1997
DOI: 10.1088/0022-3727/30/4/017
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Streamer propagation in air

Abstract: A theory is presented for the development of the first streamer when a positive voltage is abruptly applied to a point in air at atmospheric pressure. The continuity equations for electrons, positive ions and negative ions, including the effects of ionization, attachment, recombination, electron diffusion, and photoionization, are solved simultaneously with Poisson's equation. With an applied voltage of 20 kV across a 50 mm gap, the streamer does not reach the cathode. An intense electric field front propagate… Show more

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Cited by 500 publications
(500 citation statements)
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“…The S ph term is the rate of electron-ion pair production due to photoionization in a gas volume. Transport parameters and reaction rates are taken from [16]. For the photoionization source term, the three-group SP 3 model is used [17] with boundary conditions given in [18].…”
Section: Model Descriptionmentioning
confidence: 99%
“…The S ph term is the rate of electron-ion pair production due to photoionization in a gas volume. Transport parameters and reaction rates are taken from [16]. For the photoionization source term, the three-group SP 3 model is used [17] with boundary conditions given in [18].…”
Section: Model Descriptionmentioning
confidence: 99%
“…Ionic diffusion was not taken into account, as it does not play any significant role during the streamer propagation since the propagation lasts only for some hundreds of nanoseconds. Under these conditions, the system of continuity equations for densities of electrons, positive and negative ions was written in the following manner: ∂n e ∂t + div (n e w e + D e ∇n e ) = αn e |w e | − an e |w e | − β ep n e n p + S ph + S 0 ∂n p ∂t + div n p w p = αn e |w e | − β ep n e n p − β pn n p n n + S ph (1) ∂n n ∂t + div (n n w n ) = an e |w e | − β np n p n n where t is the time; n e , n p , n n are the number densities of electrons, positive ions and negative ions respectively; w e , w p , w n are the drift velocities of electrons, positive ions and negative ions respectively; α is the ionization coefficient; a is the net attachment coefficient taking into account twoand three-body attachment of electrons to oxygen molecules; D e is the diffusion coefficient for electrons; β ep , β pn are the coefficients of electron-ion and ion-ion recombinations respectively; S ph is the rate of photoionization; S 0 is the rate of appearance of initial electrons (see below).…”
Section: Basic Equationsmentioning
confidence: 99%
“…The magnitudes of the rate coefficients and their dependences on the electric field were taken from [1] except the formulae for the attachment coefficient. The dependence a(E) given in [14] The rate of ionization of oxygen molecules by absorption of photons that are radiated by excited molecules of nitrogen S ph was calculated according to [15] …”
Section: Basic Equationsmentioning
confidence: 99%
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