Acronyms	Meaning
$\omega$	angular frequency
$r_{CBottom}$	bottom radius of the inductor
$\sigma$	conductivity
DO	discrete ordinals
${\lambda }_{ef}$	effective conductivity
${\eta }_{ef}$	effective viscosity
$V_e$	electric potential
C	empirical constant
$\rho W$	energy density
$\delta$	field penetration depth
g	gravitational acceleration
$\mathrm{j}$	imaginary unit
$r_{WIn}$	inner radius of the wire
k	kinetic energy of turbulence
$\mu$	magnetic permeability
$\mathit{A}$	magnetic vector potential
$\rho$	mass density
$\eta$	molecular viscosity
$r_{WOut}$	outer radius of the wire
RTE	radiation transfer equation
$r_B$	radius of the batch
$J_s$	source current density
$I_s$	source current
c	specific heat capacity
p	static pressure
S	area
T	temperature
k	thermal conductivity
$r_{CTop}$	top radius of the inductor
$h_C$	total height of the inductor
$ϵ$	turbulence energy dissipation coefficient
${\eta }_t$	turbulent viscosity
I	unit tensor
$\nu$	velocity vector
q	volume density of the heat source