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Proceedings of CHT-12. ICHMT International Symposium on Advances in Computational Heat Transfer.
July, 1-6, 2012, Bath, England

DOI: 10.1615/ICHMT.2012.CHT-12


ISBN: 978-1-56700-303-1

ISSN: 2578-5486

NATURAL CONVECTION AND SURFACE RADIATION BETWEEN A HORIZONTAL HEAT GENERATING SOLID CYLINDER AND A THICK OUTER CYLINDRICAL SHELL

pages 1345-1363
DOI: 10.1615/ICHMT.2012.CHT-12.810
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RESUMO

A computational study of two-dimensional conjugate natural convection and its interaction with surface radiation in the horizontal annulus between a heat generating solid cylinder and a thick outer cylindrical shell is performed. The natural convection in the annulus is driven by the uniform volumetric heat generation inside the solid cylinder. Numerical solutions of the Boussinesq equations and the solid energy equation in primitive variables are obtained on a staggered mesh with a pressure correction method, with a custom code. The surface radiation is coupled to the conduction and convection at the solid-fluid interfaces. The steady state is obtained as long time-solution of the time-dependent formulation. Results for various quantities of interest, namely, the flow and temperature distributions, local and average Nusselt numbers, dimensionless local and average interface temperatures, are presented. The Grashof number based on the volumetric heat generation and gap width is varied from 105 to 5×109. The solid-to-fluid thermal conductivity ratio for the inner cylinder ranges from 5 to 20. The metallic outer wall has a conductivity ratio 1358 corresponding to lead. The dimensionless thickness (with respect to gap width) of the outer shell is in the range 0.0825-1, while the inner cylinder dimensionless radius is 0.2. Air is the working medium for which the Prandtl number is 0.71. As the Grashof number increases, the strength of the natural convection and the tendency for temperature stratification increases. Radiation, while weakening the natural convection, dissipates a considerable fraction of the heat generated inside the system.

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