Numerical simulation of gap length influence on energy deposition in spark discharge
DOI:
https://doi.org/10.20998/2074-272X.2021.1.06Keywords:
spark discharge, energy deposition, gap length influenceAbstract
The aim of the work is to study the influence of the length of the spark gap on energy input into the discharge channel during its gas-dynamic expansion. Methodology. The research is carried out by numerical modeling of the process of spark discharge development at variable values of the discharge gap length and at invariable other discharge conditions. The length of the gap was set in the range from 1 mm to 20 mm. The study was conducted using a numerical model of spark development, which takes into account the processes of nonstationary gas-dynamic expansion of the spark channel, the transient process in the electric circuit, nonequilibrium chemical processes, gas ionization, heat transfer and electrons thermal conductivity. The simulation was performed in atmospheric pressure nitrogen. The calculation was performed for various parameters of the RLC circuit, such as capacitance, inductance, resistance and voltage across the capacitor. Results. The study evaluates the influence of the spark length on the discharge current, the resistance of the spark channel, the energy deposited in the spark channel, and the distribution of thermodynamic parameters of the gas during the development of the spark discharge. It is confirmed that increasing the length of the gap increases the resistance of the spark. The deviation from the linear relationship between the deposited energy or the radiated energy and the length of the spark gap is estimated. Scientific novelty. A linear relationship between the gap length and the deposited energy is revealed when the total energy is above tens of Joules. Deviations from the linear dependence were detected in the discharge circuit when the total energy is below one of Joules. Practical value. The research results allow predicting the effect of the spark gap length on the energy input into the discharge channel under conditions of a slight change in the discharge current. In the conditions of essential change of amplitude of discharge current it is expedient to apply numerical researches for specification of changes in the energy deposited into a spark discharge.
References
Essmann S., Markus D., Grosshans H., Maas U. Experimental investigation of the stochastic early flame propagation after ignition by a low-energy electrical discharge. Combustion and Flame, 2020, vol. 211, pp. 44-53. doi: https://doi.org/10.1016/j.combustflame.2019.09.021.
Kamenskihs V., Ng H.D., Lee J.H.S. Measurement of critical energy for direct initiation of spherical detonations in stoichiometric high-pressure H2–O2 mixtures. Combustion and Flame, 2010, vol. 157, issue 9, pp. 1795-1799. doi: https://doi.org/10.1016/j.combustflame.2010.02.014.
Korytchenko K., Krivosheyev P., Dubinin D., Lisniak A., Afanasenko K., Harbuz S., Buskin O., Nikorchuk A., Tsebriuk I. Experimental research into the influence of two-spark ignition on the deflagration to detonation transition process in a detonation tube. Eastern-European Journal of Enterprise Technologies, 2019, vol. 4, no. 5 (100), pp. 26-31. doi: https://doi.org/10.15587/1729-4061.2019.175333.
Zhang B., Bai C. Critical energy of direct detonation initiation in gaseous fuel-oxygen mixtures. Safety Science, 2013, vol. 53, pp. 153-159. doi: https://doi.org/10.1016/j.ssci.2012.09.013.
Zhang J., Markosyan A.H., Seeger M., Veldhuizen E.M., Heesch E.J.M., Ebert U. Numerical and experimental investigation of dielectric recovery in supercritical N2. Plasma Sources Science and Technology. 2015, vol. 24, no. 2, pp. 025008. doi: https://doi.org/10.1088/0963-0252/24/2/025008.
Palomares J.M., Kohut A., Galbács G., Engeln R., Geretovszky Zs. A time-resolved imaging and electrical study on a high current atmospheric pressure spark discharge. Journal of Applied Physics. 2015, vol. 118, no. 23, pp. 233305. doi: https://doi.org/10.1063/1.4937729.
Gostimirovic M., Kovac P., Sekulic M., Skoric B. Influence of discharge energy on machining characteristics in EDM. Journal of Mechanical Science and Technology, 2012, vol. 26, no. 1, pp. 173-179. doi: https://doi.org/10.1007/s12206-011-0922-x.
Abramson I.S., Gegechkori N.М. Oscillographic research of spark discharge. Journal of Experimental and Theoretical Physics, 1951, vol. 21, no. 4, pp. 484-492.
Benito Parejo C., Michalski Q., Sotton J., Bellenoue M., Strozzi C. Characterization of Spark Ignition Energy Transfer by Optical and Non-Optical Diagnostics. 8th European Combustion Meeting, 2017, ECM2017.0198.
Knystautas R., Lee J.H. On the effective energy for direct initiation of gaseous detonations. Combustion and flame, 1976, vol. 27, pp. 221-230. doi: https://doi.org/10.1016/0010-2180(76)90025-0.
Minesi N., Stepanyan S., Mariotto P., Stancu G-D., Laux C. On the arc transition mechanism in nanosecond air discharges, AIAA Scitech 2019 Forum, 2019, 2019-0463. doi: https://doi.org/10.2514/6.2019-0463.
Gegechkori N.М. Experimental studies of spark discharge channel. Journal of Experimental and Theoretical Physics, 1951, vol. 21, no. 4, pp. 493-506.
Tanaka Y., Michishita T., Uesugi Y. Hydrodynamic chemical non-equilibrium model of a pulsed arc discharge in dry air at atmospheric pressure. Plasma Sources Science and Technology, 2005, vol. 14, no. 1, pp. 134-154. doi: https://doi.org/10.1088/0963-0252/14/1/016.
Tanaka Y., Sakuta T. Modelling of a pulsed discharge in N2 gas at atmospheric pressure, Journal of Physics D: Applied Physics, 1999, vol. 32, no. 24, pp. 3199-3207. doi: https://doi.org/10.1088/0022-3727/32/24/316.
Janda M., Machala Z., Niklová A., Martišovitš V. The streamer-to-spark transition in a transient spark: a dc-driven nanosecond-pulsed discharge in atmospheric air. Plasma Sources Science and Technology, 2012, vol. 21, no. 4, p. 045006. doi: https://doi.org/10.1088/0963-0252/21/4/045006.
Marode E., Bastien F., Bakker M. A model of the streamer-induced spark formation based on neutral dynamics. Journal of Applied Physics, 1979, vol. 50, no. 1, p. 140-146. doi: https://doi.org/10.1063/1.325697.
Paxton A., Gardner R., Baker L. Lightning return stroke. A numerical calculation of the optical radiation. Physics of Fluids, 1986, vol. 29, no. 8, p. 2736. doi: https://doi.org/10.1063/1.865514.
Shneider M. Turbulent decay of after-spark channels. Physics of Plasmas, 2006, vol. 13, no. 7, p. 073501, doi: https://doi.org/10.1063/1.2218492.
Korytchenko K., Essmann S., Markus D., Maas U., Poklonskii Ye. Numerical and Experimental Investigation of the Channel Expansion of a Low-Energy Spark in the Air. Combustion Science and Technology, 2019, vol. 191, no. 12, pp. 2136-2161. doi: https://doi.org/10.1080/00102202.2018.1548441.
Korytchenko K., Markov V., Polyakov I., Slepuzhnikov E., Meleshchenko R. Validation of the numerical model of a spark channel expansion in a low-energy atmospheric pressure discharge. Problems of Atomic Science and Technology, 2018, vol. 4, pp. 144-146.
Korytchenko K., Poklonskiy E., Vinnikov D., Kudin D. Numerical simulation of gas-dynamic stage of spark discharge in oxygen. Problems of Atomic Science and Technology, 2013, vol. 4, pp. 155-160.
Korytchenko K.V., Poklonskii E.V., Krivosheev P.N. Model of the spark discharge initiation of detonation in a mixture of hydrogen with oxygen. Russian Journal of Physical Chemistry B, 2014, vol. 8, no. 5, pp. 692-700. doi: https://doi.org/10.1134/S1990793114050169.
Korytchenko K.V., Tomashevskiy R.S., Varshamova I.S., Meshkov D.V., Samoilenko D. Numerical investigation of energy deposition in spark discharge in adiabatically and isothermally compressed nitrogen. Japanese Journal of Applied Physics, 2020, vol. 59, no. SH, p. SHHC04. doi: https://doi.org/10.35848/1347-4065/ab72cc.
Zel'dovich Y.B., Raizer Yu. Physics of shock waves and high-temperature hydrodynamic phenomena. Dover Publications, Inc., Mineola, NY, 2002, 896 p.
Petersen E.L., Hanson R.K. Reduced kinetics mechanisms for ram accelerator combustion. Journal of Propulsion and power, 1999, vol. 15, no. 4, pp. 591-600. doi: https://doi.org/10.2514/2.5468.
Belmouss M. Effect of electrode geometry on high energy spark discharges in air. Thesis, Purdue University West Lafayette, Indiana, 2015, 556.
Li X., Liu X., Zeng F., Yang H., Zhang Q. Study on Resistance and Energy Deposition of Spark Channel Under the Oscillatory Current Pulse. IEEE Transactions on Plasma Science, 2014, vol. 42, no. 9, pp. 2259-2265. doi: https://doi.org/10.1109/tps.2014.2331346.
Hemmi R., Yokomizu Y., Matsumura T. Anode-fall and cathode-fall voltages of air arc in atmosphere between silver electrodes. Journal of Physics D: Applied Physics, 2003, vol. 36, no. 9, pp. 1097-1106. doi: https://doi.org/10.1088/0022-3727/36/9/307.
Abramson I.S., Gegechkori N.М. Oscillographic research of spark discharge. Journal of Experimental and Theoretical Physics, 1951, vol. 21, no. 4, pp. 484-492.
Donskoi A.V., Goldfarb V.M., Klubnikin V.S., Dresvin S.V., Eckert H.U., Cheron T. Physics and technology of low-temperature plasmas. Iowa State University Press, 1977. 471 p.
Raizer Yu. Gas discharge physics. Spinger-Verlag, Germany, 1991. 460 p.
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