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

作　　者：周海兵[1] 崔桂香[1] 许春晓[1] 张兆顺[1] 

机构地区：[1]清华大学工程力学系,北京100084

出　　处：《力学学报》2004年第1期84-87,共4页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金资助项目(10272065);中法实验室(LIAMA)和清华大学基础研究基金资助项目~~

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PrT与分子普朗特数的倒数呈线性关系;湍流亚格子普朗特数PrT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Prt数出现极小值.This paper studies the transportation of passive scalar in the turbulence with different molecular Prandtl numbers by direct numerical simulation. This paper provides sound evidence that the turbulence Prandtl number depends on molecular Prandtl number. In the logarithm law region, the turbulence Prandtl number PrT varies linearly with the reciprocal of molecular Prandtl number in Reynolds average. The relationship between subgrid-scale turbulence Prandtl number Prt and molecular Prandtl number is more complicated, the minimum Prt occurs at Pr =1.0.

关 键 词：湍流场 流体力学 被动标量 普朗特数 雷诺平均 亚格子模式 扩散系数 

分 类 号：O357.5[理学—流体力学]