Acoustic scattering by a rigid elliptic cylinder in a slightly viscous medium
A complete solution is obtained for the two-dimensional diffraction of a time-harmonic acoustic plane wave by an impenetrable elliptic cylinder in a viscous fluid. Arbitrary size, ellipticity, and angle of incidence are considered. The linearized equations of viscous flow are used to write down expr...
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| Veröffentlicht in: | The Journal of the Acoustical Society of America 2007-06, Vol.121 (6), p.3300-3310 |
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| container_title | The Journal of the Acoustical Society of America |
| container_volume | 121 |
| creator | Scharstein, Robert W. Davis, Anthony M. J. |
| description | A complete solution is obtained for the two-dimensional diffraction of a time-harmonic acoustic plane wave by an impenetrable elliptic cylinder in a viscous fluid. Arbitrary size, ellipticity, and angle of incidence are considered. The linearized equations of viscous flow are used to write down expressions for the dilatation and vorticity in terms of products of radially and angular dependent Mathieu functions. The no-slip condition on the rigid boundary then determines the coefficients. The resulting computations are facilitated by recently developed library routines for complex input parameters. The solution for the circular cylinder serves as a guide and a differently constructed solution for the strip is also given. Typical results in the "resonant" range of dimensionless wave number, displaying the surface vorticity and the far-field scattering pattern are included, with the latter allowing comparison with the inviscid case. |
| doi_str_mv | 10.1121/1.2727332 |
| format | Article |
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| ispartof | The Journal of the Acoustical Society of America, 2007-06, Vol.121 (6), p.3300-3310 |
| issn | 0001-4966 1520-8524 |
| language | eng |
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| source | MEDLINE; AIP Journals Complete; AIP Acoustical Society of America |
| subjects | Acoustics Exact sciences and technology Fundamental areas of phenomenology (including applications) Mathematics Models, Theoretical Physics Sound Viscosity |
| title | Acoustic scattering by a rigid elliptic cylinder in a slightly viscous medium |
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