Screw turbulent currents in angular domains

Abstract

On the basis of the Navier-Stokes equations with anisotropic turbulent resistance determined by the tensor of Reynolds stresses, the problem is solved concerning movement of liquid in angular domains and in the domains limited by surfaces with different characteristics of curvature. At first, we construct integrated representations of longitudinal velocity of a stream in wedge-shaped domains and study asymptotic fields of velocities and asymptotic components of stresses tensor at the surface of a wedge. Then, with the application of the tensor of anisotropic turbulent resistance, we analytically describe characteristics of the screw current in the dihedral angle (a pair of symmetric screws) and in the vicinities of a type of a wing — fuselage joint (one asymmetrical screw). The results of modeling are verified by the data of aerodynamic, hydrological and aerologic experiments.