Analytical Solution for MHD Flow of a Magnetic Fluid within a Thick Porous Annulus
The steady-state problem of a magnetic fluid filling a porous annulus between two cylindrical walls under the influence of a nonuniform radially outward magnetic field has been investigated. The cylindrical walls are either electrically perfectly insulated or electrically perfectly conducting. The...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/931732 |
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| author | Shihhao Yeh Tsai-Jung Chen Jik Chang Leong |
| author_facet | Shihhao Yeh Tsai-Jung Chen Jik Chang Leong |
| author_sort | Shihhao Yeh |
| collection | DOAJ |
| description | The steady-state problem of a magnetic fluid filling a porous annulus between two cylindrical walls under the influence of a nonuniform radially outward magnetic field has been investigated. The cylindrical walls are either electrically perfectly insulated or electrically perfectly conducting. The permeability of the porous annulus increases with its radial location. The governing partial differential equations were derived carefully and closed form solutions for the profiles of the velocity component and the induced magnetic component were obtained. The effect of the strength of the externally applied magnetic field, the permeability of the porous annulus, and the conductivity of the cylindrical walls were examined through the angular velocity components, as well as the induced magnetic field. |
| format | Article |
| id | doaj-art-32929d2939d94dc79b9e3ef097b89f4d |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-32929d2939d94dc79b9e3ef097b89f4d2025-08-20T03:20:27ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/931732931732Analytical Solution for MHD Flow of a Magnetic Fluid within a Thick Porous AnnulusShihhao Yeh0Tsai-Jung Chen1Jik Chang Leong2Department of Engineering Science, National Cheng Kung University, Tainan City 70101, TaiwanDepartment of Vehicle Engineering, National Pingtung University of Science and Technology, Neipu, Pingtung 91201, TaiwanDepartment of Vehicle Engineering, National Pingtung University of Science and Technology, Neipu, Pingtung 91201, TaiwanThe steady-state problem of a magnetic fluid filling a porous annulus between two cylindrical walls under the influence of a nonuniform radially outward magnetic field has been investigated. The cylindrical walls are either electrically perfectly insulated or electrically perfectly conducting. The permeability of the porous annulus increases with its radial location. The governing partial differential equations were derived carefully and closed form solutions for the profiles of the velocity component and the induced magnetic component were obtained. The effect of the strength of the externally applied magnetic field, the permeability of the porous annulus, and the conductivity of the cylindrical walls were examined through the angular velocity components, as well as the induced magnetic field.http://dx.doi.org/10.1155/2014/931732 |
| spellingShingle | Shihhao Yeh Tsai-Jung Chen Jik Chang Leong Analytical Solution for MHD Flow of a Magnetic Fluid within a Thick Porous Annulus Journal of Applied Mathematics |
| title | Analytical Solution for MHD Flow of a Magnetic Fluid within a Thick Porous Annulus |
| title_full | Analytical Solution for MHD Flow of a Magnetic Fluid within a Thick Porous Annulus |
| title_fullStr | Analytical Solution for MHD Flow of a Magnetic Fluid within a Thick Porous Annulus |
| title_full_unstemmed | Analytical Solution for MHD Flow of a Magnetic Fluid within a Thick Porous Annulus |
| title_short | Analytical Solution for MHD Flow of a Magnetic Fluid within a Thick Porous Annulus |
| title_sort | analytical solution for mhd flow of a magnetic fluid within a thick porous annulus |
| url | http://dx.doi.org/10.1155/2014/931732 |
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