Abstract
The acoustic wave propagation in a rotating ideal gas with density stratification due to the rotation is considered. To describe the waves propagating normally to the rotation axis, an equation for a scalar quantity that is a function of density is proposed. The frequency dependences of the phase and group velocities of an acoustic-gyroscopic wave are presented. It is shown that the stratification of gas leads to an exponential amplitude decay for an acoustic wave generated near the rotation axis and has no effect on the inertial-gyroscopic wave.
Similar content being viewed by others
References
B. V. Pokrovskii and E. Ya. Yudin, Akust. Zh. 12, 355 (1966) [Sov. Phys. Acoust. 12, 303 (1966)].
D. V. Bazhenov and A. V. Rimskii-Korsakov, in Acoustoaerodynamic Studies (Nauka, Moscow, 1975), pp. 41–45.
M. Kurosaka and J. E. Caruthers, AIAA J. 20, 1148 (1982).
V. A. Khitrik, Akust. Zh. 43, 110 (1997) [Acoust. Phys. 43, 96 (1997)].
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Fluid Mechanics (Nauka, Moscow, 1986; Pergamon, New York, 1987).
L. M. Brekhovskikh and V. V. Goncharov, Introduction to the Mechanics of Continuous Media (Nauka, Moscow, 1982).
P. H. Le Blond and L. A. Mysak, Waves in the Ocean (Elsevier, Amsterdam, 1978; Mir, Moscow, 1981).
H. P. Greenspan, The Theory of Rotating Fluids (Cambridge Univ. Press, Cambridge, 1968; Gidrometeoizdat, Leningrad, 1975).
R. H. J. Grimshaw, L. A. Ostrovsky, V. I. Shrira, and Yu. A. Stepanyants, Surv. Geophys. 19, 289 (1998).
E. E. Gossard and W. H. Hooke, Waves in the Atmosphere (Elsevier, Amsterdam, 1975; Mir, Moscow, 1978).
Handbook of Mathematical Functions, Ed. by M. Abramowitz and I. A. Stegun (Dover, New York, 1971; Nauka, Moscow, 1979).
Author information
Authors and Affiliations
Additional information
__________
Translated from Akusticheski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Zhurnal, Vol. 46, No. 5, 2000, pp. 644–649.
Original Russian Text Copyright © 2000 by Erofeev, Soldatov.
Rights and permissions
About this article
Cite this article
Erofeev, V.I., Soldatov, I.N. Acoustic waves in a rotating ideal gas. Acoust. Phys. 46, 563–568 (2000). https://doi.org/10.1134/1.1310381
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1310381