Abstract
In many problems, one requires the characteristics of small nonstationary perturbations of the gas-dynamic parameters superimposed on a stationary flow. The problem of the propagation of small longitudinal perturbations in the subsonic part of a nozzle was solved for the first time in [1, 2], and for three-dimensional perturbations in [3]. In the quoted papers, the equations were linearized with respect to a one-dimensional basic flow. At moderate frequencies, the effects of the nonlinearity and two-dimensionality for longitudinal perturbations are small [4]. The experimental investigation of the acoustic impedance at the start of the subsonic part of a nozzle for three-dimensional perturbations [5] confirms the results of the calculations of [3], though for three-dimensional perturbations the description of the main flow by a one-dimensional flow is approximate [6]. In [7], the equations in the conical subsonic part are linearized with respect to the flow in the source. These investigations were aimed primarily at obtaining the values of the acoustic impedance of isentropic irrotational perturbations at the beginning of the subsonic part of the nozzle, i.e., the characteristics needed to investigate the stability of such flows. In the present paper, we study the mechanism of propagation of perturbations in the subsonic and supersonic parts of the nozzle and find the characteristic regimes with allowance for the influence of the entropy and the vorticity of the disturbed flow.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 112–121, January–February, 1981.
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Mel'nikov, D.A., Tutushkin, A.S. Small nonstationary perturbations of the gas flow in a channel with a supersonic nozzle. Fluid Dyn 16, 87–95 (1981). https://doi.org/10.1007/BF01094818
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DOI: https://doi.org/10.1007/BF01094818