Skip to main content
SpringerLink
Log in

A diffusion problem with chemical reaction

  • Published:
Applied Scientific Research, Section A Aims and scope Submit manuscript

Summary

A substance is subjected to cylindrical Poiseuille flow, diffusion and a chemical reaction. In this paper the stationary state will be considered. It is assumed that the axial component of the diffusion can be neglected. Then the problem can be reduced to an eigenvalue problem determining an orthogonal set of eigenfunctions. Also a simplified model will be considered where the cylindrical wall is replaced by a flat wall. This problem can be solved by means of Laplace transformation. An explicit solution for the concentration at the wall has been obtained.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Reference

  1. Lauwerier, H. A., Appl. Sci. Res. A2 (1950) 184.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisch Centrum, Amsterdam, Netherlands

    H. A. Lauwerier

Authors
  1. H. A. Lauwerier
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lauwerier, H.A. A diffusion problem with chemical reaction. Appl. sci. Res. 8, 366–376 (1959). https://doi.org/10.1007/BF00411762

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00411762

Keywords

Search

Navigation