Abstract
Flow of liquid metal in a high frequency induction furnace due to electromagnetic forces was studied theoretically.
Electromagnetic forces were calculated by LAVERS' model of which applicability to laboratory-scale induction furnaces had been confirmed experimentally in the previous study. It was shown that the force and velocity distribution under a constant geometric condition of the furnace were described by two dimensionless parameters, CI(=γ21μe(NIm/L)2/ρν2) and γ1/δ(=γ1(πμeσef)1/2), by considering the dimensionless equations of electromagnetic field and flow field, where γ1 is the radius of melt, L the bight of coil, N the number of turns in coil, Im the coil current, f the frequency, μe the magnetic permeability, σe the electrical conductivity, ρ the density, and ν the kinematic viscosity of melt.
Velocities of liquid metal were obtained by solving Navier-Stokes equation numerically under the conditions of γ1/δ=1.03-22.5, CI=1.6×103-2.83×109.
