The fully nonlinear development of Goertler vortices in growing boundary layers
Abstract
A combination of asymptotic and numerical methods is used to study the fully nonlinear development of smallwavelength Goertler vortices in a growing boundary layer. It is shown that the vortices spread out across the boundary layer, effectively driving the boundary layer, and that the mean flow adjusts so as to make the largeamplitude vortices locally neutral. In the region where the vortices exist, the mean flow is found to have a squareroot profile, and the vortex velocity field can be written in closed form. The region of vortex activity is shown to ultimately include almost all of the original boundary layer and much of the free stream.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 February 1988
 DOI:
 10.1098/rspa.1988.0021
 Bibcode:
 1988RSPSA.415..421H
 Keywords:

 Boundary Layer Flow;
 Computational Fluid Dynamics;
 Flow Stability;
 Free Boundaries;
 Two Dimensional Boundary Layer;
 Vortices;
 NavierStokes Equation;
 Nonlinear Equations;
 Reynolds Number;
 Wave Functions;
 Fluid Mechanics and Heat Transfer