Emile Soutter, Jacques Rappaz
A mixture model to take into account the flow of small carbon dioxide bubbles dissolved in a liquid is presented. The model describes the evolution of the velocity fields (mixture and gas), the pressure, and the volumetric fraction of gas. The system of equations is derived from the principles of mass and momentum conservation of the mixture and the gas. Well-posedness is established for a simplified problem in which the volume fraction of gas is known and small. A priori error estimates are demonstrated for a stabilized finite element approximation. An industrial application related to aluminium electrolysis is explored. Numerical results indicate that the effect of gas bubbles on the flow is significant and cannot be overlooked.
@article{b24eae9a-36ad-4be5-868d-49c243737113,
title={A mixture model for a dilute dispersion},
author={Emile Soutter and Jacques Rappaz},
year={2026},
language={en}
}TY - JOUR TI - A mixture model for a dilute dispersion AU - Emile Soutter AU - Jacques Rappaz PY - 2026 LA - en ER -
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