WIAS Preprint No. 1437, (2009)

A model of an electrochemical flow cell with porous layer


  • Ehrhardt, Matthias
  • Fuhrmann, Jürgen
    ORCID: 0000-0003-4432-2434
  • Linke, Alexander
    ORCID: 0000-0002-0165-2698

2010 Mathematics Subject Classification

  • 65N99 35K20


  • limiting current, finite volume method, boundary layer, fluid-porous interface problem


In this paper we discuss three different mathematical models for fluid-porous interfaces in a simple channel geometry that appears e.g. in thin-layer channel flow cells. Here the difficulties arise from the possibly different orders of the corresponding differential operators in the different domains. A finite volume discretization of this model allows to calculate the limiting current of the H_2 oxidation in a porous electrode with platinum catalyst particles.

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