Diffusion Through a Porous Medium

  • William Strieder
  • Rutherford Aris
Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 24)


The principal object of this chapter is the estimation of the effective diffusion coefficient D e of a solute in a gaseous or liquid mixture when the mixture is in the presence of a suspended solid phase. Bounds on D e are calculated for an isotropic suspension whose only known statistical property is the void fraction, these are rigorously shown to be the “best possible bounds” that can be obtained with such limited information. Improved upper bounds on D e are obtained when an explicit model pore structure is generated from randomly overlapping, solid spheres.


Porous Medium Void Fraction Trial Function Effective Diffusion Coefficient Solid Sphere 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1973

Authors and Affiliations

  • William Strieder
    • 1
  • Rutherford Aris
    • 2
  1. 1.Department of Chemical EngineeringUniversity of Notre DameNotre DameUSA
  2. 2.Department of Chemical Engineering and Materials ScienceUniversity of MinnesotaMinneapolisUSA

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