Numerical Investigation of Laminar Natural Convection in Inclined Square Enclosure with the Influence of Discrete Heat Source
Natural convection heat transfer in a two-dimensional square enclosure at various angles of inclination is investigated numerically using a finite volume based computational procedure. The heat transfer is from a constant temperature heat source of finite length centred at one of the walls to the co...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/985218 |
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| author | Chithra Devaraj Eswaramurthi Muthuswamy Sundararaj Kandasamy |
| author_facet | Chithra Devaraj Eswaramurthi Muthuswamy Sundararaj Kandasamy |
| author_sort | Chithra Devaraj |
| collection | DOAJ |
| description | Natural convection heat transfer in a two-dimensional square enclosure at various angles of inclination is investigated numerically using a finite volume based computational procedure. The heat transfer is from a constant temperature heat source of finite length centred at one of the walls to the cold wall on the opposite side while the remaining walls are insulated. The effect of area ratio of the heat source A from 0.2 to 1.0, Rayleigh number Ra from 103 to 107, and angle of inclination of the enclosure θ varying from 0° to 360° on the flow field and heat transfer characteristics are investigated. Streamline and isothermal line patterns are found to be similar at low Rayleigh numbers whereas at high Rayleigh numbers the differences are significant due to the influence of the parameters considered. Average Nusselt number decreases drastically as the position of the heat source is moved above the horizontal centre line of the enclosure. Correlation of the average Nusselt number which depends on the parameters of interest is obtained in the general form CRamAn. The correlation coefficients are determined by multiple regression analysis for the entire range of Rayleigh numbers analysed and the values found by correlation equations are in good agreement with the numerical results. |
| format | Article |
| id | doaj-art-b8dea50479ca47c4b9ef07c5d4c7e637 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b8dea50479ca47c4b9ef07c5d4c7e6372025-02-03T05:47:07ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/985218985218Numerical Investigation of Laminar Natural Convection in Inclined Square Enclosure with the Influence of Discrete Heat SourceChithra Devaraj0Eswaramurthi Muthuswamy1Sundararaj Kandasamy2Sri Ramakrishna Engineering College, Vattamalaipalayam, NGGO Colony, Coimbatore 641 022, IndiaVelalar College of Engineering and Technology, Thindal, Erode, Tamil Nadu 638 012, IndiaSri Ramakrishna Engineering College, Vattamalaipalayam, NGGO Colony, Coimbatore 641 022, IndiaNatural convection heat transfer in a two-dimensional square enclosure at various angles of inclination is investigated numerically using a finite volume based computational procedure. The heat transfer is from a constant temperature heat source of finite length centred at one of the walls to the cold wall on the opposite side while the remaining walls are insulated. The effect of area ratio of the heat source A from 0.2 to 1.0, Rayleigh number Ra from 103 to 107, and angle of inclination of the enclosure θ varying from 0° to 360° on the flow field and heat transfer characteristics are investigated. Streamline and isothermal line patterns are found to be similar at low Rayleigh numbers whereas at high Rayleigh numbers the differences are significant due to the influence of the parameters considered. Average Nusselt number decreases drastically as the position of the heat source is moved above the horizontal centre line of the enclosure. Correlation of the average Nusselt number which depends on the parameters of interest is obtained in the general form CRamAn. The correlation coefficients are determined by multiple regression analysis for the entire range of Rayleigh numbers analysed and the values found by correlation equations are in good agreement with the numerical results.http://dx.doi.org/10.1155/2015/985218 |
| spellingShingle | Chithra Devaraj Eswaramurthi Muthuswamy Sundararaj Kandasamy Numerical Investigation of Laminar Natural Convection in Inclined Square Enclosure with the Influence of Discrete Heat Source Journal of Applied Mathematics |
| title | Numerical Investigation of Laminar Natural Convection in Inclined Square Enclosure with the Influence of Discrete Heat Source |
| title_full | Numerical Investigation of Laminar Natural Convection in Inclined Square Enclosure with the Influence of Discrete Heat Source |
| title_fullStr | Numerical Investigation of Laminar Natural Convection in Inclined Square Enclosure with the Influence of Discrete Heat Source |
| title_full_unstemmed | Numerical Investigation of Laminar Natural Convection in Inclined Square Enclosure with the Influence of Discrete Heat Source |
| title_short | Numerical Investigation of Laminar Natural Convection in Inclined Square Enclosure with the Influence of Discrete Heat Source |
| title_sort | numerical investigation of laminar natural convection in inclined square enclosure with the influence of discrete heat source |
| url | http://dx.doi.org/10.1155/2015/985218 |
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