充分发展湍流场中Pr数对被动标量输运的影响
THE EFFECT OF MOLECULAR PRANDTL NUMBERS ON TRANSPORTATION OF PASSIVE SCALAR IN FULLY DEVELOPED TURBULENCE
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摘要: 采用直接数值模拟方法，研究壁湍流中分子$Pr$数对湍流被动标量输运的影响. 发现在槽道湍流的外层，湍流雷诺平均普朗特数$Pr_{T}$与分子普朗特数的倒数呈线性关系；湍流亚格子普朗特数$Pr_{t}$与分子普朗特数的关系较为复杂，在分子普朗特数为1附近时，湍流亚格子$Pr_{t}$数出现极小值Abstract: This paper studies the transportation of passive scalarin the turbulence with different molecular Prandtl numbers by directnumerical simulation. This paper provides sound evidence that theturbulence Prandtl number depends on molecular Prandtl number. In thelogarithm law region, the turbulence Prandtl number $Pr_{T}$ varieslinearly with the reciprocal of molecular Prandtl number in Reynoldsaverage. The relationship between subgrid-scale turbulence Prandtlnumber $Pr_{t}$ and molecular Prandtl number is more complicated, theminimum $Pr_{t}$ occurs at $Pr=1.0$
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