Numerical Study of Natural Convection in a Heated Enclosure with Two Wavy Vertical Walls Using Finite Element Method
The effects of wavy geometry on natural convection in an enclosure with two wavy vertical walls and filled with fluid saturated porous media are investigated numerically by using finite element method. The wavy enclosure is transformed to a unit square in the computational domain and the finite elem...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/853231 |
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| _version_ | 1832550201392365568 |
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| author | Pensiri Sompong Supot Witayangkurn |
| author_facet | Pensiri Sompong Supot Witayangkurn |
| author_sort | Pensiri Sompong |
| collection | DOAJ |
| description | The effects of wavy geometry on natural convection in an enclosure with two wavy vertical walls and filled with fluid saturated porous media are investigated numerically by using finite element method. The wavy enclosure is transformed to a unit square in the computational domain and the finite element formulations are solved in terms of ξη-coordinate based on iterative method. In order to investigate the effects of interested parameters, the values of wave amplitude (λ = 0.05 and 0.1) and number of undulations (n = 1 and 2) are chosen with constants Ra = 105, Da = 10−3, and Pr = 0.71. It is found that the increase in number of undulations has small effect on natural convection inside the enclosure whereas the increase in wave amplitude reduces the strength of convection because higher wave volume plays a barricade role. |
| format | Article |
| id | doaj-art-3228ee2145fb4dc9acdfb6c05c5313ff |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3228ee2145fb4dc9acdfb6c05c5313ff2025-02-03T06:07:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/853231853231Numerical Study of Natural Convection in a Heated Enclosure with Two Wavy Vertical Walls Using Finite Element MethodPensiri Sompong0Supot Witayangkurn1Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandThe effects of wavy geometry on natural convection in an enclosure with two wavy vertical walls and filled with fluid saturated porous media are investigated numerically by using finite element method. The wavy enclosure is transformed to a unit square in the computational domain and the finite element formulations are solved in terms of ξη-coordinate based on iterative method. In order to investigate the effects of interested parameters, the values of wave amplitude (λ = 0.05 and 0.1) and number of undulations (n = 1 and 2) are chosen with constants Ra = 105, Da = 10−3, and Pr = 0.71. It is found that the increase in number of undulations has small effect on natural convection inside the enclosure whereas the increase in wave amplitude reduces the strength of convection because higher wave volume plays a barricade role.http://dx.doi.org/10.1155/2014/853231 |
| spellingShingle | Pensiri Sompong Supot Witayangkurn Numerical Study of Natural Convection in a Heated Enclosure with Two Wavy Vertical Walls Using Finite Element Method Journal of Applied Mathematics |
| title | Numerical Study of Natural Convection in a Heated Enclosure with Two Wavy Vertical Walls Using Finite Element Method |
| title_full | Numerical Study of Natural Convection in a Heated Enclosure with Two Wavy Vertical Walls Using Finite Element Method |
| title_fullStr | Numerical Study of Natural Convection in a Heated Enclosure with Two Wavy Vertical Walls Using Finite Element Method |
| title_full_unstemmed | Numerical Study of Natural Convection in a Heated Enclosure with Two Wavy Vertical Walls Using Finite Element Method |
| title_short | Numerical Study of Natural Convection in a Heated Enclosure with Two Wavy Vertical Walls Using Finite Element Method |
| title_sort | numerical study of natural convection in a heated enclosure with two wavy vertical walls using finite element method |
| url | http://dx.doi.org/10.1155/2014/853231 |
| work_keys_str_mv | AT pensirisompong numericalstudyofnaturalconvectioninaheatedenclosurewithtwowavyverticalwallsusingfiniteelementmethod AT supotwitayangkurn numericalstudyofnaturalconvectioninaheatedenclosurewithtwowavyverticalwallsusingfiniteelementmethod |