Modelling of Marangoni convection using proper orthogonal decomposition
Proper orthogonal decomposition (POD) is applied to Marangoni convection in a horizontal fluid layer heated from below and cooled from above with non-deformable free surface. We investigate two-dimensional Marangoni convection for the case of free-slip bottom in the limit of small Prandtl number. Th...
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| Format: | Article |
| Language: | English English |
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Kluwer Academic Publishers
2007
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| Online Access: | http://psasir.upm.edu.my/id/eprint/7672/ http://psasir.upm.edu.my/id/eprint/7672/1/Modelling%20of%20Marangoni%20convection%20using%20proper%20orthogonal%20decomposition.pdf |
| _version_ | 1848840661423357952 |
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| author | Md Arifin, Norihan Md Noorani, Mohd Salmi Kilicman, Adem |
| author_facet | Md Arifin, Norihan Md Noorani, Mohd Salmi Kilicman, Adem |
| author_sort | Md Arifin, Norihan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Proper orthogonal decomposition (POD) is applied to Marangoni convection in a horizontal fluid layer heated from below and cooled from above with non-deformable free surface. We investigate two-dimensional Marangoni convection for the case of free-slip bottom in the limit of small Prandtl number. The POD technique is then used to the velocity and temperature data to obtain basis functions for both velocity and temperature fields. When these basis functions are used in a Galerkin procedure, the low-dimensional of Marangoni convection are constructed with the smallest possible degree of freedom. The results based on this low-dimensional model are discussed. |
| first_indexed | 2025-11-15T07:30:53Z |
| format | Article |
| id | upm-7672 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T07:30:53Z |
| publishDate | 2007 |
| publisher | Kluwer Academic Publishers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-76722015-10-26T02:11:01Z http://psasir.upm.edu.my/id/eprint/7672/ Modelling of Marangoni convection using proper orthogonal decomposition Md Arifin, Norihan Md Noorani, Mohd Salmi Kilicman, Adem Proper orthogonal decomposition (POD) is applied to Marangoni convection in a horizontal fluid layer heated from below and cooled from above with non-deformable free surface. We investigate two-dimensional Marangoni convection for the case of free-slip bottom in the limit of small Prandtl number. The POD technique is then used to the velocity and temperature data to obtain basis functions for both velocity and temperature fields. When these basis functions are used in a Galerkin procedure, the low-dimensional of Marangoni convection are constructed with the smallest possible degree of freedom. The results based on this low-dimensional model are discussed. Kluwer Academic Publishers 2007 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/7672/1/Modelling%20of%20Marangoni%20convection%20using%20proper%20orthogonal%20decomposition.pdf Md Arifin, Norihan and Md Noorani, Mohd Salmi and Kilicman, Adem (2007) Modelling of Marangoni convection using proper orthogonal decomposition. Nonlinear Dynamics, 48 (3). pp. 331-337. ISSN 0924-090X http://dx.doi.org/10.1007/s11071-006-9052-x 10.1007/s11071-006-9052-x English |
| spellingShingle | Md Arifin, Norihan Md Noorani, Mohd Salmi Kilicman, Adem Modelling of Marangoni convection using proper orthogonal decomposition |
| title | Modelling of Marangoni convection using proper orthogonal decomposition |
| title_full | Modelling of Marangoni convection using proper orthogonal decomposition |
| title_fullStr | Modelling of Marangoni convection using proper orthogonal decomposition |
| title_full_unstemmed | Modelling of Marangoni convection using proper orthogonal decomposition |
| title_short | Modelling of Marangoni convection using proper orthogonal decomposition |
| title_sort | modelling of marangoni convection using proper orthogonal decomposition |
| url | http://psasir.upm.edu.my/id/eprint/7672/ http://psasir.upm.edu.my/id/eprint/7672/ http://psasir.upm.edu.my/id/eprint/7672/ http://psasir.upm.edu.my/id/eprint/7672/1/Modelling%20of%20Marangoni%20convection%20using%20proper%20orthogonal%20decomposition.pdf |