Statistical theory of the small-scale structure of turbulent flows with consideration of intermittency is revised and some calculation results of variability constants, including the breakdown coefficients (the scaling exponents) and Kolmogorov constants (for “two-thirds” and the energy dissipation power laws) in the inertial-subrange, are presented.
The theory is constructed on the assumption of the presence of the turbulent and nonturbulent fluid (medium) within the generalized region of a turbulent flow as well as the dissipative and nondissipative fluid within a turbulent fluid. It is assumed that Kolmogorov laws are only true to a dissipative fluid; all small-scale constants of the theory are treated as statistical variability constants and depend on intermittency coefficient. A correlation between inertial-subrange variability constants and intermittency coefficient is established as well as that between the coefficients of the internal and external intermittency. The variability constants were calculated and compared with the data of the well studied (on experimental target) small-scale structure of the nonhomogeneous turbulent flows of a classical type.
In conclusion, one of the distinctive features of the presented theory is that the statistical nature of inertial-subrange variability constants, including scaling exponents in power laws and Kolmogorov constants, was taken into account.
