Second-order relative exponent of isotropic turbulence  

作　　者：Shuxiao Wan,and Zheng Ran~(a) Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China 

出　　处：《Theoretical & Applied Mechanics Letters》2011年第3期74-77,共4页力学快报（英文版）

基　　金：supported by the National Natural Science Foundation of China(90816013,10572083);also supported by State Key Laboratory for Turbulence and Complex System

摘　　要：Theoretical results on the scaling properties of turbulent velocity fields are reported in this letter.Based on the Kolmogorov equation and typical models of the second-order statistical moments (energy spectrum and the second-order structure function),we have studied the relative scaling using the ESS method.It is found that the relative EES scaling exponent Sis greater than the real or theoretical inertial range scaling exponentξ,which is attributed to an evident bump in the ESS range.Theoretical results on the scaling properties of turbulent velocity fields are reported in this letter.Based on the Kolmogorov equation and typical models of the second-order statistical moments (energy spectrum and the second-order structure function),we have studied the relative scaling using the ESS method.It is found that the relative EES scaling exponent S_2 is greater than the real or theoretical inertial range scaling exponentξ_2,which is attributed to an evident bump in the ESS range.

关 键 词：isotropic turbulence structure function EES scaling exponent 

分 类 号：TQ021.1[化学工程]