Fully developed MHD natural convection flow in a vertical annular microchannel: An exact solution
An exact solution of steady fully developed natural convection flow of viscous, incompressible, electrically conducting fluid in a vertical annular micro-channel with the effect of transverse magnetic field in the presence of velocity slip and temperature jump at the annular micro-channel surfaces i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2015-07-01
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| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364714000962 |
| _version_ | 1819236819303137280 |
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| author | Basant K. Jha Babatunde Aina Sani Isa |
| author_facet | Basant K. Jha Babatunde Aina Sani Isa |
| author_sort | Basant K. Jha |
| collection | DOAJ |
| description | An exact solution of steady fully developed natural convection flow of viscous, incompressible, electrically conducting fluid in a vertical annular micro-channel with the effect of transverse magnetic field in the presence of velocity slip and temperature jump at the annular micro-channel surfaces is obtained. Exact solution is expressed in terms of modified Bessel function of the first and second kind. The solution obtained is graphically represented and the effects of radius ratio (η), Hartmann number (M), rarefaction parameter (βvKn), and fluid–wall interaction parameter (F) on the flow are investigated. During the course of numerical computations, it is found that an increase in Hartmann number leads to a decrease in the fluid velocity, volume flow rate and skin friction. Furthermore, it is found that an increase in curvature radius ratio leads to an increase in the volume flow rate. |
| first_indexed | 2024-12-23T13:10:30Z |
| format | Article |
| id | doaj.art-396179a4bd5a4185b6abac0dd7166d69 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-23T13:10:30Z |
| publishDate | 2015-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-396179a4bd5a4185b6abac0dd7166d692022-12-21T17:45:44ZengElsevierJournal of King Saud University: Science1018-36472015-07-0127325325910.1016/j.jksus.2014.12.002Fully developed MHD natural convection flow in a vertical annular microchannel: An exact solutionBasant K. JhaBabatunde AinaSani IsaAn exact solution of steady fully developed natural convection flow of viscous, incompressible, electrically conducting fluid in a vertical annular micro-channel with the effect of transverse magnetic field in the presence of velocity slip and temperature jump at the annular micro-channel surfaces is obtained. Exact solution is expressed in terms of modified Bessel function of the first and second kind. The solution obtained is graphically represented and the effects of radius ratio (η), Hartmann number (M), rarefaction parameter (βvKn), and fluid–wall interaction parameter (F) on the flow are investigated. During the course of numerical computations, it is found that an increase in Hartmann number leads to a decrease in the fluid velocity, volume flow rate and skin friction. Furthermore, it is found that an increase in curvature radius ratio leads to an increase in the volume flow rate.http://www.sciencedirect.com/science/article/pii/S1018364714000962Annular micro-channelNatural convectionHartmann numberVelocity slip and temperature jump |
| spellingShingle | Basant K. Jha Babatunde Aina Sani Isa Fully developed MHD natural convection flow in a vertical annular microchannel: An exact solution Journal of King Saud University: Science Annular micro-channel Natural convection Hartmann number Velocity slip and temperature jump |
| title | Fully developed MHD natural convection flow in a vertical annular microchannel: An exact solution |
| title_full | Fully developed MHD natural convection flow in a vertical annular microchannel: An exact solution |
| title_fullStr | Fully developed MHD natural convection flow in a vertical annular microchannel: An exact solution |
| title_full_unstemmed | Fully developed MHD natural convection flow in a vertical annular microchannel: An exact solution |
| title_short | Fully developed MHD natural convection flow in a vertical annular microchannel: An exact solution |
| title_sort | fully developed mhd natural convection flow in a vertical annular microchannel an exact solution |
| topic | Annular micro-channel Natural convection Hartmann number Velocity slip and temperature jump |
| url | http://www.sciencedirect.com/science/article/pii/S1018364714000962 |
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