Constant Rate Filtration
where: V is filtrate volume (m3), is filtrate viscosity (Pa s), A is filter area (m2), is pressure drop over cake AND filter medium (Pa), Rm is filter medium resistance (m-1), is average specific resistance (m kg-1), and is average dry cake mass per unit volume filtrate (kg m-3). See the next slides for discussion on these last two terms.
i.e. dV/dt = q, the filtrate rate (m3 s-1), and