Abstract
Using the method of joined asymptotic expansions and the two‐layer scheme of incompressible‐fluid flow in a turbulent two‐dimensional boundary layer, we have derived relations for calculating the coefficient of turbulent friction and the distribution of the Reynolds stress over the cross sections of the layer in the first asymptotic approximation. It is shown that in the zone of a defect on bodies having a relatively large disturbance‐surface curvature the velocities should be separated into vortex velocities, which are due to the coherent structures, and potential velocities, caused by the transverse pressure gradient. From the available experimental data on the structure of the flow we inferred that the redundant‐velocity profile obtained in the limiting asymptotic approximation, which, in this case, as in the case of self‐similar (equilibrium) regime of flow, is locally dependent on only the Clauser parameter, is universal.
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Mikhailov, V.V. Use of Asymptotic Methods for Calculation of a Turbulent Boundary Layer. Journal of Engineering Physics and Thermophysics 77, 138–147 (2004). https://doi.org/10.1023/B:JOEP.0000020729.20120.c8
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DOI: https://doi.org/10.1023/B:JOEP.0000020729.20120.c8