Abstract
A method of simulation and results of numerical calculation of the evolution of hydrodynamic disturbances in a supersonic boundary layer on a flat plate under the influence of external acoustic waves at Reynolds numbersRe=220–640 and Mach numberM=2 are described. The solution is constructed by the method of expansion with respect to the small parameter; the contribution of linear and quadratic terms to the solution is taken into account. The method developed allows one to estimate the admissible level of the acoustic field, which does not affect the development of eigen-oscillations in the boundary layer.
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References
S. A. Gaponov, “Mathematical simulation of disturbance development in compressible near-wall flows”,Thermophys. Aeromech.,1, No. 1, 75–88 (1994).
S. A. Gaponov, “Excitation of Tollmien-Schlichting waves by sound in a supersonic boundary layer”,Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No.3, 59–64 (1983).
A. D. Kosinov, N. V. Semionov, S. G. Shevelkov, and O. I. Zinin, “Experiments on the nonlinear instability of supersonic boundary layers”, in: D. T. Valentine, S. P. Lin, and W. R. C. Philips (eds.),Nonlinear Instability of Nonparallel Flows, Springer-Verlag, Berlin (1994), pp. 196–205.
S. A. Gaponov and I. I. Maslennikova, “Subharmonic instability of a supersonic boundary layer”,Teplofiz. Aeromekh.,4, No. 1, 1–10 (1997).
V. A. Lebiga, A. A. Maslov, and V. G. Pridanov. “Experimental investigation of the stability of supersonic boundary layer of a flat insulated plate”,Arch. Mech.,31, No.3, 397–405 (1979).
S. A. Gaponov and A. A. Maslov,Development of Disturbances in Compressible Flows [in Russian]. Nauka, Novosibirsk (1980).
A. D. Kosinov, A. A. Maslov, and S. G. Shevelkov, “Experiments on the stability of supersonic laminarboundary layers”,J. Fluid Mech.,219, 621–623 (1990).
S. A. Gaponov and B. V. Smorodsky, “Supersonic boundary layer interaction with streamwise acoustics”, in:Proc. Int. Conf. Methods Aerophys. Res.., Part 2, Novosibirsk (1996), pp. 70–75.
V. A. Lebiga, “Characteristics of oscillations in the test section of a supersonic wind tunnel”, in:Instability of Subsonic and Supersonic Flows [in Russian], Inst. Theor. Appl. Mech., Sib. Div., Russian Acad. of Sci., Novosibirsk (1982).
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Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 5, pp. 99–105, September–October, 1999.
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Gaponov, S.A., Maslennikova, I.I. & Tyushin, V.Y. Nonlinear effect of external low-frequency acoustics on eigen-oscillations in a supersonic boundary layer. J Appl Mech Tech Phys 40, 865–870 (1999). https://doi.org/10.1007/BF02468470
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DOI: https://doi.org/10.1007/BF02468470