Interplay of non-conducting and conducting walls on magnetohydrodynamic (MHD) natural convection flow in vertical micro-channel in the presence of induced magnetic field
In this research paper, exact solution for fully developed magnetohydrodynamic (MHD) natural convection flow of viscous, incompressible, electrically conducting fluid in vertical micro-channel formed by electrically non-conducting and conducting infinite vertical parallel walls in the presence of ve...
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| Format: | Article |
| Language: | English |
| Published: |
KeAi Communications Co., Ltd.
2018-12-01
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| Series: | Propulsion and Power Research |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2212540X18300440 |
| _version_ | 1797721095499939840 |
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| author | BasantK. Jha Babatunde Aina |
| author_facet | BasantK. Jha Babatunde Aina |
| author_sort | BasantK. Jha |
| collection | DOAJ |
| description | In this research paper, exact solution for fully developed magnetohydrodynamic (MHD) natural convection flow of viscous, incompressible, electrically conducting fluid in vertical micro-channel formed by electrically non-conducting and conducting infinite vertical parallel walls in the presence of velocity slip and temperature jump at the micro-channel walls is investigated. The influence of induced magnetic field (I.M.F) arising due to the motion of an electrically conducting fluid in the presence of transverse magnetic field is taken into consideration. Due to the presence of induced magnetic field, the momentum and induction equations are coupled. The exact solutions in dimensionless form have been obtained under relevant boundary conditions. The expressions for velocity field, the induced magnetic field, temperature field, induced current density and skin friction have been obtained. The effects of the various physical parameters appearing into the model such as rarefaction, fluid wall interaction, Hartmann number and the magnetic Prandtl number are demonstrated through graphs and table. The results indicate that, increase in Hartmann number and magnetic Prandtl number causes a pronounced reduction in volume flow rate. Keywords: Transverse magnetic field, Induced magnetic field, Velocity slip, Temperature jump, Electrically conducting, Electrically non-conducting walls |
| first_indexed | 2024-03-12T09:29:42Z |
| format | Article |
| id | doaj.art-e5166441d8764f2ba48b0500a03c98a6 |
| institution | Directory Open Access Journal |
| issn | 2212-540X |
| language | English |
| last_indexed | 2024-03-12T09:29:42Z |
| publishDate | 2018-12-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Propulsion and Power Research |
| spelling | doaj.art-e5166441d8764f2ba48b0500a03c98a62023-09-02T13:59:13ZengKeAi Communications Co., Ltd.Propulsion and Power Research2212-540X2018-12-0174296307Interplay of non-conducting and conducting walls on magnetohydrodynamic (MHD) natural convection flow in vertical micro-channel in the presence of induced magnetic fieldBasantK. Jha0Babatunde Aina1Department of Mathematics, Ahmadu Bello University, Zaria, NigeriaCorresponding author. Tel.: (+234) 8063178775.; Department of Mathematics, Ahmadu Bello University, Zaria, NigeriaIn this research paper, exact solution for fully developed magnetohydrodynamic (MHD) natural convection flow of viscous, incompressible, electrically conducting fluid in vertical micro-channel formed by electrically non-conducting and conducting infinite vertical parallel walls in the presence of velocity slip and temperature jump at the micro-channel walls is investigated. The influence of induced magnetic field (I.M.F) arising due to the motion of an electrically conducting fluid in the presence of transverse magnetic field is taken into consideration. Due to the presence of induced magnetic field, the momentum and induction equations are coupled. The exact solutions in dimensionless form have been obtained under relevant boundary conditions. The expressions for velocity field, the induced magnetic field, temperature field, induced current density and skin friction have been obtained. The effects of the various physical parameters appearing into the model such as rarefaction, fluid wall interaction, Hartmann number and the magnetic Prandtl number are demonstrated through graphs and table. The results indicate that, increase in Hartmann number and magnetic Prandtl number causes a pronounced reduction in volume flow rate. Keywords: Transverse magnetic field, Induced magnetic field, Velocity slip, Temperature jump, Electrically conducting, Electrically non-conducting wallshttp://www.sciencedirect.com/science/article/pii/S2212540X18300440 |
| spellingShingle | BasantK. Jha Babatunde Aina Interplay of non-conducting and conducting walls on magnetohydrodynamic (MHD) natural convection flow in vertical micro-channel in the presence of induced magnetic field Propulsion and Power Research |
| title | Interplay of non-conducting and conducting walls on magnetohydrodynamic (MHD) natural convection flow in vertical micro-channel in the presence of induced magnetic field |
| title_full | Interplay of non-conducting and conducting walls on magnetohydrodynamic (MHD) natural convection flow in vertical micro-channel in the presence of induced magnetic field |
| title_fullStr | Interplay of non-conducting and conducting walls on magnetohydrodynamic (MHD) natural convection flow in vertical micro-channel in the presence of induced magnetic field |
| title_full_unstemmed | Interplay of non-conducting and conducting walls on magnetohydrodynamic (MHD) natural convection flow in vertical micro-channel in the presence of induced magnetic field |
| title_short | Interplay of non-conducting and conducting walls on magnetohydrodynamic (MHD) natural convection flow in vertical micro-channel in the presence of induced magnetic field |
| title_sort | interplay of non conducting and conducting walls on magnetohydrodynamic mhd natural convection flow in vertical micro channel in the presence of induced magnetic field |
| url | http://www.sciencedirect.com/science/article/pii/S2212540X18300440 |
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