摘要: The process of levitation melting metals is examined analytically and numerically for the case axisymmetric toroidal high-frequency currents. governing equations mean-velocity field associated free-surface shape are derived under assumption low magnetic Reynolds number neglect thermal effects. form solution high discussed in general, particularized to surface tension, which limit a perturbation analysis about spherical presented. Finite-difference techniques used solve Navier–Stokes sphere, calculated. asymptotic behaviour potential vorticity illustrated by numerical experiments.