Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Heat flux density distribution on the electrodes of an arc

Author: R. L. Bish
Journal: Quart. Appl. Math. 47 (1989), 379-383
MSC: Primary 80A20; Secondary 78A60
DOI: https://doi.org/10.1090/qam/998111
MathSciNet review: 998111
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Abstract: A general formula is derived for the radiant heat flux density on the surfaces of the electrodes of an electric arc. The formula is applied to a vertical arc burning above a cone-shaped electrode. In the case of a $ {90^ \circ }$ cone, or flat plate, the heat flux density distribution shares the same general form as the Gaussian distribution. It is shown that the effect of decreasing the cone angle is to increase the flux density at the cone vertex and to diminish this flux elsewhere on the cone surface.

References [Enhancements On Off] (What's this?)

  • [1] D. Rosenthal, Mathematical theory of heat distribution during welding and cutting, Welding J. 20, 220 (1941)
  • [2] V. Pavelic, R. Tanbakuchi, O. A. Uyehara, and P. S. Myers, Experimental and computed temperature histories in gas tungsten-arc welding of thin plates, Welding J. 48, 295 (1969)
  • [3] H. A. Nied, Weld Pool Geometry Predictions Using a Two-Dimensional Heat Flow Model, Conference on Trends in Welding Research, Gatlinburg, Tennessee, 18-22 May 1986, edited by S. A. David, published by ASM, p. 21
  • [4] Barry Spain, Vector analysis, D. Van Nostrand Co. Ltd., London-Toronto-New York, 1965. MR 0183824
  • [5] J. M. Somerville, The Electric Arc, Methuen, London, 1959, p. 22

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DOI: https://doi.org/10.1090/qam/998111
Article copyright: © Copyright 1989 American Mathematical Society

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