Combined effect of suction/injection on MHD free-convection flow in a vertical channel with thermal radiation
Transient hydromagnetic free-convection and thermal radiation flow of viscous, incompressible electrically conducting fluid in the presence of magnetic field in a vertical channel formed by two infinite porous plates is analyzed. The Rosseland diffusion approximation describes the radioactive heat f...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018-12-01
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| Series: | Ain Shams Engineering Journal |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447916300879 |
| _version_ | 1819082688811761664 |
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| author | Basant K. Jha B.Y. Isah I.J. Uwanta |
| author_facet | Basant K. Jha B.Y. Isah I.J. Uwanta |
| author_sort | Basant K. Jha |
| collection | DOAJ |
| description | Transient hydromagnetic free-convection and thermal radiation flow of viscous, incompressible electrically conducting fluid in the presence of magnetic field in a vertical channel formed by two infinite porous plates is analyzed. The Rosseland diffusion approximation describes the radioactive heat flux in the energy equation. The non-linear time dependent energy and momentum equations under relevant initial and boundary conditions are solved numerically using implicit finite difference. To verify the accuracy of the numerical scheme, steady state version of the problem is solved by perturbation method. A series of numerical experiments show that time required to reach steady state velocity and temperature is directly proportional to the Prandtl number of the working fluid. In the course of numerical computation, an excellent agreement was found between transient and steady state solution at large value of time. The effect of various dimensionless parameters controlling the physical situation is extensively discussed with the aid of graphs. Keywords: Thermal radiation, MHD, Transient, Rosseland approximation |
| first_indexed | 2024-12-21T20:20:39Z |
| format | Article |
| id | doaj.art-6612976f6d934319a4a3083c15285353 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-12-21T20:20:39Z |
| publishDate | 2018-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-6612976f6d934319a4a3083c152853532022-12-21T18:51:29ZengElsevierAin Shams Engineering Journal2090-44792018-12-019410691088Combined effect of suction/injection on MHD free-convection flow in a vertical channel with thermal radiationBasant K. Jha0B.Y. Isah1I.J. Uwanta2Department of Mathematics, Ahmadu Bello University, Zaria, NigeriaDepartment of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria; Corresponding author.Department of Mathematics, Usmanu Danfodiyo University, Sokoto, NigeriaTransient hydromagnetic free-convection and thermal radiation flow of viscous, incompressible electrically conducting fluid in the presence of magnetic field in a vertical channel formed by two infinite porous plates is analyzed. The Rosseland diffusion approximation describes the radioactive heat flux in the energy equation. The non-linear time dependent energy and momentum equations under relevant initial and boundary conditions are solved numerically using implicit finite difference. To verify the accuracy of the numerical scheme, steady state version of the problem is solved by perturbation method. A series of numerical experiments show that time required to reach steady state velocity and temperature is directly proportional to the Prandtl number of the working fluid. In the course of numerical computation, an excellent agreement was found between transient and steady state solution at large value of time. The effect of various dimensionless parameters controlling the physical situation is extensively discussed with the aid of graphs. Keywords: Thermal radiation, MHD, Transient, Rosseland approximationhttp://www.sciencedirect.com/science/article/pii/S2090447916300879 |
| spellingShingle | Basant K. Jha B.Y. Isah I.J. Uwanta Combined effect of suction/injection on MHD free-convection flow in a vertical channel with thermal radiation Ain Shams Engineering Journal |
| title | Combined effect of suction/injection on MHD free-convection flow in a vertical channel with thermal radiation |
| title_full | Combined effect of suction/injection on MHD free-convection flow in a vertical channel with thermal radiation |
| title_fullStr | Combined effect of suction/injection on MHD free-convection flow in a vertical channel with thermal radiation |
| title_full_unstemmed | Combined effect of suction/injection on MHD free-convection flow in a vertical channel with thermal radiation |
| title_short | Combined effect of suction/injection on MHD free-convection flow in a vertical channel with thermal radiation |
| title_sort | combined effect of suction injection on mhd free convection flow in a vertical channel with thermal radiation |
| url | http://www.sciencedirect.com/science/article/pii/S2090447916300879 |
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