F203 Two-Dimensional Rayleigh-Benard Convection with a Square Body(DNS and computational procedure for turbulence)

概要

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Two-dimensional solution for Rayleigh-Benard convection with a square body is obtained using an accurate and efficient Chevyshev spectral collocation method. The physical model considered here is that a square body is located at the center between bottom hot and top cold wall. In order to see the effects of the presence of a body on natural convection between the hot and cold walls, we considered the cases that the body maintains an adiabatic condition and isothermal conditions of hot wall temperature, cold wall temperature, a half of hot and cold wall temperature for different Rayleigh numbers varying in the range of 4×10^3 to 10^6. When the Rayleigh number is small, the flow and temperature distribution between the hot and cold wall show a symmetric and steady pattern. With increasing Rayleigh number, the flow and temperature fields show still steady but non-symmetric patterns. The Rayleigh number, which the flow and temperature fields are steady but non-symmetric, depends on the thermal conditions of a body. With further increasing Rayleigh number, the flow and temperature becomes time-dependent with non-symmetric shapes, giving time-dependent local, surface-averaged, and time- and surface-averaged Nusselt number on the hot and cold walls.
一般社団法人日本機械学会の論文
2000-10-01