Some hydrodynamic instabilities of boundary layer flows
Abstract
The breakdown of a laminar flow into a turbulent one is examined. This is investigated for boundary layer flows by employing linear and weakly nonlinear stability theory. Asymptotic methods are used to obtain approximate solutions along with triple deck theory in most cases. The flow induced by a rotation disc is considered. A triple deck structure is known to exist and weakly nonlinear stability theory is used to find asymptotic solutions for stationary 3D modes of stability. The hydrodynamic stability of Blasius flow over a compliant plate is also studied. The results corresponding to the triple deck structure of a Blasius boundary layer are used, as well as linear stability theory, to obtain asymptotic solutions for the wavenumber of the disturbance. The 3D breakdown to a time dependent flow of the Goertler vortex is also considered, as is the weakly nonlinear stability of the 3D attachment line boundary layer is examined. A triple deck structure is appropriate here and the interaction between a 2D and a 3D unstable mode is investigated.
 Publication:

Ph.D. Thesis
 Pub Date:
 July 1988
 Bibcode:
 1988PhDT........42M
 Keywords:

 Boundary Layer Flow;
 Boundary Layer Stability;
 Laminar Flow;
 Turbulent Flow;
 Asymptotic Methods;
 Flow Equations;
 Goertler Instability;
 Nonlinearity;
 Fluid Mechanics and Heat Transfer