Hydrocyclone (classifier) simulation

slurry (solid + water) -> coarse underflow + fine overflow

Governing equations

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

$d_{50c}$

corrected cut size [µm] — the diameter split 50/50 (bypass-removed); headline

$D_c, D_i, D_o, D_u$

cyclone / inlet / vortex-finder (overflow) / apex (underflow) dia

$h$

free-vortex height

$Q$

feed volumetric rate

$C_v$

feed solids volume %

$\rho_s, \rho_l$

solid and liquid densities

$E_c$

reduced (corrected) recovery of size d to underflow

$E_a$

actual recovery = the water bypass R_f plus the classified fraction

$m$

sharpness of the partition curve

$R_f$

water (fluid) recovery to underflow

Parameters

either d50c_m [m, corrected cut size] OR the full Plitt geometry (cyclone_diameter_m, inlet_diameter_m, vortex_finder_m, apex_m, vortex_height_m [m]); sharpness [default 2.5], water_recovery [R_f to underflow, default 0.30], solid_density_kg_m3 [default 2650], molar_mass [kg/mol]. Slurry (solid + water inlets) -> coarse underflow + fine overflow (Plitt reduced-efficiency partition + water short-circuit).

Example flowsheets that use it