Abstract
The secondary current distribution in an electrochemical stack with one bipolar electrode was experimentally determined and compared with the theoretical prediction according to the Laplace equation. A close agreement between both results is reported. The parameters acting upon the current distribution were lumped into a dimensionless variable, called the bipolar Wagner number, and its effect on the current distribution and predictive suitability of the theoretical treatment is discussed.
Similar content being viewed by others
Abbreviations
- a i :
-
Constants in Eq. 9
- A :
-
Transverse section of the electrolyte manifold (m2)
- b i :
-
Tafel slope of the ith reaction (V)
- d r :
-
Mean relative deviation given by Eq. 16 (%)
- D :
-
Weighting factor in Eq. 11
- E 0 :
-
Reversible electrode potential (V)
- G :
-
Length of the electrolyte manifold (m)
- h :
-
Distance between two nodes in the potential grid (m)
- j i,k :
-
Current density of the ith reaction (i = a or c) at the kth electrode (k = A, B or C) (A m−2)
- j mean :
-
Mean current density (A m−2)
- j 0 :
-
Exchange current density (A m−2)
- I :
-
Total current (A)
- I*:
-
Leakage current (A)
- I B :
-
Total current at the bipolar electrode (A)
- L :
-
Electrode length (m)
- n :
-
Number of bipolar electrodes
- N :
-
Number of experimental values in Eq. 16
- R :
-
By-pass resistance (Ω)
- Tol:
-
Tolerance of the calculation
- U :
-
Applied voltage to the reactor (V)
- U 0 :
-
Reversible cell voltage (V)
- W :
-
Electrode width (m)
- WaBi :
-
Bipolar Wagner number
- x :
-
Axial coordinate (m)
- y :
-
Axial coordinate (m)
- η :
-
Overpotential (V)
- ρ :
-
Electrolyte resistivity (Ω m)
- σ :
-
Standard deviation
- ϕ :
-
Potential (V)
- ϕ 0 :
-
Potential in the solution phase adjacent to an electrode surface (V)
- a :
-
Anodic reaction
- c :
-
Cathodic reaction
- exp:
-
Experimental value
- m:
-
Metal phase
- s:
-
Solution phase
- th:
-
Theoretical value
- A:
-
Terminal anode
- Bk :
-
kth bipolar electrode
- C:
-
Terminal cathode
- r :
-
iteration number
References
Henquín ER, Bisang JM (2005) J Appl Electrochem 35:1183
Henquín ER, Bisang JM (2007) J Appl Electrochem 37:877
Jupudi RS, Zappi G, Bourgeois R (2007) J Appl Electrochem 37:921
Kodým R, Bouzek K, Šnita D, Thonstad J (2007) J Appl Electrochem 37:1303
Kodým R, Bouzek K, Bergmann H (2007) 58th ISE Annual Meeting
Prentice GA, Tobias CW (1982) AIChE J 28:486
Tilak BV, Lu PWT, Colman JE, Srinivasan S (1981) In: Bockris JO’M, Conway BE, Yeager E, White RE (eds) Comprehensive treatise of electrochemistry, vol 2, ch 1. Plenum Press, New York
Bisang JM (1991) J Appl Electrochem 21:760
Acknowledgements
This work was supported by Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET) and Universidad Nacional del Litoral (UNL) of Argentina.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Henquín, E.R., Bisang, J.M. Effect of leakage currents on the secondary current distribution in bipolar electrochemical reactors. J Appl Electrochem 38, 1259–1267 (2008). https://doi.org/10.1007/s10800-008-9550-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10800-008-9550-2