Abstract
The development of disturbances in a boundary layer that have been induced by an external acoustic field are investigated. The problem is considered in the linear formulation. It is shown that the oscillations inside the supersonic boundary layer can have several times the intensity of the external disturbances. The susceptibility of the boundary layer to the acoustic disturbances increases with increasing Mach number. Cooling of the surface leads to a small decrease in the intensity of the longitudinal velocity oscillations in the layer. The effect of the parameters of the acoustic wave is considered, i.e., the effect of the frequency and phase velocity on the development of the disturbances.
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Literature cited
G. B. Schubauer and H. K. Skramstad, “Laminar boundary-layer oscillations and stability of laminar flow,” J. Aeronaut. Sci.,14, No. 2 (1947).
H. L. Rogler and E. Reshotko, “Disturbances in a boundary layer introduced by a flow intensity array of vortices,” SIAM J. Appl. Math.,2, No. 2 (1957).
M. V. Markovin, “On transition experiments at moderate supersonic speeds,” J. Aeronaut. Sci.,24, No. 7 (1957).
S. R. Pate and C. J. Schueler, “Radiated aerodynamic noise effects on boundary-layer transition in supersonic and hypersonic wind tunnels,” AIAA J.,7, No, 3 (1969).
L. M. Mack, “On the application of linear stability theory and the problem of supersonic boundary-layer transition,” AIAA J.,13, No. 3 (1975).
C. C. Lin, Hydrodynamic Stability, Cambridge University Press (1955).
L. Lees and E. Reshotko, “Stability of the compressible laminar boundary layer,” J. Fluid Mech.,12, Pt. 4 (1962).
R. Betchov and W. O. Criminale, Stability of Parallel Flows, Academic Press (1967).
H. S. Ribner, “Reflection, transmission, and amplification of sound by a moving medium,” J. Acoust. Soc. Am.,29, No. 4 (1957).
L. M. Mack, “Computation of the stability of the laminar compressible boundary layer,” in: Methods in Computational Physics, New York, Vol. 4.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 51–56, November–December, 1977.
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Gaponov, S.A. Interaction between a supersonic boundary layer and acoustic disturbances. Fluid Dyn 12, 858–862 (1977). https://doi.org/10.1007/BF01090319
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DOI: https://doi.org/10.1007/BF01090319