中心有圆孔的双面水平等温圆板的自然对流换热

P. Oosthuizen
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引用次数: 0

摘要

在水平的双面薄圆板的中心开一个小孔可以提高板的自然对流换热率,本文对此进行了数值研究。假设上下两板表面是等温且温度相同的,并且沿垂直中心线沿板内流动是轴对称的。采用了Boussinesq方法。利用ANSYS FLUENT©进行了求解。在有效板直径的基础上,用努塞尔数表示了顶部和底部板表面的平均换热率和整个受热表面的总换热率。这些努塞尔数取决于基于板的有效直径的瑞利数,板中心孔直径与板外径的比值,以及普朗特数,普朗特数为0.74时得到的结果。在中心有孔的板的传热率与在相同条件下无孔的板的传热率进行了比较。结果表明,在某些情况下,由于中心孔的存在,换热率有所提高。这种增长通常相对较小。结果还表明,在其他情况下,由于中心孔的存在,换热率降低。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
NATURAL CONVECTIVE HEAT TRANSFER FROM A THIN TWO-SIDED HORIZONTAL ISOTHERMAL CIRCULAR PLATE WITH A CIRCULAR HOLE IN THE CENTER
The natural convective heat transfer rate from a thin, horizontal, two-sided circular plate might be increased by having a small hole in the center of the plate and this has been investigated in the present numerical study. It has been assumed that the upper and lower plate surfaces are isothermal and at the same temperature, and that the flow is axisymmetric about the vertical center-line through the plate. The Boussinesq approach has been adopted. The solution has been obtained using ANSYS FLUENT © . The mean heat transfer rates from the top and bottom plate surfaces and the total heat transfer rate from the entire heated surface have been expressed in terms of Nusselt numbers based on the effective plate diameter. These Nusselt numbers are dependent on the Rayleigh number based on the effective diameter of the plate, the ratio of the diameter of the hole in the center of the plate to the outer diameter of the plate, and on the Prandtl number, results being obtained for a Prandtl number of 0.74. Heat transfer rate for a plate having a hole in its center has been compared with the heat transfer rate existing under the same conditions for a plate without a hole. The results show that there is some increase in the heat transfer rate in certain situations resulting from the presence of the center hole. This increase is generally relatively small. The results also show that in other situations the heat transfer rate decreases due to the center hole.
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