Goertler vortex instabilities of incompressible and compressible boundary layers
Abstract
Some aspects of the Goertler vortex instability mechanism were studied using asymptotic and computational methods. The conditions under which Goertler vortices may form in a wall jet velocity field are considered for vortices of high wavenumber. In the linear stability regime, it is shown that this instability can be seen on walls of both concave and convex curvature. The linear stability of Goertler vortices in a compressible boundary layer is considered for vortices of 0(1) wavenumber. The equations of motion for the vortex disturbance are reduced to a system of three coupled partial differential equations. These are solved on a finite difference grid by a marching process to determine the downstream variation of a function representing the energy of the disturbance. The nonlinear development of Goertler vortices in a compressible boundary layer is considered for vortices of asymptotically large wavenumber. It is shown how the same basic structure which occurs in incompressible flow exists. A discussion about some experimental work performed in order to visualize Goertler vortices in a wall jet velocity field on a concave plate is presented.
 Publication:

Ph.D. Thesis
 Pub Date:
 1990
 Bibcode:
 1990PhDT........34W
 Keywords:

 Boundary Layer Stability;
 Compressible Boundary Layer;
 Goertler Instability;
 Incompressible Boundary Layer;
 Velocity Distribution;
 Vortices;
 Wall Jets;
 Asymptotic Methods;
 Equations Of Motion;
 Finite Difference Theory;
 Flow Distribution;
 Incompressible Flow;
 Partial Differential Equations;
 Fluid Mechanics and Heat Transfer