Numerical study of the flow in a three-dimensional thermally driven cavity |
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Authors: | Pieter Rauwoens Jan Vierendeels Bart Merci |
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Affiliation: | Department of Flow, Heat and Combustion Mechanics, UGent – Ghent University, Sint-Pietersnieuwstraat 41, 9000 Gent, Belgium |
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Abstract: | Solutions for the fully compressible Navier–Stokes equations are presented for the flow and temperature fields in a cubic cavity with large horizontal temperature differences. The ideal-gas approximation for air is assumed and viscosity is computed using Sutherland's law. The three-dimensional case forms an extension of previous studies performed on a two-dimensional square cavity. The influence of imposed boundary conditions in the third dimension is investigated as a numerical experiment. Comparison is made between convergence rates in case of periodic and free-slip boundary conditions. Results with no-slip boundary conditions are presented as well. The effect of the Rayleigh number is studied. |
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Keywords: | 35Q30 65N22 76M12 76N15 |
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