Filter simulation

solid + liquor inlets -> cake + filtrate

Governing equations

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

$R$

solids recovery to the cake [0..1]

$\dot n_s$

solids molar flow [mol/s]

$\dot n_{liq,ret}$

liquid retained in the cake [mol/s]

$m$

cake moisture fraction — retained liquid over total cake

$A$

filter area [m²]

$Q_f$

feed volumetric flow [m³/s]

$\mu$

filtrate viscosity [Pa·s]

$\alpha$

specific cake resistance [m/kg] — the property that decides how much area you need

$c$

solids concentration [kg/m³]

$t_c$

cycle time [s]

$\Delta P$

filtration pressure drop [Pa]

Parameters

solids_recovery [0..1, default 0.98], cake_moisture [0..1 liquid fraction of cake, default 0.2]; sizing: alpha [m/kg cake resistance], dp [Pa], cycle_time [s], viscosity

Example flowsheets that use it