Turbulent characteristics of the developed boundary layer in the channel

Abstract

Communicated by Academician Oleg G. Penyazkov

Mean velocity, fluctuations, spatial correlations and wave number spectra were calculated and analyzed by the LES method using the software OpenFOAM for solution of the task of the developed 3D turbulent boundary layer. The layer was formed in water flowing in the 50 х 125 х 850 mm flat channel (height, width and length, respectively) at a mean entrance velocity of 0.3 m/s that results in the Reynolds number based on the half channel height equal to 7500. The velocity profile at the channel entrance was set by the law 1/7. The turbulent parameters were calculated on two coordinates: y⁺ = 10 and 40, i. e. in the buffer and logarithmic regions of the boundary layer. The study showed that the vortex structures were generated in the buffer region; they were still identified at the beginning of the logarithmic region (y⁺ = 40). These structures form vortex packets whose scale in the transverse direction is much less than their length. The vortex packets weakly interact with each other in the transverse direction, which results in an almost constancy of the energy spectrum within a broad wave number range.