Abstract
Direct numerical simulations of the evolution of disturbances in a viscous shock layer on a flat plate are performed for a free-stream Mach number M ∞ = 21 and Reynolds number Re L = 1.44 · 105. Unsteady Navier-Stokes equations are solved by a high-order shock-capturing scheme. Processes of receptivity and instability development in a shock layer excited by external acoustic waves are considered. Direct numerical simulations are demonstrated to agree well with results obtained by the locally parallel linear stability theory (with allowance for the shock-wave effect) and with experimental measurements in a hypersonic wind tunnel. Mechanisms of conversion of external disturbances to instability waves in a hypersonic shock layer are discussed.
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References
G. V. Petrov, “Stability of a thin viscous layer on a wedge in hypersonic flow of a perfect gas,” in: Laminar-Turbulent Transition, Proc. of the 2nd IUTAM Symp. on Laminar-Turbulent Transition (Novosibirsk, July 9–13, 1984), Springer-Verlag, Berlin (1985), pp. 487–493.
C. L. Chang, M. R. Malik, and M. Y. Hussaini, “Effects of shock on the stability of hypersonic boundary layers,” AIAA Paper No. 90-1448 (1990).
A. A. Maslov, S. G. Mironov, T. V. Poplavskaya, and B. V. Smorodsky, “Stability of a hypersonic shock layer on a flat plate,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 16–23 (2004).
A. A. Maslov, T. V. Poplavskaya, and B. V. Smorodsky, “Stability of a hypersonic shock layer on a flat plate,” Comptes Rendus Mech., 332, No. 11, 875–880 (2004).
I. V. Egorov, V. G. Sudakov, and A. V. Fedorov, “Numerical simulation of propagation of disturbances in a supersonic boundary layer,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 6, 33–44 (2004).
I. V. Egorov, V. G. Sudakov, and A. V. Fedorov, “Numerical simulation of receptivity of a supersonic boundary layer to acoustic disturbances,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 1, 42–53 (2006).
X. Zhong, “Receptivity of hypersonic boundary layers to freestream disturbances,” AIAA Paper No. 2000-0531 (2000).
Y. Ma and X. Zhong, “Numerical simulation of receptivity and stability of nonequilibrium reacting hypersonic boundary layers,” AIAA Paper No. 2001-0892 (2001).
A. N. Kudryavtsev, S. G. Mironov, T. V. Poplavskaya, and I. S. Tsyryulnikov, “Experimental study and direct numerical simulation of the evolution of disturbances in a viscous shock layer on a flat plate,” J. Appl. Mech. Tech. Phys., 47, No. 5, 617–627 (2006).
A. N. Kudryavtsev, A. A. Maslov, S. G. Mironov, et al., “Direct numerical simulation of receptivity of a hypersonic shock layer to natural and artificial disturbances,” Vychisl. Tekhnol., 11, Part 1, 108–115 (2006).
S. G. Mironov and A. A. Maslov, “An experimental study of density waves in hypersonic shock layer on a flat plate,” Phys. Fluids, Ser. A, 12, No. 6, 1544–1553 (2000).
J. F. McKenzie and K. O. Westphal, “Interaction of linear waves with oblique shock waves,” Phys. Fluids, 11, 2350–2362 (1968).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 3, pp. 84–91, May–June, 2007.
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Maslov, A.A., Kudryavtsev, A.N., Mironov, S.G. et al. Numerical simulation of receptivity of a hypersonic boundary layer to acoustic disturbances. J Appl Mech Tech Phys 48, 368–374 (2007). https://doi.org/10.1007/s10808-007-0046-3
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DOI: https://doi.org/10.1007/s10808-007-0046-3