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Stability of Hall-HerouIt cells

K.Kalgraf

2026enmagnetohydrodynamicsHall-Heroult cellsfluid stabilityNavier-Stokesmagnetic fieldselectrolytic cellselectrolytewavesinstabilityflows

Abstract

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This study investigates the stability of Hall-Heroult cells, focusing on the motion and stability of the metal/electrolyte interface governed by the Navier-Stokes equation. The objective is to derive stability criteria for shallow magneto-gravitational flow and magneto-flow utilizing independent decompositions of the Navier-Stokes equation. The methodology incorporates the divergence and curl of the equation to assess magneto-gravitational waves and their relation to magnetic fields and geometry. Results indicate that the movement of Alfven waves and their stability properties are intrinsically linked to the magnetic field and the geometry of the system, demonstrating that the magnetic field drives circulatory patterns within the cell. This work builds on established theories from previous researchers while introducing viscosity considerations for nearly incompressible fluids in a specified rectangular cavity. Ultimately, this analysis contributes to a comprehensive understanding of the stability criteria applicable to Hall-Heroult cells, vital for optimizing industrial applications in aluminum production.

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Cite This Work

@article{bb5241ba-b75c-4f59-8814-3372d8d31a07,
  title={Stability of Hall-HerouIt cells},
  author={K.Kalgraf},
  year={2026},
  language={en}
}
TY  - JOUR
TI  - Stability of Hall-HerouIt cells
AU  - K.Kalgraf
PY  - 2026
LA  - en
ER  -

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