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Ohmic drops in the ion-exchange bed of cationic electrodeionisation cells

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Abstract

The work was aimed at investigating the ohmic drop in ion-exchanging resin beds in EDI cells, by using two techniques. The case of CuSO4–H2SO4 solutions was treated here, using Dowex resins of various degrees of cross-linking. Impedance measurements in a dedicated cell filled with resin packed beds were interpreted by using a model for the conductivity of two-phase media. Secondly, the voltage recorded in a small EDI cell for continuous treatment of copper solutions, led to the bed conductivity, using a model for potential distribution in the cell. The consistency of the two techniques was discussed, and side electrical phenomena in the EDI cell were shown to be the source of an unexpectedly significant increase in the cell voltage.

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Abbreviations

a :

parameter in Wyllie’s model

b :

parameter in Wyllie’s model

c :

parameter in Wyllie’s model

d :

parameter in Wyllie’s model

d b :

width of the bed (m)

d e :

width of the electrode chamber (m)

e :

parameter in Wyllie’s model

I :

current (A)

L :

electrode gap in the conductivity cell (m)

l b :

height of the ion exchange resin bed (m)

l e :

electrode length in the EDI cell (m)

R :

resistance (Ω)

R b :

resistance of the bed (Ω)

S :

cross-sectional area (m2)

U cell :

cell voltage (V)

U ohm :

ohmic drop (V)

U 0 :

equilibrium cell voltage (V)

w :

depth of the cell (m)

x :

coordinate, along the current

y :

coordinate, normal to the current

η:

overvoltage (V)

κ:

electrical conductivity of the liquid (S m−1, or mS cm−1)

κe :

conductivity of the sulphuric solution (S m−1, or mS cm−1)

\(\overline{\kappa}\) :

electrical conductivity of the solid (S m−1, or mS cm−1)

κb :

electrical conductivity of the bed (S m−1, or mS cm−1)

Φ:

potential (V)

Φcell :

Potential difference in the cell, used for primary distributions (V)

a:

anode

av:

average

b:

bed

c:

cathode

e:

electrode

in:

inlet conditions

out:

outlet conditions

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Correspondence to François Lapicque.

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Mahmoud, A., Muhr, L., Grévillot, G. et al. Ohmic drops in the ion-exchange bed of cationic electrodeionisation cells. J Appl Electrochem 36, 277–285 (2006). https://doi.org/10.1007/s10800-005-9081-z

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  • DOI: https://doi.org/10.1007/s10800-005-9081-z

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