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Acoustic radiation frequency of a cylindrical vortex

T.A. Petrova, F.V. Shugaev

Moscow University Physics Bulletin 2015. 70. N 4. P. 245

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Annotation

Acoustic radiation frequency of a cylindrical vortex in the air has been calculated. Calculations are based on the NavierStokes equations using the expansion of the functions in powers of small parameter char acterizing the initial vorticity. Nonuniform system of parabolic differential equations with constant coefficients is obtained. The initial radius of the cylinder varies over a wide range. The problem is considered for the case of plane flow. In contrast to previously results, it is shown that at small values of vorticity, the frequency of the acoustic radiation depends only on the geometric size (the initial radius of the vortex).

Received: 2014 November 18
Approved: 2015 August 28
PACS:
47.10.ad Navier-Stokes equations
Authors
T.A. Petrova, F.V. Shugaev
Department of Physics, Moscow State University. Moscow 119991, Russia
Issue 4, 2015

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