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# Accession Number:

## AD0694886

# Title:

## POSSIBLE APPROXIMATION METHODS OF SOLVING PROBLEMS OF THE TURBULENT BOUNDARY LAYER DURING THE MOTION OF GAS MIXTURE MOVEMENT,

# Descriptive Note:

# Corporate Author:

## FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

# Report Date:

## 1969-02-07

# Pagination or Media Count:

##
22.0

# Abstract:

## A general formulation of the problem of the motion of a mixture of gases in a turbulent boundary layer over a wing section or an axially symmetric body is given, as well as possible approximate methods of solution. The energy equation was solved approximately by assuming that the velocity dependence of heat capacity in both turbulent and laminar regions could be expressed as second order polynomials. The coefficients of the polynomials were determined for conditions at the wall, at the laminar sublayer boundary, and at the boundary layer surface by using equations of energy and motion. From here on the problem was approached as in the case of an incompressible flow, deriving an equation relating shear at the wall with the boundary layer thickness. Using von Karmans integral relation, a second differential equation was obtained, relating shear to the x-coordinate. The relationship between velocity and heat capacity is derived by introducing Croccos variables. Author

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#