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The performance of porous and gauze electrodes in electrolysis with parabolic velocity distribution

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Abstract

An approximate numerical method for the estimation of the velocity exponent in (small-scale) flow-through porous and gauze electrodes is presented. The method can also be employed to determine if a plug-flow or a parabolic-flow model offers a more reliable representation of the experimental behaviour of the electrode.

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Abbreviations

a :

cross sectional area of the electrode

B :

integration parameter (Equations 7 and 8)

c :

exit active ion concentration,\(\bar c\) its mean measured value in the case of parabolic flow,c o its inlet value;c m its mean value;\(\overline {c_m }\) its mean calculated value in the case of parabolic flow;c * dimensionless concentration, equal toc/c o;\(\overline {c^* }\) mean dimensionless concentration, equal to ⊸/c o

F :

Faraday's constant

i L :

mean limiting current density (geometric-area base)

j :

proportionality factor (Equation 1)

k m :

mass transport coefficient,\(\overline {k_m }\) its mean value

L :

length of the electrode

n :

number of electrons involved in the electrode reaction

N :

ionic flux

r :

radial coordinate

R E :

geometric radius

R :

limiting degree of conversion

s :

specific surface area of the electrode (surface per volume)

u :

linear solution velocity; uo its maximum (centreline) value; ū its mean value (ū=uo/2)

v :

volumetric flow rate;\(\bar v\) its mean value

x :

transform variable forz

z :

dimensionless radial distance

α:

velocity exponent for mass transport (Equation 1)

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Author notes

  1. Roman E. Sioda

    Present address: Institute of Industrial Chemistry, ul Rydygiera 8, 01-793, Warszawa, Poland

Authors and Affiliations

  1. Department of Chemistry, University of Rhode Island, 02881-0801, Kingston, Rhode Island, USA

    Roman E. Sioda

  2. Department of Chemical Engineering, University of Waterloo, N2L 3G1, Waterloo, ON, Canada

    Thomas Z. Fahidy

Authors
  1. Roman E. Sioda
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  2. Thomas Z. Fahidy
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Sioda, R.E., Fahidy, T.Z. The performance of porous and gauze electrodes in electrolysis with parabolic velocity distribution. J Appl Electrochem 18, 853–856 (1988). https://doi.org/10.1007/BF01016041

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  • DOI: https://doi.org/10.1007/BF01016041

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