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Heat Transfer Research
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ISSN Imprimir: 1064-2285
ISSN En Línea: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2015004629
pages 631-641

NUMERICAL ANALYSIS OF LAMINAR NATURAL CONVECTION IN A QUADRANTAL CAVITY WITH A HOT BOTTOM AND COLD CURVED WALLS

Dipak Sen
Mechanical Engineering Department, National Institute of Technology Agartala, Agartala, Tripura, 799055, INDIA
P. K. Bose
Mechanical Engineering Department, National Institute of Technology Agartala, Agartala, Tripura, 799055, INDIA
Rajsekhar Panua
Mechanical Engineering Department, National Institute of Technology Agartala, Agartala, Tripura, 799055, INDIA
Ajoy Kumar Das
Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur-721302; Mechanical Engineering Department, National Institute of Technology Agartala, Agartala, Tripura, 799055, INDIA

SINOPSIS

Laminar natural convection in a water-filled quadrantal cavity is studied numerically. The temperature of the bottom wall is higher than that of the curved wall, with the vertical wall being insulated. Numerical solutions are obtained using a commercial CFD package FLUENT and a finite volume method. Two-dimensional steady-state continuity, Navier−Stokes, and energy equations are solved along with the Boussinesq approximation. The effects of the Rayleigh number, Ra, on the Nusselt number, Nu, as well as the fluid flow and heat transfer are investigated for the range of Ra from 104 to 107. Numerical results are presented in terms of stream functions, temperature profiles, and Nusselt numbers. Observations show that both flow and temperature fields are affected by a changing Ra. Finally, a correlation for Nu and Ra is established.


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