A combined method for simulating MHD convection in square cavities through localized heating by method of line and penalty-artificial compressibility
A new combined technique is developed for studying free convection of magnetohydrodynamic unsteady incompressible flow in a square cavity that partially heated from lower wall and regular cooling from lateral walls. Convection has been studied for several lengths of heat source, Hartman and the Rayl...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2021-01-01
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| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/16583655.2021.1951503 |
| _version_ | 1818323652803821568 |
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| author | Mohamed M. Mousa Mohamed R. Ali Wen-Xiu Ma |
| author_facet | Mohamed M. Mousa Mohamed R. Ali Wen-Xiu Ma |
| author_sort | Mohamed M. Mousa |
| collection | DOAJ |
| description | A new combined technique is developed for studying free convection of magnetohydrodynamic unsteady incompressible flow in a square cavity that partially heated from lower wall and regular cooling from lateral walls. Convection has been studied for several lengths of heat source, Hartman and the Rayleigh numbers. The local and average Nusselt numbers are calculated and presented graphically along the heat source portion. The proposed technique is a combination of the method of lines (MOL) and a developed penalty-artificial compressibility technique (PACT). Unsteady penalty compressibility governing equations are used instead of solving steady-state balances. The penalty and artificial compressibility factors are estimated using a deduced stability restriction. The validation of the MOL-PACT is verified by comparing the current data with other numerical and experimental ones existing in the literature. The proposed technique provides a new choice through the investigation of MHD mass and heat transfer. |
| first_indexed | 2024-12-13T11:16:06Z |
| format | Article |
| id | doaj.art-2e748b91724f48cda7b9bac4f21fd9de |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2024-12-13T11:16:06Z |
| publishDate | 2021-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj.art-2e748b91724f48cda7b9bac4f21fd9de2022-12-21T23:48:37ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552021-01-0115120821710.1080/16583655.2021.19515031951503A combined method for simulating MHD convection in square cavities through localized heating by method of line and penalty-artificial compressibilityMohamed M. Mousa0Mohamed R. Ali1Wen-Xiu Ma2Benha UniversityBenha UniversityZhejiang Normal UniversityA new combined technique is developed for studying free convection of magnetohydrodynamic unsteady incompressible flow in a square cavity that partially heated from lower wall and regular cooling from lateral walls. Convection has been studied for several lengths of heat source, Hartman and the Rayleigh numbers. The local and average Nusselt numbers are calculated and presented graphically along the heat source portion. The proposed technique is a combination of the method of lines (MOL) and a developed penalty-artificial compressibility technique (PACT). Unsteady penalty compressibility governing equations are used instead of solving steady-state balances. The penalty and artificial compressibility factors are estimated using a deduced stability restriction. The validation of the MOL-PACT is verified by comparing the current data with other numerical and experimental ones existing in the literature. The proposed technique provides a new choice through the investigation of MHD mass and heat transfer.http://dx.doi.org/10.1080/16583655.2021.1951503mhd free convectionmethod of linespenalty methodartificial compressibility techniqueheat transfer |
| spellingShingle | Mohamed M. Mousa Mohamed R. Ali Wen-Xiu Ma A combined method for simulating MHD convection in square cavities through localized heating by method of line and penalty-artificial compressibility Journal of Taibah University for Science mhd free convection method of lines penalty method artificial compressibility technique heat transfer |
| title | A combined method for simulating MHD convection in square cavities through localized heating by method of line and penalty-artificial compressibility |
| title_full | A combined method for simulating MHD convection in square cavities through localized heating by method of line and penalty-artificial compressibility |
| title_fullStr | A combined method for simulating MHD convection in square cavities through localized heating by method of line and penalty-artificial compressibility |
| title_full_unstemmed | A combined method for simulating MHD convection in square cavities through localized heating by method of line and penalty-artificial compressibility |
| title_short | A combined method for simulating MHD convection in square cavities through localized heating by method of line and penalty-artificial compressibility |
| title_sort | combined method for simulating mhd convection in square cavities through localized heating by method of line and penalty artificial compressibility |
| topic | mhd free convection method of lines penalty method artificial compressibility technique heat transfer |
| url | http://dx.doi.org/10.1080/16583655.2021.1951503 |
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