Subharmonic route to boundarylayer transition  Critical layer nonlinearity
Abstract
The linear and nonlinear dynamics of a triad of initially linear stability waves comprising a single plane wave at fundamental frequency and two symmetric oblique waves with half the frequency and streamwise wave number of the plane wave are presented. Analysis is performed for the initial nonlinear development of the waves where the order of the oblique waves' amplitude is equal to or less than that of the plane wave. Results show that the fundamental basically follows the linear theory, while the subharmonic follows an exponentialofanexponential growth.
 Publication:

Forum on Turbulent Flows  1991
 Pub Date:
 1991
 Bibcode:
 1991ftf..proc...75M
 Keywords:

 Boundary Layer Transition;
 Nonlinear Evolution Equations;
 Viscous Flow;
 Wave Propagation;
 NavierStokes Equation;
 Wave Interaction;
 Fluid Mechanics and Heat Transfer