RBF-DQ Solution of Natural Convection under the Effect of a Magnetic Field in a Tilted Cavity
In this study, radial basis function based differential quadrature (RBF-DQ) method is applied to the natural convection in an inclined unit square cavity under the effect of an applied magnetic field in different angles. The stream function-vorticity form of the dimensionless governing equations are...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Isfahan University of Technology
2017-01-01
|
| Series: | Journal of Applied Fluid Mechanics |
| Subjects: | |
| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=42102&issue_ID=239 |
| _version_ | 1811329991903805440 |
|---|---|
| author | B. Pekmen Geridonmez |
| author_facet | B. Pekmen Geridonmez |
| author_sort | B. Pekmen Geridonmez |
| collection | DOAJ |
| description | In this study, radial basis function based differential quadrature (RBF-DQ) method is applied to the natural convection in an inclined unit square cavity under the effect of an applied magnetic field in different angles. The stream function-vorticity form of the dimensionless governing equations are concentrated on. The change in different Hartmann numbers, Rayleigh numbers and inclination angles of the cavity is investigated both in terms of streamlines, isotherms, vorticity contours and the average Nusselt number through the heated wall. The increase in Hartmann number causes heat transfer to be conductive due to the Lorentz force, and therefore the inclination angle of the cavity loses its effect. A remarkable effect of the inclination angle on heat transfer for is presented. The proposed method is a global method and provides to use small number of grid points as a result of DQ method. |
| first_indexed | 2024-04-13T15:53:32Z |
| format | Article |
| id | doaj.art-e261990a413e41888f0ec568222f7210 |
| institution | Directory Open Access Journal |
| issn | 1735-3572 |
| language | English |
| last_indexed | 2024-04-13T15:53:32Z |
| publishDate | 2017-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-e261990a413e41888f0ec568222f72102022-12-22T02:40:46ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722017-01-01102499507.RBF-DQ Solution of Natural Convection under the Effect of a Magnetic Field in a Tilted CavityB. Pekmen Geridonmez0TED UniversityIn this study, radial basis function based differential quadrature (RBF-DQ) method is applied to the natural convection in an inclined unit square cavity under the effect of an applied magnetic field in different angles. The stream function-vorticity form of the dimensionless governing equations are concentrated on. The change in different Hartmann numbers, Rayleigh numbers and inclination angles of the cavity is investigated both in terms of streamlines, isotherms, vorticity contours and the average Nusselt number through the heated wall. The increase in Hartmann number causes heat transfer to be conductive due to the Lorentz force, and therefore the inclination angle of the cavity loses its effect. A remarkable effect of the inclination angle on heat transfer for is presented. The proposed method is a global method and provides to use small number of grid points as a result of DQ method.http://jafmonline.net/JournalArchive/download?file_ID=42102&issue_ID=239Radial basis functions; Differential quadrature method; Natural convection; Tilted cavity. |
| spellingShingle | B. Pekmen Geridonmez RBF-DQ Solution of Natural Convection under the Effect of a Magnetic Field in a Tilted Cavity Journal of Applied Fluid Mechanics Radial basis functions; Differential quadrature method; Natural convection; Tilted cavity. |
| title | RBF-DQ Solution of Natural Convection under the Effect of a Magnetic Field in a Tilted Cavity |
| title_full | RBF-DQ Solution of Natural Convection under the Effect of a Magnetic Field in a Tilted Cavity |
| title_fullStr | RBF-DQ Solution of Natural Convection under the Effect of a Magnetic Field in a Tilted Cavity |
| title_full_unstemmed | RBF-DQ Solution of Natural Convection under the Effect of a Magnetic Field in a Tilted Cavity |
| title_short | RBF-DQ Solution of Natural Convection under the Effect of a Magnetic Field in a Tilted Cavity |
| title_sort | rbf dq solution of natural convection under the effect of a magnetic field in a tilted cavity |
| topic | Radial basis functions; Differential quadrature method; Natural convection; Tilted cavity. |
| url | http://jafmonline.net/JournalArchive/download?file_ID=42102&issue_ID=239 |
| work_keys_str_mv | AT bpekmengeridonmez rbfdqsolutionofnaturalconvectionundertheeffectofamagneticfieldinatiltedcavity |