AUTHORS: Olga Azarova, Tatiana Lapushkina, Alexander Erofeev, Oleg Kravchenko

Download as PDF

ABSTRACT: The article refers to the field of supersonic flow control via external energy deposition. Passing a strong shock wave (M=5-6) through the region of pre-formed ionization instability in gas discharge plasma has been studied experimentally and numerically. In the experiments the ionization spherical strata have been obtained arising in the gas discharge region due to the development of the ionization instability in air. As a result of the interaction of an initially plane shock wave with the plasma region of ionization instability the formation of new complicated shock-wave configurations was obtained the shape of which changed from smooth to gear. These configurations were shown to acquire an unstable character. Numerical simulations were carried out on the basis of the Euler system of equations with the parameters corresponding to the experimental conditions with the use of the complex conservative difference schemes. The stratified energy source was modelled by a set of thermal layers with varying characteristics. Changes in the physic-chemical properties of the medium were described by varying the adiabatic index. Stratified shock-wave structures consisting of modified wavy shock-wave and contact discontinuities have been obtained as a result of the interaction of the shock wave with the region of ionization instability. Generation of the Richtmyer-Meshkov instabilities has been obtained on the thermal strata in the vicinity of the shock wave front curvatures which confirmed the unstable character of the shock wave front. Comparison of the obtained experimental and numerical shock front evolution showed a good agreement. Results of the study can be used to control of high speed flows and shock-wave configurations, as well as mixing processes

KEYWORDS: Shock wave, glow gas discharge, ionization instability, stratified energy source, RichtmyerMeshkov instability, complex conservative difference scheme

REFERENCES:

[1] D. Knight. Survey of Aerodynamic Drag reduction at high speed by energy deposition, J. Propulsion and Power, Vol.24, No.6, 2008, pp. 1153-1167.

[2] P.Y. Georgievsky, V.A. Levin, Supersonic flow over bodies in the presence of external energy release, Pis’ma v Zhurnal Tekhnicheskoi Fiziki, Vol.14, No.8, 1988, pp. 684-687 (in Russian).

[3] V.I. Artem’ev, V.I. Bergel’son, I.V. Nemchinov, T.I. Orlova, V.A. Smirnov, V.M. Hazins, Changing the regime of supersonic streamlining obstacles via raising the thin channel of low density, Izv. Akad. Nauk SSSR Mekh. Zhidk. Gaza, No.5, 1989, pp. 146-151 (in Russian).

[4] A. Russell, H. Zare-Behtash, and K. Kontis, Joule heating flow control methods for highspeed flows, J. of Electrostatics, No.4, 2016, pp. 1-90.

[5] Yu.F. Kolesnichenko, V.G. Brovkin, O.A. Azarova, V.G. Grudnitsky, V. Lashkov, I. Mashek, Microwave energy release regimes for drag reduction in supersonic flows, Paper AIAA-2002-0353, Proc. 40th AIAA Aerospace Meeting and Exhibit, Reno, USA, January 14- 17, American Institute of Aeronautics and Astronautics, 2002, pp. 1-13.

[6] P.K. Tretyakov, V.M. Fomin, V.I. Yakovlev. New principles of control of aerophysical processes, Research Development, Proc. International Conference on the Methods of Aerophysical Research, Novosibirsk, Russia, 1996, pp. 210-220.

[7] T.A. Lapushkina, A.V. Erofeev, Supersonic flow control via plasma, electric and magnetic impacts, Aerospace Science and Technology, Vol.69, 2017, pp. 313-320.

[8] T.A. Lapushkina, A.V. Erofeev, S.A. Ponyaev, and S.V. Bobashev. Supersonic flow of a nonequilibrium gas-discharge plasma around a body, Tech. Phys., Vol.54, No.6, 2009, pp. 840- 848.

[9] T.A. Lapushkina, A.V. Erofeev, Characteristics of the effect of low-current gas discharge on a strong shock wave, Tech. Phys. Lett., Vol.43, No.3, 2017, pp. 241–243.

[10] T.A. Lapushkina, A.V. Erofeev, O.A. Azarova, O.V. Kravchenko, Motion of a plane shock wave through the region of glow discharge, Tech. Phys., 2018 (to be published).

[11] I. Doroshchenko, I. Znamenskaya, D. Koroteev, T. KuliǦzade, When shock is shocked: Riemann problem dynamics at pulse ionization of a shock wave, Physics of Fluids, Vol.29, No.10, 2017, pp. 1-4.

[12] K. Kourtzanidis, L. Raja, S. Coumar, V. Lago, Numerical simulation of DC glow discharges for shock wave modification, Paper AIAA2016-2157, Proc. 54th AIAA Aerospace Sciences Meeting, AIAA SciTech Forum, San Diego, California, USA, January 4-8, 2016, pp. 1-11.

[13] S. Leonov, C. Carter, A. Houpt, and T. Ombrello, Mitigation of reflected shock wave by streamwise plasma array, Proc. 7th European Conference for Aeronautics and Space Sciences (EUCASS), Milan, Italy, July 3- 6, 2017, pp. 1-11.

[14] Yu. P. Rizer. Physics of gas discharge: Nauka, Moscow, 1987, 592 p. (in Russian).

[15] O.A. Azarova, Complex conservative difference schemes for computing supersonic flows past simple aerodynamic forms, J. Comp. Math. Math. Phys., Vol.55, No.12, 2015, pp. 2025- 2049.

[16] B.P. Rozhdestvenskii, and N.N. Yanenko, Systems of quasi-linear equations: Nauka, Moscow, 1978, 668 p. (in Russian).

[17] O.A. Azarova, Generation of RichtmyerMeshkov and secondary instabilities during the interaction of an energy release with a cylinder shock layer, Aerospace Science and Technology, Vol.42, 2015, pp. 376-383.