Characteristic analysis of plasma channel and shock wave in electrohydraulic pulsed discharge

Liu, Si Wei; Liu, Yi; Ren, Yi; Lin, Fu Chang; Liu, Yang

doi:10.1063/1.5092362

Cited by 29 publications

(13 citation statements)

References 34 publications

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“…However, at later times, when the discharge channel diameter becomes comparable with the electrode gap, a spherical model is again more appropriate. That is why a two stage description was introduced, at which an earlier cylindrical geometry transforms later on into a spherical one [34,35]. A first attempt to numerically simulate the discharge channel as an expanding ellipsoid was done by Stelmashuk [36].…”

Section: Introductionmentioning

confidence: 99%

Modelling of time development of cylindrical underwater spark channel in compressible viscous liquid

Koláček¹,

Stelmashuk²,

Tuholukov³

et al. 2020

J. Phys. D: Appl. Phys.

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In this study, a new finite-difference cylindrical model of long underwater spark is developed that allows us to numerically calculate the time evolution of the underwater spark channel from a given power input. A one dimensional simulation starts in the breakdown moment. The whole time development is divided into time steps of equal duration. The investigated region consists of a homogeneous cylindrical central column filled with weakly ionized vapour and its atomic fragments, and co-axial cylindrical liquid slabs of equal thickness in the beginning. In each time step, some energy (experimentally given and reduced by losses spent on dissociation, excitation, and ionization) is delivered into the central plasma column. This energy is partly irradiated, out-conducted, spent on mechanical work, and/or used for an increase of inner energy of the plasma column. This ambiguity enables us in future to fit, e.g. the plasma column diameter at the end of energy input to its experimental value. The model shows that plasma channel expansion generates a primary pressure wave propagating with supersonic velocity, and a subsequent secondary pressure wave that propagates with sound velocity. An advantage of this approach is that the present solution with constant coefficients can be relatively easily upgraded to a solution with variable coefficients.

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Section: Introductionmentioning

confidence: 99%

Modelling of time development of cylindrical underwater spark channel in compressible viscous liquid

Koláček¹,

Stelmashuk²,

Tuholukov³

et al. 2020

J. Phys. D: Appl. Phys.

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“…e inductance and the capacitance of the plasma channel are ignored because their impedance is much smaller compared to the channel resistance [18,[20][21][22]24]. e total inductance of the circuit is L. e channel resistance is R p .…”

Section: Description Of the Problemmentioning

confidence: 99%

“…Some researchers used to treat R p as a time-varying resistance [12][13][14][15][16][17][18] and others prefer to regard R p as a constant [19][20][21][22][23] during the discharge. It turned out that usage of constant resistance to calculate the channel power, channel energy, and electroacoustic conversion e ciency and to simulate bubble motion together with bubble dynamics model, equation of state of water, and energy conservation equation can bring about accepted results.…”

Section: Introductionmentioning

confidence: 99%

Methods on the Determination of the Circuit Parameters in an Underwater Spark Discharge

Han

Zhang

Yan

et al. 2022

Mathematical Problems in Engineering

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We constructed an underwater discharge system to conduct a number of experiments. Considering the constant resistance of the plasma channel, we got an analytic expression for the current containing unknown parameters on the basis of the Kirchhoff voltage law. Therefore, we are required to determine the total circuit resistance R with the measured current data in hand. Three methods are employed to get this job done, namely, nonlinear least squares with three variables (NLS-TV), nonlinear least squares with a single variable (NLS-SV), and waveform calculation method (WCM). The Levenberg–Marquardt (L-M) algorithm and particle swarm optimization (PSO) algorithm are employed in NLS-TV and NLS-SV, and the root mean square error (RMSE), as well as an improved cosine similarity (ICS), was selected to evaluate the performance of algorithms. The results show that NLS-TV gives an optimal solution with the combination of the PSO algorithm and L-M algorithm. Then, by calculation, R = 1.3195 Ω , C = 0.56865 μF, and L = 17.172 μH. RMSE and ICS between fitted current data and measured one are 43.9689 and 0.9947, respectively. NLS-SV gives a satisfying solution either by PSO or by L-M, yet it needs information of angular frequency from the measured current waveform and the total inductance C . In this case, we get R = 1.3115 Ω , L = 16.969 μH, RMSE = 48.0883, and ICS = 0.9967. As for WCM, it is completely dependent on the measured current waveform and the total inductance C . The corresponding values of R and L are 1.2463 Ω and 16.993 μH. Also, we get RMSE = 52.1902 and ICS = 0.9728. For NLS-SV and WCM, the needed total capacitance during calculation is determined using the computed capacitance by NLS-TV. If the energy storage capacitance is used as the total capacitance, the obtained solution is frustrating. Therefore, independent use of NLS-SV or WCM demands a precise capacitance of the total circuit measured by an RLC meter. We also draw a conclusion that ignoring the capacitance of other parts of the circuit is incorrect and will lead to an enormous error during calculation.

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“…The current amplitude of pulsed spark discharge can reach several hundred amperes, while the current amplitude of pulsed arc discharge is in the kiloampere range [2,3]. With the injection of electric energy, the arc channel is rapidly heated and expanded to form a high-temperature and high-pressure environment, which generates intense ultraviolet radiation and a large number of free radicals, and propagates powerful shock waves outward [4,5]. Compared with streamer discharge and spark discharge, pulsed arc discharge is more widely used in sewage treatment, rock fragmentation, cavitation damage and other fields.…”

Section: Introductionmentioning

confidence: 99%

Spectral diagnosis of underwater microsecond high-current pulsed discharge plasma

Shijie,

Yi,

Liuxia

et al. 2024

J. Phys. D: Appl. Phys.

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Underwater microsecond high-current pulsed discharge can generate powerful shock waves and a significant number of active ions, offering a wide range of applications. To analyze the characteristics of plasma channel formed by the discharge, this study established a comprehensive test platform and conducted spectral diagnosis for underwater high-current pulsed discharge. Considering the randomness of the pulsed arc discharge, the voltage and current waveforms under different discharge cases were measured, and the images and emission spectra of the plasma channel were obtained. The origin of the continuous emission of the initial spectra was analyzed. A spectral fitting algorithm was proposed, which could separate the spectral lines into line emission of Hα and continuous background, and correct the self-absorption. The time-varying characteristics of electron density were obtained under three typical discharge cases, the possible errors caused by baseline shift were considered, and the influencing factors of line broadening were analyzed. Under the test conditions of this study, the electron density of plasma channel was in the order of 1024-1025 m-3.

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Characteristic analysis of plasma channel and shock wave in electrohydraulic pulsed discharge

Cited by 29 publications

References 34 publications

Modelling of time development of cylindrical underwater spark channel in compressible viscous liquid

Modelling of time development of cylindrical underwater spark channel in compressible viscous liquid

Methods on the Determination of the Circuit Parameters in an Underwater Spark Discharge

Spectral diagnosis of underwater microsecond high-current pulsed discharge plasma

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