Radiative forces acting on point sources moving in a stratified fluid

Journal of Experimental and Theoretical Physics - Tập 85 - Trang 276-284 - 1997
V. A. Gorodtsov1, S. N. Reznik1, Yu. A. Stepanyants2
1Institute of Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
2Institute of Applied Physics, Russian Academy of Sciences, Nizhnii Novgorod, Russia

Tóm tắt

Both components of the total radiative force acting on uniformly moving mass sources in a stratified incompressible fluid are calculated. These forces are related to the emission of internal gravity waves. One component of the radiative force is directed opposite to the direction of motion. This is the well-known wave drag force. Different useful representations of this component are derived for several typical point sources (monopole, dipole, and others). The other component, directed perpendicular to the direction of the motion, is calculated for the first time. The results obtained are extended to the case of rotating media, where internal inertial-gravity waves exist.

Tài liệu tham khảo

S. F. Dotsenko, Mor. Gidrofiz. Issled., Sevastopol’, No. 1, 22 (1973).

V. P. Goncharov, V. A. Krasil’nikov, and V. I. Pavlov, Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 12, 1310 (1976).

V. P. Dokuchaev and I. S. Dolina, Izv. Akad. Nauk SSSR 13, 655 (1977).

V. D. Lipovskii, Izv. Vyssh. Uchebn. Zaved., Radiofiz., part 1, 23, 159 (1980); Izv. Vyssh. Uchebn. Zaved., Radiofiz., part 2, 23, 655 (1980).

V. D. Lipovskii, Izv. Akad. Nauk SSSR 17, 1134 (1981).

V. A. Gorodtsov and É. V. Teodorovich, Izv. Akad. Nauk SSSR, Mekh. Zhid. Gaza, No. 2, 77 (1981).

G. I. Grigor’ev, Emission of Internal Gravity Waves by Mass Sources Moving with Variable Acceleration, Preprint No. 164, NIRFI, Gor’kii (1983).

V. A. Gorodtsov and É. V. Teodorovich in N. E. Kochin and the Development of Mechanics [in Russian], Nauka, Moscow (1984), p. 131.

V. A. Borovikov, Yu. V. Vladimirov, and M. Ya. Kel’bert, Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 20, 526 (1984).

I. V. Sturova in Nonlinear Problems of the Theory of Surface and Internal Waves [in Russian], Novosibirsk, Nauka (1985), p. 200.

K. A. Bezhanov, A. T. Onufriev, and A. M. Ter-Krikorov, Izv. Akad. Nauk SSSR, Mekh. Zhid. Gaza, No. 5, 86 (1987).

Yu. A. Stepanyants, I. V. Sturova, and É. V. Teodorovich, Itogi Nauki Tekhniki, Mekh. Zhid. Gaza, VINITI 21, 93 (1987).

Yu. A. Stepanyants and A. L. Fabrikant, Zh. Éksp. Teor. Fiz. 102, 1517 (1992) [Sov. Phys. JETP 75, 818 (1992)].

S. N. Reznik and Yu. I. Troitskaya, Izv. Ross. Akad. Nauk, Fiz. Atmos. Okeana 1, 133 (1996).

L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Pergamon Press, N. Y. [Russian original, Nauka, Moscow, 1984].

M. J. Lighthill, Waves in Fluids, Cambridge University Press, N. Y., 1978 [Russian trans., Mir, Moscow, 1981].