Integral method for calculation of three-dimensional turbulent incompressible boundary layers

An integral method using the momentum and entrainment and equations in curvilinear, nonorthogonal coordinates is presented. The three dimensional velocity profile was composed of profiles in the streamwise and crosswise direction. The two parameter profile family of Coles was applied for the streamwise direction which represents the velocity distribution in boundary layers in accelerated and decelerated flows very well. For the cross flow profiles the Mager and Johnston formulation was used. In the method presented the lag entrainment idea was applied to overcome Head's correlation between the entrainment coefficient and a shape parameter, which is only valid for equilibrium boundary layers. Comparison with the experiments of Van den Berg and Elsenaar, Johnston and Vermeulen is shown.