WIAS Preprint No. 1301, (2008)

Experimental and numerical model study of the limiting current in a channel flow cell with a circular electrode


  • Fuhrmann, Jürgen
    ORCID: 0000-0003-4432-2434
  • Zhao, Hong
  • Holzbecher, Ekkehard
  • Langmach, Hartmut
  • Chojak, Malgorzata
  • Halseid, Rune
  • Jusys, Zenonas
  • Behm, Rolf Jürgen

2010 Mathematics Subject Classification

  • 35K20 65N99


  • limiting current, Finite Volume Method, boundary layer, parameter estimation




We describe first measurement in a novel thin-layer channel flow cell designed for the investigation of heterogeneous electrocatalysis on porous catalysts. For the interpretation of the measurements, a macroscopic model for coupled species transport and reaction, which can be solved numerically, is feasible. In this paper, we focus on the limiting current. We compare numerical solutions of a macroscopic model to a generalization of a Leveque-type asymptotic estimate for circular electrodes, and to measurements obtained in the aforementioned flow cell. We establish, that on properly aligned meshes, the numerical method reproduces the asymptotic estimate. Furthermore, we demonstrate, that the measurements are partially performed in the sub-asymptotic regime, in which the boundary layer thickness exceeds the cell height. Using the inlet concentration and the diffusion coefficient from literature, we overestimate the limiting current. On the other hand, the use of fitted parameters leads to perfect agreement between model and experiment.

Appeared in

  • Phys. Chem. Chem. Phys., 10 (2008) pp. 3784--3795.

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