Mathematical model on scaling law in fully developed turbulence
FU Qiang;LI Chenxi;SHI Hansheng;WANG Wei;College of Meteorology and Oceanography,PLA Univ.of Sci.& Tech.;College of Sciences,PLA Univ.of Sci.& Tech.;Centre of Meteorology of Nanjing Military Region Command;
A novel mathematical model was presented to describe the statistical characteristics of developed turbulence,especially in inhomogeneous case.It has an important guidance and important practical value to understand the characteristics of small scale turbulent structures and turbulent numerical method.The scaling exponents of turbulence can be more easily obtained by this model,which is much different from the early method.This theory does no longer rely on"the existence of inertia range"or the assumption of large Reynolds number,and the scale exponents can be determined completely by calculating.The results of research show that the obtained scaling exponents based on the model is consistent with that on ESS with error within 1%,that the method is the new progress of turbulence research,and that the physical meaning is more clear.