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Journal of Applied Electrochemistry

, Volume 36, Issue 3, pp 277–285 | Cite as

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

  • Akrama Mahmoud
  • Laurence Muhr
  • Georges Grévillot
  • Gérard Valentin
  • François Lapicque
Article

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.

Keywords

electrodeionisation ion exchange resins electrical conductivity copper sulphate 

Abbreviation

Symbols

a

parameter in Wyllie’s model

b

parameter in Wyllie’s model

c

parameter in Wyllie’s model

d

parameter in Wyllie’s model

db

width of the bed (m)

de

width of the electrode chamber (m)

e

parameter in Wyllie’s model

I

current (A)

L

electrode gap in the conductivity cell (m)

lb

height of the ion exchange resin bed (m)

le

electrode length in the EDI cell (m)

R

resistance (Ω)

Rb

resistance of the bed (Ω)

S

cross-sectional area (m2)

Ucell

cell voltage (V)

Uohm

ohmic drop (V)

U0

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)

Subscripts

a

anode

av

average

b

bed

c

cathode

e

electrode

in

inlet conditions

out

outlet conditions

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References

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • Akrama Mahmoud
    • 1
  • Laurence Muhr
    • 1
  • Georges Grévillot
    • 1
  • Gérard Valentin
    • 1
  • François Lapicque
    • 1
  1. 1.Laboratoire des Sciences du Génie ChimiqueCNRS-ENSICNancyFrance

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