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

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An Erratum to this article was published on 01 September 1965

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.

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Authors and Affiliations

  1. Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, College Park, Maryland

    R. B. Kelman

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  1. R. B. Kelman
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Additional information

This research was supported in part by Contract Nonr 595(17), Office of Naval Research, U.S. Navy.

An erratum to this article is available at http://dx.doi.org/10.1007/BF02478412.

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Kelman, R.B. Steady-state diffusion through a finite pore into an infinite reservoir: An exact solution. Bulletin of Mathematical Biophysics 27, 57–65 (1965). https://doi.org/10.1007/BF02476468

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  • DOI: https://doi.org/10.1007/BF02476468

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