On the generation of TollmienSchlichting waves in the boundary layer of a flat plate by the disturbances in the free stream
Abstract
A model is proposed for the problem of 'receptivity' of the boundary layer of a flat plate to the freestream turbulence. The basic idea is that two harmonic components of the turbulent velocity spectrum may generate TollmienSchlichting waves in the boundary layer through nonlinear interaction. The numerical calculations based on this model show that TollmienSchlichting waves can actually be generated and the amplitudes may have the same order of magnitude as the disturbance amplitude in the free stream, at least for certain ranges of the Reynolds number, wavenumber and frequency.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 October 1987
 DOI:
 10.1098/rspa.1987.0119
 Bibcode:
 1987RSPSA.413..351L
 Keywords:

 Boundary Layer Flow;
 Boundary Layer Stability;
 Computational Fluid Dynamics;
 Flat Plates;
 TollmienSchlichting Waves;
 Harmonics;
 Transition Flow;
 Turbulent Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer