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- W2044763912 abstract "The presence of viscosity leads to boundary conditions on tangential, as well as normal, velocity components. If a wave is incident on a surface whose impedance varies discontinuously, ideal fluid theory predicts that the surface velocity also is discontinuous, which leads to the possibility that large shear stresses and an associated vortical velocity component are generated. The present study considers incidence of a temporally harmonic plane wave on an infinite cylinder whose surface is coated by four regions of alternating high and low impedance. A Helmholtz resolution of the particle velocity transforms the Navier–Stokes equations to a lossy Helmholtz equation for the acoustic pressure and a diffusion equation for the vorticity. The general solution for the scattered field is obtained by representing the azimuthal dependence in a Fourier series, whose coefficients are determined by satisfying the boundary conditions. When the surface properties are uniform, orthogonality conditions make it evident that the vortical effect is only significant in a very thin boundary layer. The discontinuous impedance case is solved by a collocation method. Although the corresponding equations suggest that viscosity might become increasingly important with increasing azimuthal harmonic number, the computed results show that the effect is negligible for realistic Reynolds numbers." @default.
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- W2044763912 date "1991-10-01" @default.
- W2044763912 modified "2023-09-26" @default.
- W2044763912 title "On the influence of vorticity in acoustic scattering from cylinders with discontinuous surface impedance." @default.
- W2044763912 doi "https://doi.org/10.1121/1.402393" @default.
- W2044763912 hasPublicationYear "1991" @default.
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