Journal of Applied Mechanics and Technical Physics

, Volume 12, Issue 5, pp 706–713

# Asymptotic theory of the turbulent boundary layer as a problem of singular perturbations

• D. N. Vasil'ev
Article

## Abstract

We consider an asymptotic theory of the turbulent boundary layer [1,2]. In this paper we make an attempt to further develop the mathematical aspects of this theory. We demonstrate the features of this theory by applying it to a problem which is close to the so-called equilibrium turbulent boundary layer with a pressure gradient and blowing.

## Keywords

Mathematical Modeling Boundary Layer Mechanical Engineer Pressure Gradient Industrial Mathematic
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## Notation

x, y

coordinates, parallel and perpendicular to the wall

u

velocity component in the x direction

p, ϱ',v

pressure, density, and kinematic viscosity coefficient

l'

scale of turbulence

τ

tangential stress

speed at the outer edge of the boundary layer

δ

thickness of the boundary layer

δ*

displacement thickness

δ**

momentum loss thickness

Cf

coefficient of friction

R

Reynolds number

## Literature cited

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