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Second-order relative exponent of isotropic turbulence
Authors:Shuxiao Wan  Zheng Ran
Affiliation:Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Abstract: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 S2 is greater than the real or theoretical inertial range scaling exponent ξ2, which is attributed to an evident bump in the ESS range.
Keywords:isotropic turbulence  structure function  EES scaling exponent
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