A two-parameter method for eN transition prediction

Abstract

A correction to the e N method for transition prediction, that at present is in use at Delft University, is developed and tested. The existing method is based on solutions of the Falkner-Skan similar boundary layer equation without suction or blowing. The correction is based on additional solutions of this equation with suction and blowing. For the development of the method an Orr-Sommerfeld solver is used for the calculation of the stability diagrams for several series of Falkner-Skan flows with suction or blowing for fixed shape factor (H). This results in differences in the velocity profile curvature near the wall. A correction based on only one additional parameter has been devised using these results. A comparison between the corrected e N method and direct stability calculations for several non-similar flows with and without suction shows good agreement.

Laminar wing design: A framework for transition delay using linear stability theory and adjoint optimization

“…Since the 2000s also three-dimensional geometries are analyzed and automatic transition prediction in CFD codes using e N -methods started to be used [147,148,145,149,146,73,30,113,130,71,133,76,129].…”