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首页> 外文期刊>Computational thermal sciences >NUMERICAL INVESTIGATION OF BOUNDARY CONDITION EFFECTS ON LAMINAR NATURAL CONVECTION OF POWER LAW FLUIDS IN SQUARE CROSS-SECTIONAL CYLINDRICAL ANNULAR SPACE WITH DIFFERENTIALLY HEATED VERTICAL WALLS
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NUMERICAL INVESTIGATION OF BOUNDARY CONDITION EFFECTS ON LAMINAR NATURAL CONVECTION OF POWER LAW FLUIDS IN SQUARE CROSS-SECTIONAL CYLINDRICAL ANNULAR SPACE WITH DIFFERENTIALLY HEATED VERTICAL WALLS

机译：矩形截面的垂直加热壁面对幂律流体层流自然对流的边界条件影响的数值研究

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摘要

Axisymmetric numerical simulations have been conducted to analyse steady-state convection of power law fluids in square cross-sectional cylindrical annular space with differentially heated vertical walls for nominal Rayleigh number range 10~3 < Ra ≤ 10~6, nominal Prandtl number range 10~2 ≤ Pr ≤ 10~4, and power law exponent range 0.6 ≤ n ≤1.8 for both constant wall temperature (CWT) and constant wall heat flux (CWHF) boundary conditions. It has been shown that the mean Nusselt number based on the inner periphery Nui increases with decreasing (increasing) power law exponent (nominal Rayleigh number) due to strengthening of thermal advection. However, Nui has been found to be insensitive to the change in nominal Prandtl number. It has been demonstrated that Nui decreases mth increasing internal cylinder radius (normalized by its height Ti/L) before approaching the mean Nusselt number for a square enclosure in the limit at γi/L→∞.By contrast, the mean Nusselt number normalized by the corresponding Nusselt number for pure conductive transport (i.e., Nui/Nucond) increases with increasing ri/L. It has been found that Nut assumes smaller values for the CWHF boundary condition than in the CWT boundary condition for the same set of values of nominal Rayleigh and Prandtl numbers, and power law exponent for large values of Ra. Detailed physical explanations have been provided for the observed behavior, and correlations for Nui have been proposed based on scaling arguments, which satisfactorily capture the mean Nusselt number obtained from these steady-state simulations.
机译：进行了轴对称数值模拟，以分析公称瑞利数范围为10〜3

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