Abstract
A cylindrical electrochemical cell with axial flow in the annulus, formed by the inner indifferent anode tube and the outer cathode tube, is analysed in terms of various reactor models. One alternative characterization, the radial dispersion model, allows the estimation of an apparent radial dispersion on the basis of experimental conversion data.
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Abbreviations
- a :
-
ratio of the inner electrode radius to the outer electrode radius
- c :
-
active ion concentration;c o same in bulk
- d e :
-
equivalent (or hydraulic) diameter
- D i :
-
ionic diffusion coefficient
- D r :
-
radial dispersion coefficient
- F :
-
Faraday's constant
- i z :
-
current density distribution along the cathode
- J n :
-
Bessel function of the first kind, ordern
- I :
-
current flow between the electrodes;I m its mean value
- L :
-
length of the cathode
- n :
-
number of electrons transferred in the cathode reaction
- p :
-
eigenvalue set in the Annular Hankel Transform
- Q :
-
volumetric flow rate of electrolyte
- r :
-
radius
- R i :
-
radius of the inner electrode (anode)
- R o :
-
radius of the outer electrode (cathode)
- (Re):
-
Reynolds number (characteristic length: hydraulic diameter)
- S :
-
dimensionless radius,r/R o
- S i :
-
stoichiometric number
- (Sc):
-
Schmidt number
- u m :
-
mean value of electrolyte linear velocity
- x :
-
conversion, defined as (c o-c)/c 0;x E average exit conversion;xE:x E computed from a regression line;xw conversion at the cathode tube
- y :
-
dimensionless axial variable,z/L
- Y n :
-
Bessel function of the second kind, ordern
- z :
-
axial coordinate
- α :
-
degree of dissociation
- β :
-
lumped parameter in radial dispersion model
- τ :
-
geometric-aspect parameter in annulus flow theory
- τ :
-
electrolyte residence time in cell
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Fahidy, T.Z. Electrolysis in an annular flow cell with gas generation. J Appl Electrochem 9, 101–108 (1979). https://doi.org/10.1007/BF00620591
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DOI: https://doi.org/10.1007/BF00620591