Hydraulic Permeability

The hydraulic permeability of a membrane is the inverse of the fluid resistance normalized to the membrane area.

Experimentally it is found with

\epsilon = \frac{Q}{\Delta P \, A_m}

Where Q is the measured flow rate, \Delta P is the pressure drop across the membrane and A_m is the membrane area.

It can be calculated from membrane properties with

\epsilon = \frac{\phi }{A_p \, R_f }

Where R_f is the fluid resistance of a pore (Hagen Pousille or Dagen), A_p is the area of a pore and \phi is the porosity.

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