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

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## 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 ratio*l/a* where*l* is the length of the pore and*a* 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