E V G E N Y V. V O T Y A K O V, E G B E R T Z I E N I C K E
Many practical applications exploit an external local magnetic field as an essential part of their construction. This paper reports a 3D numerical study analyzing the flow of electrically conducting fluid influenced by an external magnetic field, building on prior research that demonstrated the occurrence of several kinds of recirculation. Initially, we derive equations for computing an external magnetic field and validate these equations against experimentally measured field intensity. Subsequently, we investigate flow characteristics under varying magnetic field configurations, highlighting that the flow within the magnetic gap is primarily influenced by the interaction parameter N, which represents the ratio of the Lorentz force to the inertial force. Depending on the constrainment factor κ, the flow demonstrates distinct stationary recirculation patterns, including two magnetic vortices, a six-vortex ensemble, and no vortices, as κ varies. Recirculation is observed when N surpasses a critical threshold Nc,m, with the reverse electromotive force acting as the driving force to counterbalance the reverse electrostatic field. The study reveals the strong dependence of Nc,m on κ and shows that well-developed recirculation in simulations correlates effectively with physical experiments.
@article{4993d7eb-51a6-4fb5-85e2-2df364f65032,
title={Constrained flow around a magnetic obsta},
author={E V G E N Y V. V O T Y A K O V and E G B E R T Z I E N I C K E},
year={2026},
language={en}
}TY - JOUR TI - Constrained flow around a magnetic obsta AU - E V G E N Y V. V O T Y A K O V AU - E G B E R T Z I E N I C K E PY - 2026 LA - en ER -
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