Abstract
Changes in the structure of a transonic flow around a symmetric airfoil and a decrease in the wave drag of the latter, depending on the energy-supply period and on localization and shape of the energy-supply zone, are considered by means of the numerical solution of two-dimensional unsteady equations of gas dynamics. Energy addition to the gas ahead of the closing shock wave in an immediate vicinity of the contour in zones extended along the contour is found to significantly reduce the wave drag of the airfoil. The nature of this decrease in drag is clarified. The existence of a limiting frequency of energy supply is found.
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S. M. Aulchenko, V. P. Zamuraev, and A. F. Latypov, “On possibility to control a transonic streamlining of the airfoil by means of a periodic pulse local energy supply,” in: Proc. of the 5th Int. Workshop on Magneto-Plasma-Aerodynamics in Aerospace Applications (Moscow, April 7–10, 2003), Inst. of High Temp., Russian Acad. of Sci., Moscow (2003), pp. 323–327.
S. M. Aulchenko and V. P. Zamuraev, “Effect of pulsed periodic local energy supply on the structure of the transonic flow around airfoils,” Teplofiz. Aéromekh., 10, No. 2, 197–204 (2003).
S. M. Aulchenko, V. P. Zamuraev, and A. P. Kalinina, “Controlling the transonic flow around airfoils by pulsed periodic local energy supply,” Inzh.-Fiz. Zh., 76, No. 6, 54–57 (2003).
S. M. Aulchenko, V. P. Zamuraev, A. P. Kalinina, and A. F. Latypov, “Controlling transonic flow around airfoils by means of local pulsed addition of energy,” J. Appl. Mech. Tech. Phys., 45, No. 5, 665–669 (2004).
V. P. Zamuraev and A. P. Kalinina, “Effect of localization of pulsed energy addition on the wave drag of an airfoil in a transonic flow,” J. Appl. Mech. Tech. Phys., 46, No. 5, 664–669 (2005).
A. S. Yuriev, S. K. Korzh, S. Yu. Pirogov, et al., “Transonic streamlining of profile at energy addition in local supersonic zone,” in: Proc. of the 3rd Workshop on Magneto-Plasma-Aerodynamics in Aerospace Applications (Moscow, 24–26 April, 2001), Inst. of High Temp., Russian Acad. of Sci., Moscow (2001), pp. 201–207.
S. M. Aulchenko, V. P. Zamuraev, and A. P. Kalinina, “Nonlinear effects of interaction of pulsed periodic energy supply and shock-wave structure in a transonic flow around airfoils,” Pis’ma Zh. Tekh. Fiz., 32, No. 1, 6–11 (2006).
V. I. Artem’ev, V. I. Bergel’son, I. V. Nemchinov, et al., “Global reconstruction of gas-dynamic flows with the use of thin laser beams,” Izv. Akad. Nauk SSSR, Ser. Fiz., 55, No. 6, 1184–1187 (1991).
P. K. Tret’yakov, A. F. Garanin, G. N. Grachev, et al., “Control of a supersonic flow around bodies by means of a powerful pulsed optical discharge,” Dokl. Ross. Akad. Nauk, 351, No. 3, 339–340 (1996)
S. V. Guvernyuk and A. B. Samoilov, “Supersonic flow control with a pulsed thermal source,” Pis’ma Zh. Tekh. Fiz., 23, No. 9, 1–8 (1997).
P. Yu. Georgievsky and V. A. Levin, “Unsteady effects for a supersonic flow past a pulsing energy source of high power,” in: Proc. of the Int. Conf. on the Methods of Aerophysical Research (Novosibirsk, June 29–July 3, 1998), Part 2, Inst. Theor. Appl. Mech., Sib. Div., Russian Acad. of Sci., Novosibirsk (1998), pp. 58–64.
V. A. Levin and L. V. Terent’eva, “Effect of a local energy-release zone on a spatial flow around a cone,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 3, 106-113 (1999).
B. van Leer, “Flux-vector splitting for the Euler equations,” Lect. Notes Phys., 170, 507–512 (1982).
E. Torenbeek, Synthesis of Subsonic Airplane Design, Kluwer Academic Press (1982).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 3, pp. 64–71, May–June, 2006.
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Aulchenko, S.M., Zamuraev, V.P. & Kalinina, A.P. Nonlinear effects caused by pulsed periodic supply of energy in the vicinity of a symmetric airfoil in a transonic flow. J Appl Mech Tech Phys 47, 359–365 (2006). https://doi.org/10.1007/s10808-006-0063-7
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DOI: https://doi.org/10.1007/s10808-006-0063-7