Mathematical model of positive column of electric discharge in the nondiffusion approximation

2000 ◽  
Vol 38 (3) ◽  
pp. 344-350 ◽  
Author(s):  
K. N. Ul’yanov
Keyword(s):  
Mathematical Model ◽  
Electric Discharge ◽  
Positive Column

scholarly journals Electric discharge during electrosurgery

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Alexey Shashurin ◽  
David Scott ◽  
Taisen Zhuang ◽  
Jerome Canady ◽  
Isak I. Beilis ◽  
...  
Keyword(s):  
Electric Discharge ◽  
Rayleigh Scattering ◽  
Positive Column ◽  
Plasma Electron ◽  
Atmospheric Plasma ◽  
Plasma Parameters ◽  
Breakdown Threshold ◽  
Half Wave ◽  
Electrical Conductivities ◽  
The Moment

Abstract Electric discharge utilized for electrosurgery is studied by means of a recently developed method for the diagnostics of small-size atmospheric plasma objects based on Rayleigh scattering of microwaves on the plasma volume. Evolution of the plasma parameters in the near-electrode sheaths and in the positive column is measured and analyzed. It is found that the electrosurgical system produces a glow discharge of alternating current with strongly contracted positive column with current densities reaching 103 A/cm2. The plasma electron density and electrical conductivities in the channel were found be 1016 cm−3 and (1-2) Ohm−1cm−1, respectively. The discharge interrupts every instance when the discharge-driving AC voltage crosses zero and re-ignites again every next half-wave at the moment when the instant voltage exceeds the breakdown threshold.

scholarly journals Comparative Analysis of Methods for Mathematical Modeling of Specific Electrical Conductivity of Plasma in the Channel of an Electric Discharge in Water

2021 ◽  
Vol 57 (4) ◽  
pp. 24-34
Author(s):  
V.M. Kosenkov ◽  
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Electrical Conductivity ◽  
Comparative Analysis ◽  
Electric Discharge ◽  
Specific Electrical Conductivity ◽  
Empirical Function ◽  
Electric Discharge In Water

In the present work, a comparative analysis of three methods for determining the specific electrical conductivity of the plasma formed in the channel of an electric discharge in water is carried out for its mathematical modeling. The parameters of the empirical function are determined, at which the results of mathematical modeling are consistent with the experimental data. The necessity of using empirical functions in calculating the specific electrical conductivity of plasma has been substantiated. The obtained ratios made it possible to significantly increase the adequacy of the previously developed mathematical model of the physical discharge processes in water and to expand the range of parameters in which it can be used.

scholarly journals Distribution of the charged particles of a gas-discharge laser plasma in a transverse magnetic field. II. Experimental study

2021 ◽  
Vol 2059 (1) ◽  
pp. 012014
Author(s):  
S A Martsinukov ◽  
D K Kostrin
Keyword(s):  
Magnetic Field ◽  
Mathematical Model ◽  
Experimental Study ◽  
Transverse Magnetic Field ◽  
Positive Column ◽  
Charged Particles ◽  
Transverse Magnetic ◽  
Gas Discharge ◽  
Gas Mixture ◽  
Discharge Laser

Abstract The paper presents an experimental verification of the adequacy of a physical and mathematical model describing the influence of an external transverse magnetic field on the distribution of the charged particles in a positive column of a gas discharge. A gas-discharge laser located in a transverse magnetic field was used to conduct the study. The vacuum installation allows pumping out the system and feeding the gas mixture into it under a certain pressure. The data obtained during the experiments differ from the calculated ones by no more than 4–5 %.

scholarly journals Mathematical Modelling of Electric Discharge Machining of Al (6351)-SiC-B4C Hybrid Composite

2020 ◽  
Vol 8 (4S4) ◽  
pp. 163-166
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Surface Roughness ◽  
Mathematical Modelling ◽  
Electric Discharge ◽  
Electrode Wear ◽  
Electric Discharge Machining ◽  
Pulse On Time ◽  
The Mathematical Model ◽  
Time Pulse

The Electric Discharge Machining (EDM) has emerged as one of the major machining method for the machining of hard-to- machine materials and composites. This paper aims at creating a mathematical model for the machining of the Al(6351)-SiC-B4C composites based on the experimental data and compare the same to identify the level of errors between the mathematical model and the experimental results. This paper was aimed as an attempt to develop a mathematical model for the output parameters viz. Electrode Wear ratio and Surface roughness based on the input parameters viz. current, pulse-on-time, pulse duty-factor and gap voltage.

Modeling the tool wear rate in powder mixed electro-discharge machining of titanium alloys using dimensional analysis of cryogenically treated electrodes and workpiece

2016 ◽  
Vol 231 (2) ◽  
pp. 271-282 ◽  
Author(s):  
Sanjeev Kumar ◽  
Rupinder Singh ◽  
Ajay Batish ◽  
TP Singh
Keyword(s):  
Mathematical Model ◽  
Wear Rate ◽  
Tool Wear ◽  
Titanium Alloys ◽  
Dimensional Analysis ◽  
Electric Discharge ◽  
Cryogenic Treatment ◽  
Tool Wear Rate ◽  
Electric Discharge Machining ◽  
X Ray

Three grades of titanium alloy TITAN 15, TITAN 21, and TITAN 31 were machined using powder mixed electric discharge machining to study the effect of cryogenic treatment and its effect on tool wear rate (TWR). Thereafter, an attempt has been made to develop a mathematical model for predicting TWR using dimensional analysis using the outcome of the Taguchi model and thermo-physical properties of tool materials. The model shows the significant role of thermal conductivity on TWR in electric discharge machining of titanium alloys. The predicted values from the developed mathematical model were validated and were found to be in good agreement with the experimental results. Microscopic investigations on selected tool samples were performed using scanning electron microscope, energy-dispersive X-ray spectrometer, and X-ray diffraction. The results showed transfer of material on the tool surface from the workpiece, dielectric, and the powder.

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