@article{fa63d7fa3d7f4465b4bfd87d777d66b4,
title = "Temperature distribution dependence on refractory anode thickness in a vacuum arc: Theory",
abstract = "Anode heating by plasma heat flux in a vacuum arc was modeled. The model included the nonlinear 2-D heat conduction equation with temperature-dependent thermophysical material properties and heat losses by StefanBoltzmann radiation from the anode surfaces. The heat conduction equation was solved numerically for 32-mm-diameter tungsten cylindrical anodes with different anode thicknesses and arc currents. The time-dependent heat flux to the tungsten anode was determined using measured anode temperatures. The time-dependent effective anode voltage Uef was found to decrease from an initial to a steady-state value, e.g., from 11.4 to 7.05 V, for 175 A, anode thickness d=30 mm, and electrode gap h=10 mm. It was shown that Uef increases with d at t = 0 and in the transient period, while at steady state, Uef slightly decreases with d and h.",
keywords = "Anode temperature, effective voltage, heat conduction, refractory anode, vacuum arc",
author = "Beilis, {Isak I.} and Yosef Koulik and Boxman, {Raymond L.}",
note = "Funding Information: Manuscript received November 1, 2010; revised January 5, 2011; accepted January 18, 2011. Date of publication April 5, 2011; date of current version June 10, 2011. This work was supported by a grant from the Israel Science Foundation.",
year = "2011",
month = jun,
doi = "10.1109/TPS.2011.2118768",
language = "אנגלית",
volume = "39",
pages = "1307--1310",
journal = "IEEE Transactions on Plasma Science",
issn = "0093-3813",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "6 PART 1",
}