Cross-flow Filtration - Flow Rate Calculation

Flow Rate Calculation

The flux or flow rate in cross-flow filtration systems is given by the equation:

in which:

  • : liquid flux
  • : transmembrane pressure (should also include effects of osmotic pressure for reverse osmosis membranes)
  • : Resistance of the membrane (related to overall porosity)
  • : Resistance of the cake (variable; related to membrane fouling)
  • : liquid viscosity

Note: and include the inverse of the membrane surface area in their derivation; thus, flux increases with increasing membrane area.

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