Interaction of oblique instability waves with weak streamwise vortices
Abstract
This paper is concerned with the effect of a weak spanwisevariable meanflow distortion on the growth of oblique instability waves in a Blasius boundary layer. The streamwise component of the distortion velocity initially grows linearly with increasing streamwise distance, reaches a maximum, and eventually decays through the action of viscosity. This decay occurs slowly and allows the distortion to destabilize the Blasius flow over a relatively large streamwise region. It is shown that even relatively weak distortions can cause certain oblique Rayleigh instability waves to grow much faster than the usual twodimensional TollmienSchlichting waves that would be the dominant instability modes in the absence of the distortion. The oblique instability waves can then become large enough to interact nonlinearly within a common critical layer. It is shown that the resulting nonlinearity is weak and that the common amplitude of the interacting oblique waves is governed by the amplitude evolution equation derived in Goldstein & Choi (1989). The implications of these results for Klebanofftype transition are discussed.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 May 1994
 Bibcode:
 1994STIN...9433432G
 Keywords:

 Blasius Flow;
 Boundary Layer Transition;
 Flow Stability;
 Turbulent Flow;
 Vortices;
 Wave Interaction;
 Reynolds Number;
 Viscosity;
 Fluid Mechanics and Heat Transfer