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Modeling a rectilinearly channeled negative surface discharge
Author(s) -
Endo Masao
Publication year - 1997
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/(sici)1520-6416(199709)120:4<7::aid-eej2>3.0.co;2-c
Subject(s) - thermal conduction , boundary value problem , mechanics , physics , constant (computer programming) , electron , current (fluid) , heat equation , mathematics , boundary (topology) , mathematical analysis , thermodynamics , computer science , quantum mechanics , programming language
This study presents a new theoretical model for describing a rectilinearly channeled negative discharge generated on PET film (δ = 50 μm) under atmospheric conditions. The channel is modeled using an RC distributed constant circuit with front potential V t and moving at propagation speed v t . A conduction equation (∂ U /∂ t =μ√ U ∂ 2 U /∂ 2 z ), U = V 2 , with V the potential and μ the electron mobility is introduced under the assumption that the generated current consists of only electrons. This equation can be solved using the boundary conditions and the speed condition in which the speed is considered as being proportional to the gradient of U [, β const]. Although it is difficult to solve the conduction equation analytically under the boundary condition and speed condition, using the simplified boundary condition and the length l(t) instead of the speed condition, the conduction equation is solved numerically. The U(z, t) are calculated and compared with the experimental results. I proposed that one of the best approaches to the discussion of the conduction equation is using the solution of the Stefan problem which corresponds to the fusion phenomenon occurring in a column of ice. The solution of the Stefan problem is also compared with the above numerical solution. © 1997 Scripta Technica, Inc. Electr Eng Jpn, 120(4): 7–13, 1997