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Effect of the Turbulent Energy Gradient and the Presence of a Wall on the Turbulent Process of Momentum Transport
Authors:G. S. Glushko  I. A. Kryukov
Abstract:A mathematical model of turbulent transport processes is modified to make allowance for the turbulent energy gradient and the presence of walls. The modification consists in making the variance tensor in the Gaussian probability density distribution for the initial mole velocities anisotropic for nonzero turbulent energy gradient and a ratio of the turbulence scale to the distance from the wall of the order of unity. Formulas for the variance tensor components are derived and the empirical coefficients of these formulas are determined. The expression for the dimensionless turbulent friction stress is compared with experimental data for three boundary-layer-type flows, namely, in the wake of a cylinder, in the boundary layer on a flat plate, and in a channel with parallel walls.
Keywords:turbulence  incompressible fluid  wall flows  turbulence energy and scale  turbulent stress and friction  turbulent viscosity  boundary layer
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