caa a22 4500 467910553 CHVBK 20180406152848.0 cr unu---uuuuu 170328e20060201xx s 000 0 eng 10.1007/s11232-006-0024-6 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0024-6 Martynov G. Institute for Physical Chemistry, RAS, Moscow, Russia aut General Theory of Acoustic Wave Propagation in Liquids and Gases [Elektronische Daten] [G. Martynov] We study the propagation of small-amplitude acoustic waves in liquids and gases and use the hydrodynamic equations to obtain an exact dispersion equation. This equation in dimensionless variables contains only two material constants p and q. We solve the dispersion equation, obtaining an exact solution that holds for all values of the parameters and all frequencies up to hypersonic, and thus analytically establish exactly how the speed of sound c, the wave vector k, and the damping factor x depend on the frequency ω and the dimensionless material constants p and q. Studying the behavior of the solution in the sonic and ultrasonic frequency bands for ω < 107 sec-1 results in an expression for the damping factor, which differs from the Kirchhoff formula. The speed of sound c and the wave vector k are shown to have finite nonzero values for all hypersonic frequencies. At the same time, there exists a certain maximum frequency value, ωmax ≈ 1011-1012 sec-1, at which the damping factor x is zero. This frequency determines the boundary of the applicability domain for the hydrodynamic equations. Springer Science+Business Media, Inc., 2006 hydrodynamics nationallicence sound nationallicence dispersion equation nationallicence relaxation theory nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/2(2006-02-01), 285-294 0040-5779 146:2<285 2006 146 11232 https://doi.org/10.1007/s11232-006-0024-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0024-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Martynov G. Institute for Physical Chemistry, RAS, Moscow, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/2(2006-02-01), 285-294 0040-5779 146:2<285 2006 146 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer