Numerical Study of Natural Convection within a Wavy Enclosure Using Meshfree Approach: Effect of Corner Heating
This paper presents a numerical study of natural convection within a wavy enclosure heated via corner heating. The considered enclosure is a square enclosure with left wavy side wall. The vertical wavy wall of the enclosure and both of the corner heaters are maintained at constant temperature, Tc a...
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| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/842401 |
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| author | Sonam Singh R. Bhargava |
| author_facet | Sonam Singh R. Bhargava |
| author_sort | Sonam Singh |
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| description | This paper presents a numerical study of natural convection within a wavy enclosure heated via corner heating. The considered enclosure is a square enclosure with left wavy side wall. The vertical wavy wall of the enclosure and both of the corner heaters are maintained at constant temperature, Tc and Th, respectively, with Th>Tc while the remaining horizontal, bottom, top and side walls are insulated. A penalty element-free Galerkin approach with reduced gauss integration scheme for penalty terms is used to solve momentum and energy equations over the complex domain with wide range of parameters, namely, Rayleigh number (Ra), Prandtl number (Pr), and range of heaters in the x- and y-direction. Numerical results are represented in terms of isotherms, streamlines, and Nusselt number. It is observed that the rate of heat transfer depends to a great extent on the Rayleigh number, Prandtl number, length of the corner heaters and the shape of the heat transfer surface. The consistent performance of the adopted numerical procedure is verified by comparison of the results obtained through the present meshless technique with those existing in the literature. |
| format | Article |
| id | doaj-art-1428eb9d95f149e09e3f294961e7aaf2 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-1428eb9d95f149e09e3f294961e7aaf22025-08-20T03:54:33ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/842401842401Numerical Study of Natural Convection within a Wavy Enclosure Using Meshfree Approach: Effect of Corner HeatingSonam Singh0R. Bhargava1Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand 247667, IndiaDepartment of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand 247667, IndiaThis paper presents a numerical study of natural convection within a wavy enclosure heated via corner heating. The considered enclosure is a square enclosure with left wavy side wall. The vertical wavy wall of the enclosure and both of the corner heaters are maintained at constant temperature, Tc and Th, respectively, with Th>Tc while the remaining horizontal, bottom, top and side walls are insulated. A penalty element-free Galerkin approach with reduced gauss integration scheme for penalty terms is used to solve momentum and energy equations over the complex domain with wide range of parameters, namely, Rayleigh number (Ra), Prandtl number (Pr), and range of heaters in the x- and y-direction. Numerical results are represented in terms of isotherms, streamlines, and Nusselt number. It is observed that the rate of heat transfer depends to a great extent on the Rayleigh number, Prandtl number, length of the corner heaters and the shape of the heat transfer surface. The consistent performance of the adopted numerical procedure is verified by comparison of the results obtained through the present meshless technique with those existing in the literature.http://dx.doi.org/10.1155/2014/842401 |
| spellingShingle | Sonam Singh R. Bhargava Numerical Study of Natural Convection within a Wavy Enclosure Using Meshfree Approach: Effect of Corner Heating The Scientific World Journal |
| title | Numerical Study of Natural Convection within a Wavy Enclosure Using Meshfree Approach: Effect of Corner Heating |
| title_full | Numerical Study of Natural Convection within a Wavy Enclosure Using Meshfree Approach: Effect of Corner Heating |
| title_fullStr | Numerical Study of Natural Convection within a Wavy Enclosure Using Meshfree Approach: Effect of Corner Heating |
| title_full_unstemmed | Numerical Study of Natural Convection within a Wavy Enclosure Using Meshfree Approach: Effect of Corner Heating |
| title_short | Numerical Study of Natural Convection within a Wavy Enclosure Using Meshfree Approach: Effect of Corner Heating |
| title_sort | numerical study of natural convection within a wavy enclosure using meshfree approach effect of corner heating |
| url | http://dx.doi.org/10.1155/2014/842401 |
| work_keys_str_mv | AT sonamsingh numericalstudyofnaturalconvectionwithinawavyenclosureusingmeshfreeapproacheffectofcornerheating AT rbhargava numericalstudyofnaturalconvectionwithinawavyenclosureusingmeshfreeapproacheffectofcornerheating |