Alexandros I. Iatridis, Ioannis E. Sarris
The electromagnetically driven liquid metal flow in a toroidal duct of a square cross-section is studied numerically searching for the critical Reynolds (Re) and Hartmann (Ha) numbers where transition occurs. Results are reported for Ha up to 500, building a transition map of critical Reynolds and Hartmann numbers and showing two distinct regimes of transition signified by the destabilization of the secondary flow: The first, for Ha <18, where the Lorentz force is balanced by fluid momentum diffusion and the second, for Ha⩾18, where it is balanced by fluid inertia. In both cases, the destabilization of the secondary flow occurs primarily near the concave sidewall. For Ha⩾18, the transition follows approximately the relationship Re=16.803Ha1.43 for values of Re and Ha in the range 80 <Re/Ha<224.
@article{1a0f6726-d68b-4c84-af24-7ceb1beb129f,
title={Transition of an electromagnetically dri},
author={Alexandros I. Iatridis and Ioannis E. Sarris},
year={2026},
language={en}
}TY - JOUR TI - Transition of an electromagnetically dri AU - Alexandros I. Iatridis AU - Ioannis E. Sarris PY - 2026 LA - en ER -
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