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TVT, 2014, Volume 52, Issue 6, Pages 815–824 (Mi tvt1818)  

This article is cited in 2 scientific papers (total in 2 papers)

Plasma Investigations

Numerical simulation of the anode region of a high-current vacuum-arc discharge and the Bohm criterion

Ya. I. Londer, K. N. Ulyanov

Russian Electrotechnical Institute Named after V. I. Lenin

Abstract: The anode region of the vacuum-arc discharge in an external magnetic field is studied with allowance for the dependence of the negative anode drop on the ratio of the directed velocity of electrons $v_0$ to their thermal velocity $v_T$. The Poisson equation is solved in a space charge layer near the anode at various values of the electric field $E(0)$, ion velocity $v_i(0)$, and parameter $v_0/v_T$ at the layer–-plasma boundary. It is shown that there exists a minimum velocity $v_i^*(0)$ of ions incoming to the anode layer at which the electric field vanishes at a single point inside the layer. The velocity $v_i^*(0)$ determines the boundary of the existence of the stationary anode layer and depends on the ratio $v_0/v_T$. As $v_0/v_T \to 0$, the value $v_i^*(0)$ asymptotically tends to the ion-sound speed, which agrees with the well-known Bohm criterion. The velocity $v_i^*(0)$ increases with an increase in $v_0/v_T$. For $v_i(0) < v_i^*(0)$, there are no stationary solutions in the anode layer. The domain of existence of stationary solutions in the anode layer is determined for different values of the parameters $E(0)$ and $v_0/v_T$.

DOI: https://doi.org/10.7868/S004036441405010X

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English version:
High Temperature, 2014, 52:6, 787–796

Bibliographic databases:

UDC: 537.525
Received: 18.04.2013

Citation: Ya. I. Londer, K. N. Ulyanov, “Numerical simulation of the anode region of a high-current vacuum-arc discharge and the Bohm criterion”, TVT, 52:6 (2014), 815–824; High Temperature, 52:6 (2014), 787–796

Citation in format AMSBIB
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\by Ya.~I.~Londer, K.~N.~Ulyanov
\paper Numerical simulation of the anode region of a high-current vacuum-arc discharge and the Bohm criterion
\jour TVT
\yr 2014
\vol 52
\issue 6
\pages 815--824
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\crossref{https://doi.org/10.7868/S004036441405010X}
\elib{http://elibrary.ru/item.asp?id=22403793}
\transl
\jour High Temperature
\yr 2014
\vol 52
\issue 6
\pages 787--796
\crossref{https://doi.org/10.1134/S0018151X14050101}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. E. Balanovskiy, “Visualization of the process of metal heating and melting in the anode zone in an arc discharge with a ňungsten electrode”, High Temperature, 54:5 (2016), 627–631  mathnet  crossref  crossref  isi  elib
    2. A. V. Agafonov, V. P. Tarakanov, S. G. Kladko, S. P. Maslennikov, D. S. Stepanov, E. Ya. Shkolnikov, “Dynamics of plasma and ion flux in a vacuum neutron tube”, High Temperature, 55:5 (2017), 672–677  mathnet  crossref  crossref  isi  elib
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