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Natural convection from a discrete heat source on the bottom of a horizontal enclosure

机译:来自水平外壳底部的离散热源的自然对流

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Steady, natural convection from a discrete flush-mounted rectangular heat source on the bottom of a horizontal enclosure is studied numerically. Three-dimensional form of Navier-Stokes equations are solved by using multigrid technique. Rayleigh number based on the enclosure height is varied from l0~3 until unstable flow is predicted for a fixed Prandtl number of 0.7l. Aspect ratio of the source is varied until it fully covered the entire width of the bottom plate. The enclosure is cooled from above and insulated from the bottom. Effect of vertical boundary conditions on the rate of heat transfer from the heat source is studied. It is found that the rate of heat transfer is not so sensitive to the vertical wall boundary conditions. The limit of the maximum Rayleigh number to obtain a convergent solution decreases as the aspect ratio of the source is increased. The variation of Nusselt number as a function of Rayleigh number and aspect ratio of the source is reported.
机译:数值研究了水平外壳底部离散的齐平安装矩形热源的稳态自然对流。利用多重网格技术求解了Navier-Stokes方程的三维形式。根据围栏高度的瑞利数在10〜3之间变化,直到对于固定的0.7l普朗特数预测不稳定流量为止。改变光源的长宽比,直到它完全覆盖了底板的整个宽度。机箱从上方冷却并与底部绝缘。研究了垂直边界条件对热源传热速率的影响。发现传热速率对垂直壁边界条件不太敏感。随着源的长宽比增加,获得收敛解的最大瑞利数的极限降低。报告了努塞尔数随瑞利数和光源长宽比的变化。

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