Abstract

The work shows that the ratio of turbulent viscosity to kinematic viscosity and the Reynolds number calculated from the dynamic velocity weakly depends on the Reynolds number, but this dependence is not monotonic. Data from direct numerical modeling of turbulent flow in pipes known from the literature show that if, instead of the Reynolds number calculated from the dynamic velocity, we use the Reynolds number calculated from the average velocity over the cross section, the indicated dependence becomes monotonic and at large values of the Reynolds number the ratio of turbulent viscosity to kinematic viscosity and Reynolds number tends to a finite limit. Formulas are obtained for calculating the maximum value of turbulent viscosity and the cross-sectional average value depending on the Reynolds number.

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