Abstract

Two- and three-dimensional non-stationary flows of incompressible viscous fluid in a plane infinite channel are considered. Using efficient computing algorithms based on the Navier-Stokes equations, the flows are modelled in significant time intervals. The classes of two- and three-dimensional non-stationary flows with established integral characteristics are found. Two-dimensional flows only qualitatively reflect the typical singularities of the turbulent flows observed in experiments. Three-dimensional flows are in good agreement (even quantitatively) with turbulent flows. The basic characteristics of turbulent flows (the coefficient of resistance, mean-velocity profile, and the distribution of mean square pulsations of the velocity components) are reproduced with good accuracy in the calculated three-dimensional flows.

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