Chemical filtration modeling

  • Avner Friedman
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 83)


When a chemical solution of uniform and time-independent concentration is introduced at the inlet of a filter, an initially sharp concentration front begins to migrate through the filter due to advection, and simultaneously spread due to diffusion. When the filter is packed with particles that effectively absorb the dissolved solute, the rate of migration of the front may be orders of magnitude smaller than the solvent flow rate. It is then possible to pass large volumes of solution through the filter without appreciable solute exiting the outlet; the solute introduced at the inlet is held within the filter by the absorbing particles. This phenomenon is the fundamental basis of chemical-separation technology.


Target Species Dimensionless Time Inlet Concentration Outlet Concentration Dimensionless Concentration 
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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Avner Friedman
    • 1
  1. 1.Institute for Mathematics and its ApplicationsUniversity of MinnesotaMinneapolisUSA

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