USE OF ASYMPTOTIC METHODS FOR CALCULATION 
OF A TURBULENT BOUNDARY LAYER

V. V. Mikhailov

UDC 532.542.4

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.

N. E. Zhukovskii Central Aerohydrodynamics Institute, Zhukovskii, 
Moscow Region, 140180, Russia; email: drsnv@aerocentr.msk.su. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 77, No. 1, pp. 
114-121, January-February, 2004. Original article submitted 
June 9, 2003.