Magnetohydrodynamic Flow of a Bingham Fluid in a Vertical Channel: Mixed Convection
In this paper, we describe our study of the mixed convection of a Boussinesquian Bingham fluid in a vertical channel in the absence and presence of an external uniform magnetic field normal to the walls. The velocity, the induced magnetic field, and the temperature are analytically obtained. A detai...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-04-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/6/4/154 |
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| author | Alessandra Borrelli Giulia Giantesio Maria Cristina Patria |
| author_facet | Alessandra Borrelli Giulia Giantesio Maria Cristina Patria |
| author_sort | Alessandra Borrelli |
| collection | DOAJ |
| description | In this paper, we describe our study of the mixed convection of a Boussinesquian Bingham fluid in a vertical channel in the absence and presence of an external uniform magnetic field normal to the walls. The velocity, the induced magnetic field, and the temperature are analytically obtained. A detailed analysis is conducted to determine the plug regions in relation to the values of the Bingham number, the buoyancy parameter, and the Hartmann number. In particular, the velocity decreases as the Bingham number increases. Detailed considerations are drawn for the occurrence of the reverse flow phenomenon. Moreover, a selected set of diagrams illustrating the influence of various parameters involved in the problem is presented and discussed. |
| first_indexed | 2024-03-10T12:26:46Z |
| format | Article |
| id | doaj.art-2bd70691735e40d982a2102ce9555f77 |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-10T12:26:46Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-2bd70691735e40d982a2102ce9555f772023-11-21T14:55:47ZengMDPI AGFluids2311-55212021-04-016415410.3390/fluids6040154Magnetohydrodynamic Flow of a Bingham Fluid in a Vertical Channel: Mixed ConvectionAlessandra Borrelli0Giulia Giantesio1Maria Cristina Patria2Dipartimento di Matematica e Informatica, Università di Ferrara, via Machiavelli 35, 44121 Ferrara, ItalyDipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, via Musei 41, 25121 Brescia, ItalyDipartimento di Matematica e Informatica, Università di Ferrara, via Machiavelli 35, 44121 Ferrara, ItalyIn this paper, we describe our study of the mixed convection of a Boussinesquian Bingham fluid in a vertical channel in the absence and presence of an external uniform magnetic field normal to the walls. The velocity, the induced magnetic field, and the temperature are analytically obtained. A detailed analysis is conducted to determine the plug regions in relation to the values of the Bingham number, the buoyancy parameter, and the Hartmann number. In particular, the velocity decreases as the Bingham number increases. Detailed considerations are drawn for the occurrence of the reverse flow phenomenon. Moreover, a selected set of diagrams illustrating the influence of various parameters involved in the problem is presented and discussed.https://www.mdpi.com/2311-5521/6/4/154Bingham fluidchannel flowmixed convection |
| spellingShingle | Alessandra Borrelli Giulia Giantesio Maria Cristina Patria Magnetohydrodynamic Flow of a Bingham Fluid in a Vertical Channel: Mixed Convection Fluids Bingham fluid channel flow mixed convection |
| title | Magnetohydrodynamic Flow of a Bingham Fluid in a Vertical Channel: Mixed Convection |
| title_full | Magnetohydrodynamic Flow of a Bingham Fluid in a Vertical Channel: Mixed Convection |
| title_fullStr | Magnetohydrodynamic Flow of a Bingham Fluid in a Vertical Channel: Mixed Convection |
| title_full_unstemmed | Magnetohydrodynamic Flow of a Bingham Fluid in a Vertical Channel: Mixed Convection |
| title_short | Magnetohydrodynamic Flow of a Bingham Fluid in a Vertical Channel: Mixed Convection |
| title_sort | magnetohydrodynamic flow of a bingham fluid in a vertical channel mixed convection |
| topic | Bingham fluid channel flow mixed convection |
| url | https://www.mdpi.com/2311-5521/6/4/154 |
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