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

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

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
\Bibitem{LonUly14} \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 \mathnet{http://mi.mathnet.ru/tvt1818} \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} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000346405400002} \elib{http://elibrary.ru/item.asp?id=24021206} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919647447} 

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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 òungsten electrode”, High Temperature, 54:5 (2016), 627–631
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
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