**Nikiforov**

Vladimir O.

D.Sc., Prof.

Vladimir O.

D.Sc., Prof.

DOI: 10.17586/2226-1494-2016-16-5-903-916

DOI: 10.17586/2226-1494-2016-16-5-903-916

# COMPARATIVE ANALYSIS OF PLASMA-CHEMICAL MODELS FOR COMPUTER SIMULATION OF GLOW DISCHARGES IN AIR MIXTURES

**Read the full article**';

**Article in**Russian

**For citation:**Tchernycheva M.V., Chirtsov A.S., Shvager D.A. Comparative analysis of plasma-chemical models for computer simulation of glow discharges in air mixtures.

*Scientific and Technical Journal of Information Technologies, Mechanics and Optics*, 2016, vol. 16, no. 5, pp. 903–916. doi: 10.17586/2226-1494-2016-16-5-903-916

**Abstract**

**Subject of Research.** We present research results for numerical modeling possibility of discharges in gas mixtures within the modern model of nonlocal plasma by creation a sequence of plasma-chemical and numerical models and comparing the results with experimental data. **Method. **Creation method for series of models with gradually increasing complexity has been used. It is based on a step by step expansion of the range accounted for elementary processes in nonlocal glow discharge plasma in the air. The air is approximated by the mixture of nitrogen and oxygen at low pressures under conditions suitable for experimental verification. For each iteration of plasma chemical scheme, corresponding numerical models of gas-discharge were created. The graphs of the discharge gap electrical parameters on the pressure were obtained by this method. Theoretical data obtained at each step have been compared to the experimental data and the results of previous computer models. **Main Results. **The model has been created that provides a good agreement with the experimentally obtained dependencies of the voltage drop across the discharge gap on the gas pressure in the areas of normal and abnormal glow discharge. By the updated model the optimum value for the coefficient of secondary electron emission from the cathode was chosen. Additionally, we have obtained the spatial distribution of the internal parameters of nonlocal plasma (longitudinal and transverse profiles of the electric potential, electron and ion densities, the electron temperature) as a subject to further experimental verification. **Practical Relevance.** The created models are perspective to be used for diagnosis and the setting of parameters of micro-discharges in the air. They have different applications, including developing method of electronic collision spectroscopy (CES) gas mixtures.

**Keywords:**glow discharge, numerical modeling, positive glow, cathode layer, normal discharge, abnormal glow, semi-empirical model, two-dimensional model

**References**

1. Kudryavtsev A.A., Smirnov A.S., Tsendin L.D. Fizika Tleyushchego Razryada [Physics of Glow Discharge]. St. Petersburg, Lan' Publ., 2010, 512 p.

2. Granovskii V.L. Elektricheskii Tok v Gaze. Ustanovivshiisya Tok [Electric Current in the Gas. Sustained Current]. Moscow, Nauka Publ., 1971, 490 p.

3. Raizer Yu.P. Fizika Gazovogo Razryada [Gas Discharge Physics]. Moscow, Nauka Publ., Fizmatlit Publ., 1987, 592 p.

4. Bogdanov E.A., Kapustin K.D., Kudryavtsev A.A., Chirtsov A.S. Different approaches to fluid simulation of the longitudinal structure of the atmospheric-pressure microdischarge in helium. Technical Physics. The Russian Journal of Applied Physics, 2010, vol. 55, no. 10, pp. 1430–1442. doi: 10.1134/S1063784210100063

5. Kapustin K., Kudryavtsev A., Bogdanov E., Chirtsov A. Nonlocal behavior of electron fluxes and excitation rates for “local” EEDF in moderate and high pressures DC positive column plasmas. IEEE Transactions on Plasma Science, 2011, vol. 39, no. 11, pp. 2580–2581. doi: 10.1109/TPS.2011.2140385

6. Eliseev S.I., Demidov V.I., Chirtsov A.S., Kudryavtsev A.A., Kolobov V.I., Bogdanov E.A. Simulation of pulsed breakdown in helium by adaptive methods. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2014, no. 5, pp. 139–146.

7. Bogdanov E.A., Chirtsov A.S., Kudryavtsev A.A. Fundamental nonambipolarity of electron fluxes in 2D plasmas. Physical Review Letters, 2011, vol. 106, no. 19, art. 195001. doi: 10.1103/PhysRevLett.106.195001

8. Kaganovich I.D., Demidov V.I., Adams S.F. Raitses Y. Non-local collisionless and collisional electron transport in low-temperature plasma. Plasma Physics and Controlled Fusion, 2009, vol. 51, no. 12, art. 124003. doi: 10.1088/0741-3335/51/12/124003

9. Comsol introduction. Humusoft. Available at: www.humusoft.com/comsol (accessed 30.08.2016).

10. Ashihara O. The electron energy loss rates by polar molecules. Tokyo, Institute of Space and Aeronautical Science, 1975, vol. 40, no. 530, pp. 257.

11. Dalidchik F.I., Sayasov Yu.S. Recombination of electrons in molecular gases. Journal of Experimental and Theoretic Physics, 1965, vol. 49, pp. 302–305.

12. Rudge M.R.H. Theory of ionization of atoms by electron impact. Reviews of Modern Physics, 1968, vol. 40, pp. 564. doi: 10.1103/RevModPhys.40.564

13. Biagi Database. Plasma Data Exchange Project. Available at: www.lxcat.net/Biagi (accessed 22.04.2016).

14. Morgan (Kinema Research & Software) Database. Available at: www.lxcat.net/Morgan (accessed 22.04.2016).

15. Phelps Database IST-Lisbon Database. Available at: www.lxcat.net/Phelps (accessed 22.04.2016).

16. Vainshtein L.A., Sobel'man I.I., Yukov E.A. Secheniya Vozbuzhdeniya Atomov i Ionov Elektronami [Excitation Cross Sections of Atoms and Ions by Electrons]. Moscow, Nauka Publ., 1973, 142 p.

17. Fok V.A. Nachala Kvantovoi Mekhaniki [Principles of Quantum Mechanics]. Moscow, Nauka Publ., 1976, 376 p.

18. Sobel'man I.I. Vvedenie v Teoriyu Atomnykh Spektrov [Introduction to the Theory of Atomic Spectra]. Moscow, Fizmatgiz Publ., 1963, 640 p.

19. Sychov S., Chirtsov A. Genetic algorithm as a means for solving a radial Schrödinger equations system. Proc. XIX Int. Conf. on Soft Calculations and Measurements.

St.-Petersburg, 2003, pp. 489–492.

20. Tuhvatulin A.I., Sysolyatina E.V., Scheblyakov D.V. et. al. Non-thermal plasma causes P53-depended apoptosis in human colon carcinoma cells. Acta Naturae, 2012, vol. 4, no. 3, pp. 82–87.

21. Stroikova I.K., Maksimov A.I. Disinfecting of solutions by glow and diaphragm discharges at atmospheric pressure. Elektronnaya Obrabotka Materialov, 2002, vol. 38, no. 6, pp. 43–49. (In Russian)

22. Kalinin L.G., Panchenko G.I., Boshkova I.L., Kolomiichuk S.G. Influence of low-frequency and microwave electromagnetic fields on seeds. Biophysics, 2005, vol. 50, no. 2, pp. 334–337.

23. Kudryavtsev A.A., Chirtsov A.S., Yakovleva V.I., Mustafaev A.S., Tsyganov A.B. Electron energy spectra in helium observed in a microplasma collisional electron spectroscopy detector. Technical Physics. The Russian Journal of Applied Physics, 2012, vol. 57, no. 10, pp. 1325–1330. doi: 10.1134/S1063784212100106

24. DeJoseph Jr., C.A., Demidov V.I., Kudryavtsev A.A. Nonlocal effects in a bounded low-temperature plasmas with fast electrons. Physics of Plasmas, 2007, vol. 14, no. 5, art. 057101. doi: 10.1063/1.2436470

25. Bogdanov E.A., Kudryavtsev A.A., Ochikova Z.S. Main scenarios of spatial distribution of charged and neutral components in SF6 plasma. IEEE Transactions on Plasma Science, 2013, vol. 41, no. 12, pp. 3254–3267. doi: 10.1109/TPS.2013.2278839

26. Walker J.J., Koepke M.E., Zimmerman M.I., Farrell W.M., Demidov V.I. Analytical model for gyro-phase drift arising from abrupt inhomogeneity. Journal of Plasma Physics, 2014, vol. 80, no. 3, pp. 395–404. doi: 10.1017/S0022377813001359

27. Bogdanov E.A., Demidov V.I., Kaganovich I.D., Koepke M.E., Kudryavtsev A.A. Modeling a short DC discharge with thermionic cathode and auxiliary anode. Physics of Plasmas, 2013, vol. 20, no. 10, art. 101605. doi: 10.1063/1.4823464

28. Koepke M.E., Walker J.J., Zimmerman M.I., Farrell W.M., Demidov V.I. Signature of gyro-phase drift. Journal of Plasma Physics, 2013, vol. 79, no. 6, pp. 1099–1105. doi: 10.1017/S0022377813001128

29. Astafiev A.M., Gutsev S.A., Kudryavtsev A.A. Study of the discharge with an electrolytic electrode (Gatchina’s discharge). Vestnik St. Petersburg State University. Ser. 4. Phys. Chem, 2013, no. 4, pp. 139–142.

30. Barzilovich K.A., Bogdanov E.A., Kudryavtsev A.A.

A criterion of field reversal in a short glow discharge and its dependence on the parameters of the fluid model used. Technical Physics Letters, 2014, vol. 40, no. 7, pp. 581–583. doi: 10.1134/S1063785014070025

31. Bogdanov E.A., Demidov V.I., Kudryavtsev A.A., Saifutdinov A.I. Is the negative glow plasma of a direct current glow discharge negatively charged? Physics of Plasmas, 2015, vol. 22, no. 2, art. 024501. doi: 10.1063/1.4907192

32. Bogdanov E.A., Kudryavtsev A.A., Ochikova Z.S., Chirtsov A.S. Violation of the boltzmann distribution for plasma electron number density in two-chamber inductively coupled plasma discharges. Technical Physics, 2015, vol. 60, no. 10, pp. 1570–1573. doi: 10.1134/S1063784215100084

33. Chen Z., Yin Z., Huang Y., Stepanova O.M., Gutsev S.A., Kudryavtsev A.A. More efficient microwave argon plasma jet with a symmetric hairpin copper wire at atmospheric pressure. IEEE Transactions on Plasma Science, 2015, vol. 43, no. 3, pp. 906–907. doi: 10.1109/TPS.2015.2393552

34. Tchernycheva M.V., Marek V.P., Chirtsov A.S., Shvager D.A. Computational modeling in the study of glow discharge physical processes in the air at low pressures. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2014, no. 3, pp. 140–148. (In Russian)

35. Raizer Yu.P. High-frequency high-pressure induction discharge and the electrodeless plasmotron. Soviet Physics Uspekhi, 1970, vol. 12, pp. 777–791. doi: 10.1070/PU1970v012n06ABEH003972

**PICTURES**

a) b)

Fig. 1. Experimental setup for study of gas discharge: installation diagram (a); installation overall view (b)

a)

b)

c)

d)

e)

f)

Fig. 2. Measurement results of the dependence of the voltage drop across the discharge gap on the magnitude of the voltage supplying the discharge circuit and air mixture pressure in the discharge gap in cases of tube pumping (triangular markers) and the air mixture puffing (markers in the form of squares) together with numerical simulation results in the framework of semi-empirical approach for modeling gas (markers in the form of lozenges). For the convenience of comparison, the data is shown in linear scale on the pressure axis (at the power voltage of the discharge circuit of 5.1 kV (a); at 4.1 kV (b); at 3 kV (c)) and logarithmic (at power supply voltage of the discharge circuit of 5.1 kV (g); at 4.1 kV (d); at 3 kV (e)), where ln(p) is the logarithm of pressure, and u(ln(p) is the dependence of the voltage drop on the logarithm of pressure

a)

b)

c)

Fig. 3. Length dependence of glow discharge positive column in an air mixture on the gas pressure at various values of voltage feeding the discharge circuit: U=5.1 kV (a);U=4.1 kV (b); U=3.0 kV (c)

g)

Fig. 9. The internal parameters of gas discharge in air mixture at lower pressure, obtained in the framework of the model (3)–(6) for voltages equal to 5.1 kV, 4.1 kV and 3 kV: longitudinal distribution of the particle density in category (a)–(c); cross section (g)–(e); transverse distribution of electric potential (f)–(i)