Abstract
The Rayleigh law that governs low-frequency sound attenuation due to the scattering by inhomogeneities in a microinhomogeneous medium is generalized to the case of particles moving in a flow or falling under gravity. Corrections to the scattering’s cross section that adjust the Rayleigh law to the case of a potential flow around inhomogeneities are calculated. It is shown that, when microinhomogeneities are moving in a viscous medium, the characteristics of discrete scatterers may considerably deviate from the Rayleigh law. Based on the data on the velocity and size distribution of falling drops of water in air, refinements are proposed for the laws of low-frequency sound scattering by rain.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. A. Isakovich, General Acoustics (Nauka, Moscow, 1973) [in Russian].
V. O. Knudsen et al., J. Acoust. Soc. Am. 20, 849 (1948).
S. Kh. Rozenfel’d, Akust. Zh. 29, 251 (1983) [Sov. Phys. Acoust. 29, 145 (1983)].
F. A. Lyman, J. Sound Vibrat. 51, 219 (1977).
V. I. Tatarskii, Propagation of the Waves in Turbulent Atmosphere (Nauka, Moscow, 1972) [in Russian].
A. M. Davis and R. J. Nagem, J. Acoust. Soc. Am. 119, 2018 (2006).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Hydrodynamics (Nauka, Moscow, 1988; Pergamon, Oxford, 1975).
L. Prandtl and O. G. Tietjens, Fundamentals of Hydro- and Aeromechanics (McGraw-Hill, New York, 1934; Inostr. Liter., Moscow, 1949).
V. N. Alekseev, A. V. Rimskii-Korsakov, and A. G. Semenov, Akust. Zh. 38, 581 (1992) [Sov. Phys. Acoust. 38, 321 (1992)].
V. N. Alekseev and A. G. Semenov, Akust. Zh. 38, 789 (1992) [Sov. Phys. Acoust. 38, 433 (1992)].
V. N. Alekseev and A. G. Semenov, Akust. Zh. 39, 197 (1993) [Acoust. Phys. 39, 105 (1993)].
V. N. Alekseev and A. G. Semenov, Akust. Zh. 41, 876 (1995) [Acoust. Phys. 41, 774 (1995)].
V. N. Alekseev and A. G. Semenov, Akust. Zh. 46, 732 (2000) [Acoust. Phys. 46, 641 (2000)].
F. M. Morse and G. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953; Inostr. Liter., Moscow, 1960).
D. I. Blokhintsev, Acoustics in Moving Inhomogeneous Media (Nauka, Moscow, 1981; Taylor Francis, London, 1998).
M. E. Goldstein, Aeroacoustics (McGraw-Hill, New York, 1976; Mashinostroenie, Moscow, 1981).