Skip to main content
Log in

On the measuring of diffusion coefficients of solid materials

  • Brief Reports
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Abstract

Instead of a circular cylindric sample of the material, which is used in a common method of measuring diffusion coefficients of solid materials, we propose to use a box shaped sample. The associated diffusion problem is solvable by means of conformal mapping. The solution is given.

Zusammenfassung

Statt einer zirkulärzylindrischen Stoffprobe, die bei einem Verfahren zur Messung von Diffusionskoeffizienten der Feststoffe verwendet wird, schlagen wir die Anwendung einer rechteckigen Parallelepipedon vor. Die assoziierten Diffusionsprobleme sind mittels konformer Abbildung lösbar. Die Lösung wird gegeben.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. M. Barrer, J. A. Barrie, and M. G. Rogers,Permeation through a membrane with mixed boundary conditions, Faraday Soc. Trans58, 2473–2483 (1962).

    Google Scholar 

  2. E. B. Hansen,On a method of measuring diffusion coefficients of solid materials, Z. angew. Math. Phys.29, 977–982 (1978).

    Google Scholar 

  3. M. Abramowitz and I. A. Stegun,Handbook of mathematical functions, Dover Publ., New York 1970, Chapt. 16 and 17.

    Google Scholar 

  4. M. A. Lawrentjew and B. W. Schabat,Methoden der komplexen Funktionstheorie, VEB Deutscher Verlag der Wissenschaften, Berlin 1967.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Larsen, J. On the measuring of diffusion coefficients of solid materials. Z. angew. Math. Phys. 32, 229–233 (1981). https://doi.org/10.1007/BF00946750

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00946750

Keywords

Navigation