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On long-wave sound scattering by a Rankine vortex: Non-resonant and resonant cases by Victor F. Kopiev; Ivan V. Belyaev is a Engineering article available to read on EtoBox.

What is On long-wave sound scattering by a Rankine vortex: Non-resonant and resonant cases about?

The well-known two-dimensional problem of sound scattering by a Rankine vortex at small Mach number M is considered. Despite its long history, the solutions obtained by many authors still are not free from serious objections. The common approach to the problem consists in the transformation of governing equations to the d'Alembert equation with right-hand part. It was recently shown [I.V. Belyaev, V.F. Kopiev, On the problem formulation of sound scattering by cylindrical vortex, Acoustical Physics 54(5) (2008) 603-614] that due to the slow decay of the mean velocity field at infinity the convective equation with nonuniform coefficients instead of the d'Alembert equation should be considered, and the incident wave should be excited by a point source placed at a large but finite distance from the vortex instead of specifying an incident plane wave (which is not a solution of the governing equations). Here we use the new formulation of Belyaev and Kopiev to obtain the correct solution for the problem of non-resonant sound scattering, to second order in Mach number M. The partial harmonic expansion approach and the method of matched asymptotic expansions are employed. The scattered fie

Who reads On long-wave sound scattering by a Rankine vortex: Non-resonant and resonant cases?

It is typically read by researchers, students, and practitioners in Engineering.

Author
Victor F. Kopiev; Ivan V. Belyaev
Publisher
Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-460X)
Published
2010
Language
EN
Field
Engineering (Physical Sciences)

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