An integral method for the turbulent boundary layer with separated flow
Abstract
An approximate, integral method is described for calculating incompressible, twodimensional turbulent boundary layers that involve separation. The method employs the momentum and kinetic energy integral equations, with approximations for the integral parameters derived from assumed velocity profiles. The profiles are described by logarithmic and wake functions, which develop continuously from the attached flow. To limit the magnitude of the backflow in the separated region and result in the limiting case of a free shear layer, the wake function begins at a varying distance from the wall. This distance, as well as the turbulence quantities, are determined from available experimental data. The boundarylayer equations are solved simultaneously with those for the free stream, in finitedifference form, by successive line relaxation. The solution is accomplished by starting at the upstream boundary and iterating over the flow field until convergence is achieved. The calculations are compared with experimental results for a twodimensional diffusing passage.
 Publication:

Turbulent Boundary Layers: Forced, Incompressible, NonReacting
 Pub Date:
 1979
 Bibcode:
 1979tblf.proc...69M
 Keywords:

 Boundary Layer Separation;
 Incompressible Boundary Layer;
 Inviscid Flow;
 Numerical Integration;
 Turbulent Boundary Layer;
 Two Dimensional Boundary Layer;
 Boundary Layer Equations;
 Finite Difference Theory;
 Flow Velocity;
 Integral Equations;
 Shear Layers;
 Fluid Mechanics and Heat Transfer