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首页> 外文期刊>International Journal of Heat and Mass Transfer >A correlation for the calculation of the local Nusselt number around circular cylinders in the range 10 ≤ Re ≤ 250 and 0.1 ≤ Pr ≤ 40
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A correlation for the calculation of the local Nusselt number around circular cylinders in the range 10 ≤ Re ≤ 250 and 0.1 ≤ Pr ≤ 40

机译：计算10≤Re≤250和0.1≤Pr≤40范围内的圆柱周围的局部Nusselt数的相关性

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摘要

In this paper a fictitious domain method is used to study the local heat transfer from an isothermal circular cylinder at low to moderate Reynolds numbers in order to provide a high quality correlation for the calculation of the local Nusselt numbers. A trigonometric series with 13 coefficients is found to best describe the local Nusselt number curves. A 5th order 2D polynomial in terms of Reynolds and Prandtl numbers is then used to provide a correlation for each of the 13 coefficients. A very high resolution database consisting of 25 Reynolds numbers from 10 to 250 in increments of 10, and 24 Prandtl numbers from 0.1 to 40 comprising a total of 600 simulations is used for the modeling. In addition to the 5th order polynomials cubic interpolants are also used to provide highly accurate fits. The maximum error in calculating the average Nusselt number is always less that 2.5% for the cubic interpolants and is 10% maximum for the 5th order polynomials.
机译：本文采用虚拟域方法研究低到中等雷诺数时等温圆柱体的局部传热，从而为计算局部努塞尔特数提供高质量的相关性。发现具有13个系数的三角序列可以最好地描述局部Nusselt数曲线。然后使用雷诺数和普朗特数表示的5阶2D多项式为13个系数中的每一个提供相关性。建模使用了一个非常高分辨率的数据库，该数据库由10到250的25个雷诺数（以10为增量）和0.1到40的24个Prandtl数组成，总共进行了600次模拟。除5阶多项式外，三次插值还用于提供高度精确的拟合。对于三次插值，计算平均Nusselt数的最大误差始终小于2.5％，对于五阶多项式，最大误差为10％。

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