ON THE SCATTERING OF SOUND BY A RECTILINEAR VORTEX
โ Scribed by M.S. HOWE
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 180 KB
- Volume
- 227
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
A re-examination is made of the two-dimensional interaction of a plane, timeharmonic sound wave with a rectilinear vortex of small core diameter at low Mach number. Sakov [1] and Ford and Smith [2] have independently resolved the &&in"nite forward scatter'' paradox encountered in earlier applications of the Born approximation to this problem. The "rst order scattered "eld (Born approximation) has nulls in the forward and back scattering directions, but the interaction of the wave with non-acoustically compact components of the vortex velocity "eld causes wavefront distortion, and the phase of the incident wave to undergo a signi"cant variation across a parabolic domain whose axis extends along the direction of forward scatter from the vortex core. The transmitted wave crests of the incident wave become concave and convex, respectively, on opposite sides of the axis of the parabola, and focusing and defocusing of wave energy produces corresponding increases and decreases in wave amplitude. Wave front curvature decreases with increasing distance from the vortex core, with the result that the wave amplitude and phase are asymptotically equal to the respective values they would have attained in the absence of the vortex. The transverse acoustic dipole generated by translational motion of the vortex at the incident wave acoustic particle velocity, and the interaction of the incident wave with acoustically compact components of the vortex velocity "eld, are responsible for a system of cylindrically spreading, scattered waves outside the parabolic domain.
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