Abstract
This paper is concerned with mass transfer to a rotating disc electrode (RDE) under pulsed potential and pulsed current conditions. For the case of pulsed potential, a numerical solution is presented to calculate the instantaneous current density for intermediate and large cycle times and an asymptotic solution for short cycle times. The special case of applying a step potential is then presented. The magnitude of the step current for a given transition time is calculated from the numerical solution by Viswanathanet al. for the pulsed current case. Comparison is made between the present results and various approximate solutions from the literature.
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Abbreviations
- c :
-
concentration of reacting ion
- c i,c ∞ :
-
interfacial concentration and bulk concentration, respectively
- C :
-
dimensionless concentration defined in Equation 11
- C n,C n 1,C n 2 :
-
coefficients of an infinite series
- D :
-
diffusion coefficient of reacting ion
- F :
-
Faraday's constant
- i :
-
current density
- i ave :
-
average current density over the entire cycle
- (i dc)l :
-
d.c. limiting current density
- i step :
-
step current density
- K :
-
dimensionless velocity defined in Equation 11
- K n :
-
defined in Equation A5
- n :
-
number of electrons transferred
- R n :
-
dimensionless concentration as a function of ζ
- t :
-
time
- t n :
-
defined in Fig. 1
- t tr :
-
transition time
- v z :
-
axial velocity
- z :
-
axial co-ordinate
- α :
-
a dummy variable
- β n :
-
defined in Equation 20
- δ :
-
thickness of the Nernst diffusion layer
- ζ :
-
dimensionless axial co-ordinate defined in Equation 12
- λ n 1,λ n 2 :
-
eigenvalues
- μ n :
-
defined in Equation 29
- τ :
-
dimensionless time defined in Equation 12
- τ 1, τc, τtr :
-
dimensionless on-period, cycle period and transition time respectively
- Ψ :
-
a function of axial co-ordinate defined in Equation A4
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Viswanathan, K., Cheh, H.Y. The application of pulsed potential and pulsed current to a rotating disc electrode system. J Appl Electrochem 9, 537–543 (1979). https://doi.org/10.1007/BF00610939
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DOI: https://doi.org/10.1007/BF00610939