title: Acoustic diffraction by a half-plane in a viscous fluid medium.
abstract: We consider the diffraction of a time-harmonic acoustic plane wave by a rigid half-plane in a viscous fluid medium. The linearized equations of viscous fluid flow and the no-slip condition on the half-plane are used to derive a pair of disjoint Wiener-Hopf equations for the fluid stresses and velocities. The Wiener-Hopf equations are solved in conjunction with a requirement that the stresses are integrable near the edge of the half-plane. Specific wave components of the scattered velocity field are given analytically. A Padé approximation to the Wiener-Hopf kernel function is used to derive numerical results that show the effect of viscosity on the velocity field in the immediate vicinity of the edge of the half-plane.
authors.affiliation: Mathematics Department, University of Alabama, Tuscaloosa 35487-0350, USA.
authors.forename: Anthony M J
authors.initials: AM
authors.lastname: Davis
authors.forename: Raymond J
authors.initials: RJ
authors.lastname: Nagem