Steady-state diffusion through a finite pore into an infinite reservoir: An exact solution

  • R. B. Kelman
Article

Abstract

An outline is given of an analysis that leads to an exact solution for the problem of steady-state diffusion through a finite thick pore into an infinite region surrounding the mouth of the pore. From this exact formula a simple expression for the flux is derived. This expression approximates the flux with a relative error of less than 3.42 per cent independently of the ratiol/a wherel is the length of the pore anda its radius. If desired, more accurate expressions for the flux can be obtained from the exact solution.

Keywords

Dual Integral Equation Longitudinal Diffusion Infinite Region Infinite Reservoir Axisymmetric Boundary 

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Copyright information

© N. Rashevsky 1965

Authors and Affiliations

  • R. B. Kelman
    • 1
  1. 1.Institute for Fluid Dynamics and Applied MathematicsUniversity of MarylandCollege Park

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