Long-Range Acoustic Scattering by Surface Inhomogeneities Beneath a Turbulent Boundary Layer

Abstract

Low-frequency turbulent boundary layer eddies inject a power P s into the elastic structure over which the boundary layer is formed which generally greatly exceeds the acoustic power P a directly radiated by the eddies (acoustically equivalent to quadrupoles). The power P s remains trapped in the surface and an adjacent fluid layer and propagates in subsonic surface wave modes until it encounters a rib, or edge, or other surface inhomogeneity, from which a power P e is scattered to the far field. While P e is again small compared with P s , it may nonetheless greatly exceed P a , and in that case the dominant acoustic mechanism is associated with the long-range coupling between the quadrupole eddy and the remote inhomogeneity via subsonic surface waves. That interaction, and the acoustic fields produced by it, are examined in detail in this paper for the inhomogeneities represented by a simple line support rib, a simple point support rib, and an edge to a plane elastic plate, either with or without an adjacent rigid baffle, and with a range of edge conditions. Under conditions of “light” fluid loading, the long-range coupling mechanism seems unlikely to be of importance, but at low frequencies and under “heavy” fluid loading it appears that, even for large separations between an eddy and an inhomogeneity, the long-range coupling generates an acoustic field far in excess of that radiated by the same boundary layer turbulence over a homogeneous surface.