Calculation of radiation characteristics of shock heated air by Direct Simulation Monte Carlo method

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Abstract

The results of modeling the radiation characteristics of air behind the front of a strong shock wave, performed using the Direct Simulation Monte Carlo method, are presented. The model used takes into account various physical and chemical processes occurring in shock-heated air, including translational-rotational and translational-vibrational energy exchange, kinetics of chemical reactions, excitation of electronic levels of atoms and molecules, as well as emission and absorption processes for a discrete spectrum. As a result of the calculations, timeintegrated spectrograms of the volumetric radiation power of shock-heated air were obtained in absolute units in the range of shock wave velocities from 7.4 to 10.7 km/s at a gas pressure in front of the shock wave front of 0.25 Torr. The calculation data are compared with experimental data obtained on the double-diaphragm shock tube DDST-M of the Institute of Mechanics of Moscow State University.

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About the authors

A. L. Kusov

Institute of Mechanics, Moscow State University

Email: vyl69@mail.ru
Russian Federation, Moscow

N. G. Bykova

Institute of Mechanics, Moscow State University

Email: vyl69@mail.ru
Russian Federation, Moscow

G. Ya. Gerasimov

Institute of Mechanics, Moscow State University

Email: vyl69@mail.ru
Russian Federation, Moscow

P. V. Kozlov

Institute of Mechanics, Moscow State University

Email: vyl69@mail.ru
Russian Federation, Moscow

I. E. Zabelinsky

Institute of Mechanics, Moscow State University

Email: vyl69@mail.ru
Russian Federation, Moscow

V. Yu. Levashov

Institute of Mechanics, Moscow State University

Author for correspondence.
Email: vyl69@mail.ru
Russian Federation, Moscow

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Supplementary files

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2. Fig. 1. Cross section of excitation of the NO molecule by electron impact during the transition X 2Π → D2Σ+: 1 – calculation using formula (1); 2 – calculation using the similarity function method [37]; 3 – experimental data [38].

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3. Fig. 2. Oscillator strengths for molecular band systems: a – NO(ε), b – N2+(1−).

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4. Fig. 3. Calculated integral spectrograms of air radiation at an initial pressure of p0 = 0.25 Torr and shock wave velocities of VSW = 8.9 (a) and 10.7 km/s (b).

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5. Fig. 4. Comparison of the calculated (1) and measured (2) spectrograms of air radiation in the UV/VIS region of the spectrum in the DDST-M shock tube [44] at p0 = 0.25 Torr and VSW = 0.4 km/s.

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6. Fig. 5. Partial contribution of various components to the radiation of shock-heated air in the UV/VIS spectral region at p0 = 0.25 Torr and VSW = 0.4 km/s.

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7. Fig. 6. Comparison of the calculated (1) and measured (2) in the DDST-M shock tube [44] air radiation spectrograms in the VIS/IR spectral region at p0 = 0.25 Torr and VSW = 10.4 km/s.

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8. Fig. 7. Calculated (1) and recorded by the measuring channels HI (2), HII (3) [44] evolution of the radiation of oxygen atoms at a wavelength of λ = 777 nm at p0 = 0.25 Torr and VSW = 8.9 km/s.

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