The instabilities of anisotropically driven developed turbulence in D-dimensional case

J. Busa¹ - M. Hnatich² - J. Honkonen³ - D. Horvath²

¹ Technical University of Kosice, Kosice, Slovakia
² Slovak Academy of Sciences, Kosice
³ University of Helsinki, Helsinki, Finland

Abstract
In the study reported here we reformulate the isotropic statistical hydrodynamic concept, which is often used for description homogeneous developed turbulence of incompressible fluids inside the inertial subscales. In the frame of the model, the axial symmetry effects are driven by the free parameters of the external forcing. The infrared aspects of the model are treated using renormalization group method. Considerable attempt has been put into the one loop calculation of Kolmogorov constant and its relations with the spectral projections ( streamwise and crossstreamwise components) in the cases when the competition between symmetry of external forcing and Navier Stokes dynamics can have the significant influence on the Kolmogorov scaling stability. We emphasize the generalization introduced by combined anisotropic and d-dimensional approach. The obtained results provide the non trivial extension to more complex MHD systems. Tables 2, Fig. 1, Refs 18.