Effects of induced magnetic field on conducting viscous fluid flowing in a constricted channel
We report the effects of an externally applied magnetic field on an electrically conducting fluid flow in a locally constricted channel. With the use of finite-difference discretization and the ADI (Alternating directions implicit) scheme, the non-linear coupled magnetohydrodynamic (MHD) equations i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-05-01
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| Series: | Forces in Mechanics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666359723000306 |
| _version_ | 1797806987437670400 |
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| author | Mani Shankar Mandal G.C. Layek |
| author_facet | Mani Shankar Mandal G.C. Layek |
| author_sort | Mani Shankar Mandal |
| collection | DOAJ |
| description | We report the effects of an externally applied magnetic field on an electrically conducting fluid flow in a locally constricted channel. With the use of finite-difference discretization and the ADI (Alternating directions implicit) scheme, the non-linear coupled magnetohydrodynamic (MHD) equations in two dimensions were numerically solved. When the magnetic Reynolds number RM >> 1, an induced magnetic field forms in the motion and significantly affects flow. The electromagnetic force (Lorentz force) is developed and acts as a damping force. It results the suppression of flow separation regions developed due to the channel constrictions. It delays the onset of flow separation and the flow become stable. By employing suitable value of magnetic field one can completely suppress the flow separation. The induced magnetic field and current density vectors are dense at the constriction site due to high velocity shear in the downstream of the constriction, resulting in the creation of high shear magnetic and electric fields. |
| first_indexed | 2024-03-13T06:15:44Z |
| format | Article |
| id | doaj.art-9b5fae1ac0d14beaa8a20f3d33fc2a42 |
| institution | Directory Open Access Journal |
| issn | 2666-3597 |
| language | English |
| last_indexed | 2024-03-13T06:15:44Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Forces in Mechanics |
| spelling | doaj.art-9b5fae1ac0d14beaa8a20f3d33fc2a422023-06-11T04:15:08ZengElsevierForces in Mechanics2666-35972023-05-0111100195Effects of induced magnetic field on conducting viscous fluid flowing in a constricted channelMani Shankar Mandal0G.C. Layek1Department of Mathematics, Govt. General Degree College, Kalna-I, Purba Bardhaman, West Bengal 713405, India; Corresponding author.Department of Mathematics, The University of Burdwan, Burdwan, West Bengal 713104, IndiaWe report the effects of an externally applied magnetic field on an electrically conducting fluid flow in a locally constricted channel. With the use of finite-difference discretization and the ADI (Alternating directions implicit) scheme, the non-linear coupled magnetohydrodynamic (MHD) equations in two dimensions were numerically solved. When the magnetic Reynolds number RM >> 1, an induced magnetic field forms in the motion and significantly affects flow. The electromagnetic force (Lorentz force) is developed and acts as a damping force. It results the suppression of flow separation regions developed due to the channel constrictions. It delays the onset of flow separation and the flow become stable. By employing suitable value of magnetic field one can completely suppress the flow separation. The induced magnetic field and current density vectors are dense at the constriction site due to high velocity shear in the downstream of the constriction, resulting in the creation of high shear magnetic and electric fields.http://www.sciencedirect.com/science/article/pii/S2666359723000306Induced magnetic fieldMagnetic reynolds numberFinite-differenceFlow separation |
| spellingShingle | Mani Shankar Mandal G.C. Layek Effects of induced magnetic field on conducting viscous fluid flowing in a constricted channel Forces in Mechanics Induced magnetic field Magnetic reynolds number Finite-difference Flow separation |
| title | Effects of induced magnetic field on conducting viscous fluid flowing in a constricted channel |
| title_full | Effects of induced magnetic field on conducting viscous fluid flowing in a constricted channel |
| title_fullStr | Effects of induced magnetic field on conducting viscous fluid flowing in a constricted channel |
| title_full_unstemmed | Effects of induced magnetic field on conducting viscous fluid flowing in a constricted channel |
| title_short | Effects of induced magnetic field on conducting viscous fluid flowing in a constricted channel |
| title_sort | effects of induced magnetic field on conducting viscous fluid flowing in a constricted channel |
| topic | Induced magnetic field Magnetic reynolds number Finite-difference Flow separation |
| url | http://www.sciencedirect.com/science/article/pii/S2666359723000306 |
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