Abstract
The interaction of supersonic jets with external acoustic waves is investigated in connection with the emission of sound of discrete frequency by the jets. A plausible physical scheme explaining the appearance and maintenance of the oscillations of supersonic jets with discrete frequency was proposed in [1]. A model problem of the effect of pressure perturbations of a given frequency, traveling along the surface of a two-dimensional jet is also investigated there. The results of the solution of this problem (in particular, the presence of critical frequencies at which the perturbations in the jet grow indefinitely in the direction of motion of the flow) substantiate the hypothesis that by virtue of its periodic (cellular) structure a supersonic jet has the properties of a resonator. In [1] the more general problem of interaction of a supersonic jet with an external acoustic field is also formulated, which is in complete correspondence with the physical scheme of the phenomena developed in that article. In the present work this problem is solved in its complete form for plane and cylindrical jets for symmetric and antisymmetric perturbations in an external acoustic field, and also in the presence of subsonic accompanying flow in the outer medium.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
M. G. Lebedev and G. F. Telenin, “Investigation of the interaction of a supersonic jet with acoustic waves,” Izv. Akad. Nauk. SSSR, Mekhan. Zhidk. Gaza, No. 4 (1970).
B. Noble, Wiener-Hopf Technique for Solving Partial Differential Equations [Russian translation], from English IL, Moscow (1953).
L. Collatz, Functional Analysis and Numerical Mathematics, Academic (1966).
V. M. Anufriev, V. V. Komarov, V. M. Kuptsov, D. A. Mel'nikov, and A. A. Sergienko, “Discrete component in the noise spectrum of supersonic jets,” Izv. Akad. Nauk SSSR, Mekhan. Zhid. i Gaza, No. 5 (1969).
V. M. Mamin and A. V. Rimskii-Korsakov, “Supersonic air jet as source of sound,” in: Physics of Aerodynamic Noises [in Russian], Nauka, Moscow (1967).
A. Powell, “On the noise emanating from a two-dimensional jet above the critical pressure,” Aeronaut. Quart.,4, No. 2 (1953).
M. Merle, “Emission of sound associated with supersonic air jets,” J. Mécanique,4, No. 3 (1965).
A. G. Hammitt, “The oscillation and noise of an overpressure sonic jet,” J. Aerospace Sci.,28, No. 9 (1961).
L. J. Poldervaart, A. T. Vink, and A. P. J. Wijnands, “The photographic evidence of the feedback loop of a two-dimensional screeching jet of air,” The Sixth Intern. Congress on Acoustics, Vol. 4, Tokyo (1968).
W. L. Laffiter and H. H. Hubbard, “The near noise field of static jets and some model devices for noise reduction,” Nat. Adv. Comm. Aeronaut. Rept., No. 1261 (1956).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 105–113, March–April 1974.
Rights and permissions
About this article
Cite this article
Lebedev, M.G., Telenin, G.F. Ultrasonic jet in an external acoustic field. Fluid Dyn 9, 250–257 (1974). https://doi.org/10.1007/BF01092658
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01092658