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EN
An experimental investigation of the turbulent flow over a flat plate in a subsonic wind tunnel was carried out. The enhanced level of turbulence was generated by five wicker grids with square meshes, and different parameters (diameter of the grid rod 0.3–3 mm and the grid mesh size 1–30 mm). The velocity of the flow was measured by means of a 1D hot-wire probe, suitable for measurements in a boundary layer. The aim of the investigation was to explore the turbulence length scale in the flow behind grids and to study its influence on the onset of laminar-turbulent bypass transition in a boundary layer on a flat plate. To assess the isotropy of turbulence, the skewness and kurtosis factors of the flow velocity distribution were determined. Several longitudinal scales of turbulence were determined and compared (integral, dissipation, Taylor microscale, and Kolmogorov scale) for different grids and different velocities of the mean flow 4, 6, 10, 15, and 20 m/s.
EN
In this paper, we examine the zero-fourth cumulant approximation that was applied to fluctuating velocity components of homogeneous and isotropic turbulence by M.D. Millionschikov. Since the publication of the remarkable paper of Millionschikov, many authors have applied this hypothesis to solve the closure problem of turbulence. We discuss here various studies by the other authors on the developments of this hypothesis and their applications to the incompressible velocity temperature, hydrodynamic and magnetohydrodynamic fluctuating pressure fields and the general magnetohydrodynamic turbulence field. Lastly, we discuss broadly the computational difficulties that arise in turbulence problems and their possible refinements. We include also some enlightments of the process of future work that could be undertaken in this field of research.
EN
Kinematic models for 2D and 3D velocity fields of homogeneous isotropic turbulence are considered. Numerical simulation is performed to obtain a number of independent realisations of the field and some two-point statistics are computed and discussed. The statistics include the velocity correlations and the spectral energy density.
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