ISSN 2070-7401 (Print), ISSN 2411-0280 (Online)
Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa


Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2012, Vol. 9, No. 3, pp. 137-141

The high resolution analysis of structure functions for the electric field turbulence in thunderstorm clouds

I.A. Krasnova 1, N.S. Erokhin 2, N.N. Zolnikova 3, L.A. Mikhailovskaya 3
1 People Friendship University of Russia, 115419, Moscow, Ordzhonikidze, 3
2 People Friendship University of Russia Space Research Institute, 115419, Moscow, Ordzhonikidze, 3 117997, Moscow, Profsoyuznaya, 84/32
3 Space Research Institute, 117997, Moscow, Profsoyuznaya, 84/32
It has been performed the numerical analysis of structure functions Sm(L) for an electric turbulence in thunderstorm clouds by usage of experimental data on altitude profile of the electric field vertical component E(z) in the height range 0.239…11.24813 km. The electric field was varied in the range -96.61…147.46 kV/m. In the upper part the measurement altitude range the electric field was at E(z) ≈ 13.8 kV/m. Digitization of the experimental plots and elaboration of analytical approximations Ea(z) for the electric field E(z) in thunderstorm clouds in a class of localized functions were made. Numerical calculations of the structure functions Sm(L) for the orders m in the range 0.1 ≤ m ≤ 7 were performed with small enough step in the altitude dz = 2m. Plots of Sm(L) have been obtained and inertial intervals (where power law degree dependence of Sm(L) is observing) of electric turbulence were detected in the small scales range and the middle scale one. Scaling exponents g(m) for inertial intervals were determined which are significantly differ from the Kolmogorov scaling gk(m) = m/3 and the helical one gh(m) = 2m/3 in the homogeneous, isotropic hydrodynamical turbulence. It is established that Sm(L) behaviour may be explained by the presence in middle scale range of turbulence intermittency and coherent structures which influence on scaling exponents g(m). Results obtained are of the great interest for following investigations of intense atmospheric vortices charged subsystems contribution to the hydrodynamical helicity H = VrotV generation and to the development of inhomogeneous, self-consistent wind structure in the powerfull atmospheric vortices.
Keywords: structure functions, inertial intervals, electric turbulence, scaling exponents, thunderstorm clouds, coherent structures, altitude distributions
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