Second-order relative exponent of isotropic turbulence

被引：0

作者：

Wan, Shuxiao ^{[1
]}

Ran, Zheng ^{[1
]}

机构：

[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

来源：

THEORETICAL AND APPLIED MECHANICS LETTERS | 2011年 / 1卷 / 03期

基金：

中国国家自然科学基金;

关键词：

isotropic turbulence; structure function; EES scaling exponent;

D O I：

10.1063/2.1103208

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

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 S-2 is greater than the real or theoretical inertial range scaling exponent xi(2), which is attributed to an evident bump in the ESS range. (C) 2011 The Chinese Society of Theoretical and Applied Mechanics.

引用

页数：4

共 9 条

[1] Comment on the paper "On the scaling of three-dimensional homogeneous and isotropic turbulence" by Benzi et al. [J].

Barenblatt, GI ;

Chorin, AJ ;

Prostokishin, VM .

PHYSICA D, 1999, 127 (1-2) :105-110

[2] ON THE SCALING OF 3-DIMENSIONAL HOMOGENEOUS AND ISOTROPIC TURBULENCE [J].

BENZI, R ;

CILIBERTO, S ;

BAUDET, C ;

CHAVARRIA, GR .

PHYSICA D, 1995, 80 (04) :385-398

[3] EXTENDED SELF-SIMILARITY IN TURBULENT FLOWS [J].

BENZI, R ;

CILIBERTO, S ;

TRIPICCIONE, R ;

BAUDET, C ;

MASSAIOLI, F ;

SUCCI, S .

PHYSICAL REVIEW E, 1993, 48 (01) :R29-R32

[4]

Frisch U., 1995, TURBULENCE

[5]

Monin A.S., 2007, STAT FLUID MECH, V1

[6]

Panchev S., 1971, RANDOM FUNCTION TURB

[7] Inertial range and the finite Reynolds number effect of turbulence [J].

Qian, J .

PHYSICAL REVIEW E, 1997, 55 (01) :337-342

[8] Scaling exponents of the second-order structure function of turbulence [J].

Qian, J .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (14) :3193-3204

[9] UNIVERSAL EQUILIBRIUM RANGE OF TURBULENCE [J].

QIAN, J .

PHYSICS OF FLUIDS, 1984, 27 (09) :2229-2233

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