Jet Surface Interaction – Scrubbing Noise in a Transversely Sheared Mean Flow

Abstract

Generation of sound due to scrubbing of a jet flow past a nearby solid surface is investigated within the framework of the generalized acoustic analogy theory. The analysis applies to the boundary layer noise generated at and near a wall, and excludes the scattered noise component that is produced at the leading or the trailing edge. While compressibility effects are relatively unimportant at very low Mach numbers, frictional heat generation and thermal gradient normal to the surface could play important roles in generation and propagation of sound in high speed jets of practical interest. A general expression is given for the spectral density of the far field sound as governed by the variable density Pridmore-Brown equation. The propagation Green's function is solved numerically starting with the boundary conditions on the surface and subject to specified mean velocity and temperature profiles between the surface and the observer. It is shown the magnitude of the Green's function decreases with increasing source frequency or jet temperature. The phase remains constant for a rigid surface, but varies with source location when subject to an impedance type boundary condition. The equivalent sources of aerodynamic sound are associated with non-linear momentum flux and enthalpy flux terms that appear in a linear set of equations that govern the fluctuating components of the motion. These multi-pole sources are usually modeled and evaluated with input from a Reynolds-Averaged Navier-Stokes (RANS) solver with an appropriate turbulence model.