Numerical investigation of several physical and geometric parameters in the natural convection into trapezoidal cavities |
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| Authors: | Adriano da Silva Éliton Fontana Viviana Cocco Mariani Francisco Marcondes |
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| Affiliation: | 1. Escola de Química e Alimentos – Universidade Federal do Rio Grande – FURG Rua Barão do Caí, 125, 95500-000 Santo Antônio da Patrulha – RS, Brazil;2. Departamento de Engenharia Química, Universidade Federal de Santa Catarina – UFSC, Brazil;3. Departamento de Engenharia Mecânica, Pontifícia Universidade Católica do Paraná – PUCPR Rua Imaculada Conceição, 1155, Prado Velho, 81611-970 Curitiba, PR, Brazil;4. Departamento de Engenharia Elétrica, Universidade Federal do Paraná – UFPR, Brazil;5. Departamento de Engenharia Metalúrgica e de Materiais, Universidade Federal do Ceará – UFC Caixa Postal 12144, Fortaleza, CE, Brazil |
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| Abstract: | Natural convection in trapezoidal cavities, especially those with two internal baffles in conjunction with an insulated floor, inclined top surface, and isothermal left-heated and isothermal right-cooled vertical walls, has been investigated numerically using the Element based Finite Volume Method (EbFVM). In numerical simulations, the effect of three inclination angles of the upper surface as well as the effect of the Rayleigh number (Ra), the Prandtl number (Pr), and the baffle’s height (Hb) on the stream functions, temperature profiles, and local and average Nusselt numbers has been investigated. A parametric study was performed for a wide range of Ra numbers (103 ? Ra ? 106) Hb heights (Hb = H1/3, 2H1/3, and H1), Pr numbers (Pr = 0.7, 10 and 130), and top angle (θ) ranges from 10 to 20. A correlation for the average Nusselt number in terms of Pr and Ra numbers, and the inclination of the upper surface of the cavity is proposed for each baffle height investigated. |
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