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Natural convection in an air-filled cubical cavity under different angles of inclination: A benchmark study

Sasa Kenjeres
Transport Phenomena Section, Department of Chemical Engineering, Faculty of Applied Sciences, Delft University of Technology and J.M. Burgerscentrum for Fluid Mechanics, Delft, The Netherlands

S. B. Gunarjo
Department of Applied Physics, Thermo-Fluids Section, Deft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands

Kemal Hanjalic
Department of Physics, Novosibirsk State University (NSU), 1, Pirogov Str., Novosibirsk, 630090, Russia; Faculty of Applied Sciences, Delft University of Technology (TU Delft), Building 58, Van der Maasweg 9, 2629 HZ, Delft, The Netherlands

Abstract

Benchmark computations are reported of natural convection of air (Pr=0.71) for a range of Rayleigh numbers (105Ra ≤108), in a cubical cavity at three angles of inclination (φ = 0, 45, 90°), with two opposite walls at constant temperatures Tc and Th, and the four remaining walls having linear temperature variation from Th to Tc. The computations were performed using a finite volume transient method on a high-resolution non-uniform grid (823), with central differencing scheme (CDS) for the spatial, and an implicit three-level scheme (ITLS) for the time integration. The results are in good agreement with the reference experimental measurements.

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