Scaling laws in axisymmetric magnetohydrodynamic duct flows
A. Poy\'e, O. Agullo, N. Plihon, W.J.T. Bos, V. Desangles, G., Bousselin

TL;DR
This paper presents a numerical investigation of axisymmetric liquid metal flows in a duct under magnetic forcing, identifying flow regimes and scaling laws, and comparing results with experiments.
Contribution
It introduces new scaling laws for axisymmetric magnetohydrodynamic duct flows based on extensive numerical simulations and experimental interpretation.
Findings
Different flow regimes identified
Explicit scaling laws established
Numerical results align with experimental data
Abstract
We report on a numerical study of axisymmetric flow of liquid metal in a circular duct with rectangular cross-section. The flow is forced through the combination of an axial magnetic field and a radial current. Sweeping a wide range of forcing parameters, we identify the different regimes which characterize the flows and explicit the associate scaling laws. Experimental results are interpreted in the light of our numerical simulations.
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