Abstract
The potential of using the Euler equations to numerically simulate the evolution of localized energy deposition zones interacting with a normal shock in quiescent air and in a supersonic channel flow is demonstrated. Simulation results are compared with available experimental data for an optical discharge in quiescent air and with results calculated for a supersonic flow using the Navier-Stokes equations with allowance for real gas effects. The possibility of predicting gasdynamic effects using the T- and q-models of energy deposition for perfect gas is justified. The variation of the gasdynamic structure and flow parameters near an energy deposition zone developing in a quiescent medium and interacting with a normal shock is analyzed in detail for different energy deposition powers.
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References
G. G. Chernyi, in Proceedings of the 9th AIAA Unternational Space Planes and Hypersonic Systems and Technologies Conference and 3rd Weakly Ionized Gases Workshop, Norfolk, 1999, AIAA 99-4819.
A. A. Zheltovodov, “Development of the Studies on Energy Deposition for Application to the Problems of Supersonic Aerodynamics,” RF Preprint No. 10-2002, ITAM SB RAS (Institute of Theoretical and Applied Mechanics of SB RAS, Novosibirsk, 2002).
V. M. Fomin, P. K. Tretyakov, and J.-P. Taran, Aerosp. Sci. Technol., No. 8, 411 (2004).
P. Bletzinger, B. N. Ganguly, D. Van Wue, and A. Garscadden, J. Phys. D: Appl. Phys. 38, R33 (2005).
S. B. Leonov and D. A. Yarantsev, Plasma Sources Sci. Technol. 16, 132 (2007).
D. Knight, J. Propul. Power 24, 1153 (2008).
Yu. P. Raizer, Gas Discharge Physics (Nauka, Moscow, 1980; Springer, Berlin, 1991).
N. A. Bufetov, A. M. Prokhorov, V. B. Fedorov, and V. K. Fomin, Sov. Phys. Dokl. 26, 1066 (1981).
V. Yu. Borzov, V. M. Mikhailov, I. V. Rybka, N. P. Savishchenko, and A. S. Yur’ev, Inzh.-Fiz. Zh. 66, 515 (1994).
V. Svetsov, V. Popova, V. Rybakov, V. Artemiev, and S. Medveduk, Shock Waves, No. 7, 325 (1997).
R. G. Adelgren, G. S. Elliott, D. D. Knight, A. A. Zheltovodov, and T. J. Beutner, in Proceedings of the 39th AIAA Aerospace Sciences Meeting and Exhibition, Reno, Nevada, 2001, AIAA 2001-0885.
H. Yan, R. Adelgren, M. Boguszko, G. Elliott, and D. Knight, AIAA J. 41, 1988 (2003).
V. M. Fomin and V. N. Yakovlev, RF Preprint No. 2-2004, ITAM SB RAS (Institute of Theoretical and Applied Mechanics of SB RAS, Novosibirsk, 2004).
N. Glumac, G. Elliot, and M. Bogushko, AIAA. J. 43, 1984 (2005).
Z. Jiang, K. Takyama, K. P. B. Moosad, O. Onodera, and M. Sun, Shock Waves 8, 337 (1998).
L. I. Sedov, Prikl. Mat. Mekh. 10, 241 (1946).
I. Dors, C. Parigger, and J. Lewis, in Proceedings of the 38th Aerospace Sciences Meeting and Exhibit. Reno, Nevada, 2000, AIAA 2000-0717.
G. E. Teylor, Proc. R. Soc. London 201, 159 (1950).
R. Kandala and G. Candler, AIAA J. 42, 2266 (2004).
D. D. Knight, H. Yan, G. Candler, R. Kandala, A. A. Zheltovodov, and E. A. Pimonov, in Proceedings of the 15th International Conference on MHD Energy Conversion and the 6th International Workshop on Magneto-Plasma Aerodynamics, Moscow, 2005, Vol. 2, pp. 514–524.
H. Yan, D. Knight, R. Kandala, and G. Candler, AIAA J. 45, 1270 (2007).
H. Yan and D. Giatonde, AIAA J. 46, 1424 (2008).
R. G. Adelgern, G. S. Elliott, D. D. Knight, A. A. Zheltovodov, and T. J. Beutner, AIAA J. 43, 256 (2005).
P. Yu. Georgievskii and V. A. Levin, Teplofiz. Vys. Temp. 48, 74 (2010).
V. M. Fomin, P. K. Tret’yakov, and V. N. Zudov, Dokl. Phys. 55, 561 (2010).
E. Schulein, A. A. Zheltovodov, E. A. Pimonov, and M. S. Loginov, Int. J. Aerospace Innov. 2, 165 (2010).
S. M. Aul’chenko, V. P. Zamuraev, and A. P. Kalinina, Tech. Phys. 56, 1552 (2011).
O. Azarova, D. Knight, and Yu. Kolesnichenko, Shock Waves 21, 439 (2011).
B. Einfeldt, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 35, 294 (1988).
B. van Leer, J. Comput. Phys. 32, 115 (1979).
H. Yan, D. Knight, R. Kandala, and G. Candler, in Proceedings of the 2nd AIAA Flow Control Conference, Portland, Oregon, 2004, AIAA 2004-2126.
P. Yu. Georgievsky and V. A. Levin, in Proceedings of the International Conference on the Methods of Aerophysical Research, Novosibirsk, 1996, Part. 3, pp. 67–73.
M. Bogushko and G. Elliott, Exp. Fluids 38, 33 (2005).
A. G. Gaydon and I. R. Hurle, Shock Tube in High Temperature Chemical Physics (Chapman and Hall, London, 1963; Mir, Moscow, 1966).
S. M. Liang, J. L. Hsu, and J. S. Wang, AIAA J. 39, 1152 (2001).
S. M. Liang, J. S. Wang, and H. Chen, Shock Waves 12, 59 (2002).
R. G. Adelgren, “Localized Flow Control with Energy Deposition” Ph. D Theses, State University of New Jersey-New Brunswick, Rutgers, 2002.
A. F. Aleksandov, N. G. Vidyakin, V. A. Lakutin, M. G. Skvortsov, I. B. Timofeev, and V. A. Chernikov, Sov. Phys. Tech. Phys. 31, 468 (1986).
V. A. Andrushchenko and L. A. Chudov, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, 96 (1988).
V. A. Voinovich, A. L. Zhmakin, and A. A. Fursenko, Sov. Phys. Tech. Phys. 33, 748 (1988).
P. Yu. Georgievskii and V. A. Levin, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 174 (1993).
Mechanics in the USSR for the Last 50 Years, Vol. 2: Mechanics of Liquid and Gases, Ed. by L. I. Sedov, Ya. B. Zel’dovich, A. Yu. Ishlinskii, M. A. Lavrent’ev, G. K. Mikhailov, N. I. Muskhelishvili, and G. G. Chernyi (Nauka, Moscow, 1970), p. 310.
B. N. Gordeichik and I. V. Nemchinov, Available from VINITI, No. 2529-84 (Moscow, 1984).
V. I. Artem’ev, V. I. Bergel’son, A. A. Kalmykov, I. V. Nemchinov, T. I. Orlova, V. A. Rybakov, V. A. Smirnov, and V. M. Khazins, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 158 (1988).
P. Yu. Georgievskii, V. A. Levin, and O. G. Sutyrin, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 126 (2010).
J. H. J. Niederhaus, J. A. Greenough, J. G. Oakley, D. Ranjan, M. H. Anderson, and R. A. Bonazza, J. Fluid. Mech. 594, 85 (2008).
P. Yu. Georgievskii, V. A. Levin, and O. G. Sutyrin, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 6, 146 (2011).
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Original Russian Text © A.A. Zheltovodov, E.A. Pimonov, 2013, published in Zhurnal Tekhnicheskoi Fiziki, 2013, Vol. 83, No. 2, pp. 21–35.
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Zheltovodov, A.A., Pimonov, E.A. Numerical simulation of an energy deposition zone in quiescent air and in a supersonic flow under the conditions of interaction with a normal shock. Tech. Phys. 58, 170–184 (2013). https://doi.org/10.1134/S1063784213020278
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DOI: https://doi.org/10.1134/S1063784213020278