AUTHORS : S. A. Gaponov, A. N. Semenov

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ABSTRACT : In the paper on the basis of the direct numerical simulation the supersonic flow around of the infinitely thin plate which was perturbed by the acoustic wave was investigated. Calculations carried out in the case of small perturbations at the Mach number M=2 and Reynold’s numbers Re<600. Two types of acoustic waves were investigated: sliding (φ=0), two dimensional incident waves (χ=0). It is established that the velocity perturbation amplitude within the boundary layer is greater than the amplitude of the external acoustic wave in several times. At the small sliding and incidence angles the velocity perturbations amplitude increased monotonously with Reynold’s numbers. At rather great values of these angles there are maxima in dependences of the velocity perturbations amplitude on the Reynold’s number. At the fixed Reynolds's number and frequency there are critical values of the sliding and incidence angles at which the disturbances excited by a sound wave are maxima. The oscillations exaltation in the boundary layer by the sound wave more efficiently if the plate is irradiated from above.

KEYWORDS : supersonic boundary layer, establishing method, acoustic waves, interaction, receptivity, numerical simulations

REFERENCES : [1]. M.V. Morkovin, On transition experiments at moderate supersonic speeds, J. Aeronaut. Sci., Vol.24, 1957, pp. 480-486.

[2] S.A. Gaponov, A.A. Maslov, Development of Disturbances in Compressible Flow, Nauka, 1980 (in Russian).

[3] L.M. Mack, Linear stability theory and the problem of supersonic boundary layer transition, AlAA Journal, Vol.13, 1975, pp. 278-289.

[4] S.A. Gaponov, Interaction between a supersonic boundary layer and acoustic disturbances, Fluid Dynamics, Vol.12, No6, 1977, pp. 858-862.

[5] S.A. Gaponov, V.A. Lebiga, A.A. Maslov, V.G. Pridanov, Development of disturbances caused by external sound field in a supersonic boundary layer, IXth Allunion Acoustic Conf., Acoustic Institute, 1977, pp. 49-52 (in Russian).

[6] A.V. Dovgal , Yu.S. Kachanov, V.V. Kozlov, V.Ya. Levchenko, V.P. Maksimov, Generation of perturbations in a boundary layer, in: Development of Perturbations in a Boundary Layer, ITAM SB AS USSA, 1979, pp. 4–22, (in Russian)

[7] V.P. Maksimov, Generation of TollmienSchlichting waves in oscillating boundary layers, in: Development of Perturbations in a Boundary Layer, ITAM SB AS USSA, 1979, pp. 68–75 (in Russian)

[8] H.P.Ho Chih-Ming, Perturbed free shear layers, Ann. Rev. Fluid Mech., Vol.16, 1984, pp. 365- 424.

[9] C.K.W. Tam, D.E. Burton, Sound generated by instability waves of supersonic flows. 1. Two-dimensional mixing layers, J. Fluid. Mech., Vol.138, 1984, pp. 249-273.

[10] S.A. Gaponov, Excitation by sound of Tollmien-Schlichting waves in a supersonic boundary layer, Fluid Dynamics, Vol.18, No3, 1983, pp. 384-390.

[11] A.A. Maslov and Semionov N.V., Excitation of natural oscillations in a boundary layer by an external acoustic field, Fluid Dynamics, Vol.21, No3, 1986, pp. 400-404.

[12] S.A. Gaponov, Excitation of instability waves in the supersonic boundary layer by sound, In: Nonlinear Instability of Nonparallel Flows, Springer-Verlag, 1994, pp. 207-212.

[13] A.A. Maslov, N.V. Semionov, Generation of acoustic oscillations by a supersonic boundary layer, Izv. SO AN SSSR. Ser. Tech. Nauk, No7, 1987, pp. 58-63 (in Russian).

[14] S.A. Gaponov, Aeroacoustics of supersonic boundary layers, International Journal of Aeroacoustics, Vol.13, No.1-2, 2014, pp. 85- 111.

[15] Y.Ma and X. Zhong, Receptivity of a supersonic boundary layer over a flat plate. Part 2. Receptivity to free-stream sound, J. Fluid. Mech., Vol.488, 2003, pp. 79—121.

[16] I. V. Egorov, V. G. Sudakov and A. V. Fedorov,. Numerical modeling of the receptivity of a supersonic boundary layer to acoustic disturbances, Fluid Dynamics, Vol.41, No1, 2006, pp.37-48.

[17] M. R. Malik and P. Balakumar, Receptivity of supersonic boundary layers to acoustic disturbances, AIAA Paper 2005-5027, 2005.

[18] A. N. Kudryavtsev, S. G. Mironov, T. V. Poplavskaya, and I. S. Tsyryul’nikov, Experimental study and direct numerical simulation of the evolution of disturbances in a viscous shock layer on a flat plate, Journal of Applied Mechanics and Technical Physics, Vol.47, No5, 2006, pp. 617–627.

[19] P. Balakumar, Transition in a supersonic boundary layer due to acoustic disturbances, AIAA Paper 2005-0096, 2005.

[20] H. Schlichting, Boundary-layer theory, New York, McGraw-Hill, 1968

WSEAS Transactions on Acoustics and Music, ISSN / E-ISSN: 1109-9577 / , Volume 4, 2017, Art. #3, pp. 21-26

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