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关于湍流标度律的争鸣
引用本文:钱俭.关于湍流标度律的争鸣[J].力学进展,2001,31(3):405-416.
作者姓名:钱俭
作者单位:中科院研究生院物理部
基金项目:国家自然科学基金资助项目(10072065)
摘    要:研究湍流结构函数的标度律。实验或数值模拟得到的湍流结构函数的标度指数是奇异的。很多学者认为:这一实验事实否定Kolmogorov1941年(K41)提出的正常标度律,各向同性湍流惯性区的标度律是奇异的。近年来作者发表一系列文章,提出不同的观点:由于有限雷诺数效应,有限雷诺数湍流的标度指数不等于真正的惯性区标度指数,湍流结构函数的标度指数的实验数据并不否定K41正常标度律,各向同性湍流惯性区的标度律可能是正常的。惯性区奇异标度律和正常标度律对应的湍流物理本质是完全不同的,因而研究解决这个争论具有重要的意义。 

关 键 词:湍流    标度律    概率密度函数    有限雷诺数效应
修稿时间:2001年4月17日

ON THE NORMAL AND ANOMALOUS SCALING IN TURBULENCE
Qian Jian.ON THE NORMAL AND ANOMALOUS SCALING IN TURBULENCE[J].Advances in Mechanics,2001,31(3):405-416.
Authors:Qian Jian
Abstract:The scaling of structure functions in turbulence is discussed. The scaling exponents of structure functions observed in experiments and numerical simulations are anomalous. This fact was interpreted by many authors as a clear evidence against Kolmogorov 1941 (K41) theory. It is concluded that the inertial-range scaling in isotropic turbulence is anomalous. Recently we published papers to demonstrate a different point of view on the inertial-range scaling. The scaling exponents observed in turbulence with a finite Reynolds number, is not the same as the inertial- range scaling exponents, due to the finite Reynolds number effects. While the finite Reynolds num- ber effects are considered, the anomalous scaling exponents obtained in experiments or numerical simulations are not inconsistent to K41 normal scaling. The inertial-range scaling in isotropic tur- bulence may be normal. This result should have important consequence in the field of turbulence, since the fact of the inertial-range scaling being normal or anomalous implies completely different understanding of the physics of turbulence.
Keywords:turbulence  scaling  probability density function  finite Reynolds number effect
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