmagneticfieldandthermalradiationonaboundarylayeroveraverticalplatewithaconvectivesurfaceboundarycondition |