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The Solution Structure of the Elenbaas–Heller Equation for Inductively Coupled Plasmas and Wall Stabilized Arcs

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  • Rizos N. Krikkis

    (Institute of Thermal Research, 2 Kanigos Str., P.O. Box 106 77 Athens, Greece)

Abstract

A numerical bifurcation analysis is presented for inductively coupled plasmas and wall-stabilized arcs for argon and hydrogen. Because of the non-linear transport and radiative properties, both problems admit multiple solutions, up to three for argon and up to four for hydrogen. The multiplicity structure primarily dependents on the non-linear, and, especially, the non-monotonic relationship between thermal conductivity and temperature. As a result of the non-monotonicity, a multipoint energy equilibrium between joule heating (heat generation) and heat dissipation by conduction and radiation exists, giving rise to the multiplicity that is a characteristic feature of both radiating and non-radiating arcs. Despite the relatively simple one-dimensional model employed, the agreement with the experimental data is good.

Suggested Citation

  • Rizos N. Krikkis, 2026. "The Solution Structure of the Elenbaas–Heller Equation for Inductively Coupled Plasmas and Wall Stabilized Arcs," J, MDPI, vol. 9(3), pages 1-17, July.
    • Handle: RePEc:gam:jjopen:v:9:y:2026:i:3:p:20-:d:1982910
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