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July 5, 2026J — Multidisciplinary Scientific JournalOpen Access

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

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Authors

RKRizos N. Krikkis

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Overview

Numerical bifurcation analysis reveals multiple energy states in inductively coupled plasmas and wall-stabilized arcs, suggesting complex thermal properties.

Key Points

  • This research aims to analyze the solution structure of inductively coupled plasmas and wall-stabilized arcs for argon and hydrogen, focusing on their non-linear characteristics.
  • Performed a numerical bifurcation analysis for inductively coupled plasmas and wall-stabilized arcs using a one-dimensional model.
  • Evaluated the relationship between thermal conductivity and temperature associated with the plasma setups.
  • Compared theoretical results with experimental data for validation.
  • Identified up to three solutions for argon and four solutions for hydrogen due to non-linear characteristics.
  • Demonstrated that the non-monotonic relationship between thermal conductivity and temperature plays a key role in solution multiplicity.
  • Achieved good agreement between model predictions and experimental data, despite the model's simplicity.

Cite This Study

Rizos N. Krikkis (2026) studied this question.

synapsesocial.com/papers/6a49f70df5d1d45b288010fahttps://doi.org/10.3390/j9030020
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