Asymptotic treatment of the Elenbaas–Heller equation

H.K. Kuiken

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When the maximum temperatures within a high-pressure gas discharge arc are lower than the ionization temperature of the gas molecules by an order of magnitude, an asymptotic treatment of the temperature equation is possible. This is illustrated by means of the Elenbaas–Heller equation [e.g., M. F. Hoyaux, Arc Physics (Springer, Berlin, 1968), p. 36] for a nonradiating wall-stabilized arc. The asymptotics lead to a closed-form expression for the relationship between the arc current and the axis temperature. An expression for the heat loss per unit length is also given.
Original languageEnglish
Pages (from-to)1833-1835
Number of pages3
JournalApplied Physics Letters
Issue number17
Publication statusPublished - 1991


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