Abstract
A theory is proposed of the production of sound by turbulent boundary layer flow over a rough wall. Attention is confined to the case in which the roughness elements are embedded entirely within the viscous sublayer, and the radiation is determined by estimating the diffraction of the turbulence nearfield by those elements. The principal objective is to ascertain the influence of viscous wall stresses on the diffraction mechanism, the calculations being performed with and without account being taken of the “no slip” condition at the wall. The latter corresponds to a simplified version of the inviscid diffraction theory of Howe [1] in which a sand roughened wall is modeled by a distribution of rigid hemispherical bosses on a rigid plane. It is concluded that, over the whole frequency range in which “roughness noise” is expected to be important, the inviscid diffraction theory underestimates the radiated noise relative to that of the viscous theory by at most 2 or 3 dB.
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