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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2024 Volume 25, Issue 2, Pages 350–358 (Mi cheb1437)

HISTORY OF MATHEMATICS AND APPLICATIONS

Sound radiation of a cylinder streamlined by a stationary flow of an ideal liquid

L. A. Tolokonnikova, S. L. Tolokonnikovb

a Tula State University (Tula)
b Lomonosov Moscow State University (Moscow)

Abstract: In the article the problem of the acoustic radiation of a cylinder streamlined by a stationary flow of an ideal liquid is considered.
It is assumed that the velocity of the incoming flow is significantly lower than the speed of sound. The surface of the spheroid makes harmonic vibrations.
An approximate analytical solution of the problem was obtained with using the speed potential of the oncoming on the body flow and the speed potential of the stationary radiator acoustic field.
Special cases of sound radiation by a cylinder are considered.
The results of numerical calculations of polar diagrams of the acoustic pressure distribution on the surface of a spheroid at different values of the ratio of the flow velocity to the speed of sound and the wave size of the cylinder are presented.

Keywords: acoustic radiation, cylinder, ideal fluid, potential flow.

UDC: 539.3:534.26

Received: 04.04.2024
Accepted: 28.06.2024



© Steklov Math. Inst. of RAS, 2024