Asymptotic treatment of the Elenbaas–Heller equation

H.K. Kuiken

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    Abstract

    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
    Volume58
    Issue number17
    DOIs
    Publication statusPublished - 1991

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