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Numerical investigation of turbulent natural convection in an inclined square cavity with a hot wavy wall

机译:波浪形热壁倾斜方腔内自然对流湍流的数值研究

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The turbulent natural convection of air flow in a confined cavity with two differentially heated side walls is investigated numerically up to Rayleigh number of 10~(12). The objective of the present work is to study the effect of the inclination angle and the amplitude of the undulation on turbulent heat transfer. The low-Reynolds-number k-ε, k-ω, k-ω-SST RANS models and a coarse DNS are used and compared to the experimental benchmark data of Ampofo and Karayiannis [F. Ampofo, T.G. Karayiannis, Experimental benchmark data for turbulent natural convection in an air filled square cavity, Int. J. Heat Mass Transfer 46 (2003) 3551-3572]. The k-ω-SST model is then used for the following test-cases as it gives the closest results to experimental data and coarse DNS for this case. The mean flow quantities and temperature field show good agreement with coarse DNS and measurements, but there are some slight discrepancies in the prediction of the turbulent statistics. Also, the numerical results of the heat flux at the hot wall are over predicted. The strong influence of the undulation of the cavity and its orientation is well shown. The trend of the local heat transfer is wavy with different frequencies for each undulation. The turbulence causes an increase in the convective heat transfer on the wavy wall surface compared to the square cavity for high Rayleigh numbers. A correlation of the mean Nusselt number function of the Rayleigh number is also proposed for the range of Rayleigh numbers of 10~9-10~(12).
机译:数值研究了瑞利数为10〜(12)的密闭空腔中具有两个不同加热侧壁的气流的湍流自然对流。本工作的目的是研究倾斜角和起伏幅度对湍流传热的影响。使用低雷诺数k-ε,k-ω,k-ω-SSTRANS模型和粗DNS,并将其与Ampofo和Karayiannis的实验基准数据进行比较[F. T.G.安波福Karayiannis,充气方腔内自然湍流自然对流的实验基准数据。热传质46(2003)3551-3572]。然后,将k-ω-SST模型用于以下测试案例,因为它为该案例提供了最接近实验数据和粗略DNS的结果。平均流量和温度场与粗DNS和测量值显示出很好的一致性,但是在湍流统计的预测中存在一些细微的差异。同样,热壁处的热通量的数值结果也被过度预测。很好地显示了腔的起伏及其方向的强烈影响。对于每个波动,局部传热的趋势呈波浪形,且频率不同。与高瑞利数的方腔相比,湍流导致波浪形壁表面上的对流传热增加。对于10〜9-10〜(12)范围的瑞利数,还提出了瑞利数的平均努塞尔数函数的相关性。

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