A boundary-layer model for a plane free-burning high-pressure gas-discharge arc

H.K. Kuiken

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    Abstract

    A boundary-layer model for a plane free-burning high-pressure gas-discharge arc is given. For the dependence on the temperature, a rule given by Elenbaas [The High Pressure Mercury Vapour Discharge (North-Holland, Amsterdam, 1951)]is used for the electrical conductivity and power-law rules for the dynamic viscosity and the thermal conductivity. The specific heat is assumed to be constant. It is shown that a similarity transformation can be applied. The upward velocity increases with the square root of the core temperature. Graphs are given which show how the temperature rise in the arc depends upon the applied current.
    Original languageEnglish
    Pages (from-to)2896-2903
    Number of pages8
    JournalJournal of Applied Physics
    Volume69
    Issue number5
    DOIs
    Publication statusPublished - 1991

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