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(=γ
21μ
e(
NIm/
L)
2/ρ
ν2) and γ
1/δ(=γ
1(πμ
eσ
ef)
1/2), by considering the dimensionless equations of electromagnetic field and flow field, where γ
1 is the radius of melt,
L the bight of coil,
N the number of turns in coil,
Im the coil current,
f the frequency, μ
e the magnetic permeability, σ
e 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 γ
1/δ=1.03-22.5,
CI=1.6×10
3-2.83×10
9.
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