Magnetic separator simulation

ore (+ water) -> magnetics + nonmagnetics (susceptibility partition)

Governing equations

The exact equations the solver works for a magnetic separator — the same math shown in the app's "Theory" panel, not a black box.

$R(\chi)$

fraction of particles of susceptibility χ reporting to the magnetics

$\chi$

particle mass magnetic susceptibility [m^3/kg]

$\chi_c$

susceptibility captured half at the reference field [m^3/kg]

$\chi_{c,eff}$

effective cut susceptibility at the operating field and size [m^3/kg]

$s$

sharpness of the partition

$B, B_{ref}$

operating and reference magnetic field [T]

$d_{ref}, n$

reference particle size [m] and size exponent

$w_m, \chi_m$

mass share and susceptibility of mineral m

$\chi_{particle}$

particle susceptibility [m^3/kg]

Parameters

mineral_susceptibilities_m3_kg [{mineral: m^3/kg}, required for every mineral], field_t [T, required], cut_susceptibility_m3_kg [m^3/kg, required — captured half at reference_field_t], reference_field_t [T, required], sharpness [-, required]; optional reference_size_m [m] + size_exponent [-, default 2], valuable_mineral + grain_size_m [m], liquid_to_magnetics [0..1, required with a liquid inlet], assay