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Electrodiffusion diagnostics of laminar flows using the delay-time method

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Abstract

Electrodiffusion diagnostics are widely used for measurement of local wall shear stresses in liquid flows. At present, this method requires special electrolytes, so the applications are limited to laboratory conditions. Another problem concerns the dependence of the limiting diffusion current on the electrode surface state and on the bulk concentration of the electroactive species. In this paper, it is shown that the delay time between generation of the electroactive species and their detection on the downstream electrode, is directly related to the local wall shear stress value. Thus, the measurements of the delay-time open a new way for the study of near-wall hydrodynamics. This new method has been confirmed experimentally using an electrolyte containing the conventional hexacyanoferrate(III/II) redox couple, as well as with the chlorine (chloric(I))/chloride couple in an electrolyte similar to seawater.

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Abbreviations

c :

Electroactive species concentration, mol m−3

c 0 :

Bulk concentration of electroactive species, mol m−3

D :

molecular diffusion coefficient, m2 s−1

E G, E :

Electric potentials of electrode, V

I :

Electric current, A

S :

Microelectrode surface, m2

T :

Electrolyte temperature, °C

V :

Flow velocity in longitudinal (×) direction, m s−1

x :

Flow direction, m

y :

Normal to the wall direction, m

t :

Time, s

d :

Electrode length in flow direction, m

h :

Electrode width in transversal (z) direction, m

l :

Distance between generator and detector electrodes, m

j 0 :

Mass flux density on the surface of generator electrode, mol m−2 s−1

y eff = (Dlμ/τ w)1/3 :

Effective diffusion length in normal to the wall direction, m

μ:

Dynamic viscosity, kg m−1 s−1

ν:

Kinematic viscosity, m2 s−1

ρ:

Electrolyte density, kg m−3

τ d :

Delay time, s

τ x :

Convective time, s

τ y :

Diffusion time, s

τ *  = y 2 eff/D :

Characteristic time, s

τ w :

Wall shear stress, Pa

ζ = d/l :

Dimensionless geometrical parameter of the electrode system

w:

Wall or electrode surface

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Acknowledgement

The authors warmly thank Professor A. A. Wragg for his help scientifically and with editing during preparation of articles for Journal of Applied Electrochemistry. Over many years, this help has been very important for the improvement of our papers.

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Authors and Affiliations

  1. Laboratory of Heat Studies—LET UMR CNRS N 6608, ESIP, University of Poitiers, France, 40, avenue du Recteur Pineau, 86022, Poitiers, France

    S. Martemianov & X. Adolphe

  2. Kazan State Technical University named after A.N. Tupolev, K.Marx Str., 10, 420111, Kazan, Russia

    Yu. K. Evdokimov

Authors
  1. S. Martemianov
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  2. Yu. K. Evdokimov
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  3. X. Adolphe
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Correspondence to S. Martemianov.

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Martemianov, S., Evdokimov, Y.K. & Adolphe, X. Electrodiffusion diagnostics of laminar flows using the delay-time method. J Appl Electrochem 37, 1321–1328 (2007). https://doi.org/10.1007/s10800-007-9385-2

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  • DOI: https://doi.org/10.1007/s10800-007-9385-2

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