Vp. Reutov et Gv. Rybushkina, SPATIAL EVOLUTION OF CONTINUOUS-MODE PACKETS LOCALLY FORCED IN A BOUNDARY-LAYER FLOW, European journal of mechanics. B, Fluids, 12(4), 1993, pp. 475-492
The excitation of two-dimensional continuous spectrum waves by the loc
al harmonic force in a boundary-layer flow is considered. Analysis is
performed within linearized Navier-Stokes equations for an incompressi
ble parallel flow. An expression for the field of hydrodynamic disturb
ances outside the forcing region is obtained by employing the method o
f normal waves and the Briggs criterion which determines the direction
of the wave spreading. The spatial structure of the continuous spectr
um disturbances excited by a point force which models the effect of a
small vibrating ribbon is determined. It is shown that a convective wa
ve appears in the boundary layer at a considerable distance from the s
ource.