Abstract
A numerical and experimental study of receptivity of the viscous shock layer on a flat plate aligned at an angle of attack to external acoustic perturbations is performed. Density and pressure fluctuations are measured in experiments at the free-stream Mach number M ∞ = 21 and Reynolds number Re 1 = 6·10 5 m −1. Direct numerical simulations of receptivity of the viscous shock layer to external acoustic perturbations in wide ranges of the governing parameters are performed by solving the Navier-Stokes equations with the use of high-order shock-capturing schemes. The calculated intensities of density and pressure fluctuations are found to be in good agreement with experimental data. Results of the study show that entropy-vortex disturbances dominate in the shock layer at small angles of attack, whereas acoustic perturbations prevail at angles of attack above 20°.
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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. A. Maslov, A. N. Kudryavtsev, S. G. Mironov, et al., “Numerical simulation of receptivity of a hypersonic boundary layer to acoustic disturbances,” J. Appl. Mech. Tech. Phys., 48, No. 3, 368–374 (2007).
A. A. Maslov, A. N. Kudryavtsev, S. G. Mironov, et al., “Control of disturbances in a hypersonic shock layer on a flat plate by an unsteady action from the surface,” Izv. Ross. Akad. Nauk, No. 3, 152–161 (2008).
J. F. McKenzie and K. O. Westphal, “Interaction of linear waves with oblique shock waves,” Phys. Fluids, 11, 2350–2362 (1968).
S. G. Mironov and A. A. Maslov, “An experimental study of density waves in hypersonic shock layer on a flat plate,” Phys. Fluids, 12, No. 6, 1544–1553 (2000).
W. D. Hayes and R. F. Probstein, Hypersonic Flow Theory, Academic Press, New York (1959).
S. A. Gaponov and A. A. Maslov, Development of Disturbances in Compressible Flows [in Russian], Nauka, Novosibirsk (1980).
A. N. Kudryavtsev, T. V. Poplavskaya, and D. V. Khotyanovskii, “Application of high-order schemes in modeling unsteady supersonic flows,” Mat. Model., 19, No. 7, 39–55 (2007).
X. Zhong, “Receptivity of hypersonic boundary layers to freestream disturbances,” AIAA Paper No. 2000-0531 (2000).
I. V. Egorov, V. G. Soudakov, 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).
I. V. Egorov, A. V. Fedorov, and V. G. Soudakov, “Receptivity of a hypersonic boundary layer over a flat plate with a porous coating,” J. Fluid Mech., 601, 165–187 (2008).
L. M. Mack, “Linear stability theory and the problem of supersonic boundary-layer transition,” AIAA J., 13, No. 3, 278–289 (1975).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 51, No. 4, pp. 39–47, July–August, 2010.
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Maslov, A.A., Mironov, S.G., Poplavskaya, T.V. et al. Wave processes in the shock layer on a flat plate at an angle of attack. J Appl Mech Tech Phy 51, 482–488 (2010). https://doi.org/10.1007/s10808-010-0064-4
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DOI: https://doi.org/10.1007/s10808-010-0064-4