Mathematical Physics

    

Analytical Models of Plane Turbulent Wall-bounded Flows

Authors: Victor L. Mironov, Sergey V. Mironov

We present the theoretical description of plane turbulent wall-bounded flows based on the previously proposed equations for vortex fluid, which take into account both the longitudinal flow and the vortex tubes rotation. Using the simple model of eddy viscosity we obtain the analytical expressions for mean velocity profiles of steady-state turbulent flows. In particular we consider near-wall boundary layer flow as well as Couette, Poiseuille and combined Couette-Poiseuille flows. In all these cases the calculated velocity profiles are in good agreement with experimental data and results of direct numerical simulations.

Comments: 21 Pages.

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Submission history

[v1] 2023-07-11 12:59:36

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