图书馆订阅: Guest
Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集
国际流体力学研究期刊
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN 打印: 2152-5102
ISSN 在线: 2152-5110

国际流体力学研究期刊

DOI: 10.1615/InterJFluidMechRes.v43.i3.60
pages 271-280

An Estimation of Turbulent Vector Fields, Spectral and Correlation Functions Depending on Initial Turbulence Based on Stochastic Equations. The Landau Fractal Equation

Artur V. Dmitrenko
Department of Thermal Physics, National Research Nuclear University "MEPhI", 31 Kashirskoe Shosse, Moscow, 115409, Russia; Department of Power Engineering, Moscow State University of Railway Engineering (MIIT), 9 Obraztsov St., Moscow, 127994, Russia

ABSTRACT

Analytical expressions for estimation of turbulent vector fields, spectral and correlation functions depending on the initial turbulence based on stochastic equations are presented. Calculated values of exponent of the velocity profile and the second-order correlation are in satisfactory agreement with the data for classical turbulent flows. Also, with the use of stochastic equations, the two new fractal equations for generation and diffusion of turbulence are obtained. In special case, the second fractal equation takes the form of the Landau equation. As the result, the second-order correlations and turbulent Prandtl number are presented as the functions of the initial turbulence.


Articles with similar content:

Second-Order Models of Turbulence for a Temperature Field
Heat Transfer Research, Vol.29, 1998, issue 6-8
E. P. Sukhovich
ESTIMATION OF THE CRITICAL RAYLEIGH NUMBER AS A FUNCTION OF THE INITIAL TURBULENCE OF THE BOUNDARY LAYER AT A VERTICAL HEATED PLATE
Heat Transfer Research, Vol.48, 2017, issue 13
Artur V. Dmitrenko
EVOLUTION OF VORTICITY IN SWIRLING AXISYMMETRIC FLOWS OF A VISCOUS INCOMPRESSIBLE FLUID
TsAGI Science Journal, Vol.46, 2015, issue 3
Grigorii Borisovich Sizykh
A REGULAR PERTURBATION THEORY FOR VARIABLE PROPERTIES APPLIED TO COMPRESSIBLE BOUNDARY LAYERS
International Heat Transfer Conference 8, Vol.3, 1986, issue
Heinz Herwig, F. J. Bauhaus
Algebraic Models of Turbulent Viscosity and Heat Transfer in Analysis of Near-Wall Turbulent Flows
International Journal of Fluid Mechanics Research, Vol.31, 2004, issue 3
Eugene Alexeyevich Shkvar, V. I. Mamchuk, L. A. Romanyuk, M. Lunis, V. T. Movchan