ANDRÉTH HESS, YURII KOLESNIKOV
This study presents a model describing the interplay between electromagnetic forces, inertia, and gravity in liquid-metal current-limiting devices, specifically utilizing the electromagnetic pinch effect. A nonlinear ordinary differential equation characterizes the dynamics of the H-trough system, addressing how the fluid's cross-section varies over time. Through bifurcation analysis, it is observed that the fluid's cross-section becomes a discontinuous function of the electrical current for various geometry parameters. A critical current threshold results in a significant increase in the system's total electric resistance, manifesting the current-limiting behavior due to the pinch effect. Experimental validation of the model demonstrates strong alignment with theoretical predictions at low electric currents. However, at higher currents, three-dimensional instabilities and end effects contribute to discrepancies between the experimental results and the one-dimensional model. The findings enable isolation of significant non-dimensional parameters for liquid-metal current limiters and establish a scaling law relating critical electric current to geometric and material properties of the system.
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title={The H trough a model for liquid metal el},
author={ANDRÉTH HESS and YURII KOLESNIKOV},
year={2026},
language={en}
}TY - JOUR TI - The H trough a model for liquid metal el AU - ANDRÉTH HESS AU - YURII KOLESNIKOV PY - 2026 LA - en ER -
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