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Frequency response of electrochemical sensors to hydrodynamic fluctuations

Published online by Cambridge University Press:  26 April 2006

C. Deslouis ,
O. Gil  and
B. Tribollet
C. Deslouis
Affiliation:
LP15 du CNRS Physique des Liquides et Electrochimie, Laboratoire de l'Université Pierre et Marie Curie. Tour 22, 4 place Jussieu, 75252 Paris Cedex 05, France
O. Gil
Affiliation:
LP15 du CNRS Physique des Liquides et Electrochimie, Laboratoire de l'Université Pierre et Marie Curie. Tour 22, 4 place Jussieu, 75252 Paris Cedex 05, France
B. Tribollet
Affiliation:
LP15 du CNRS Physique des Liquides et Electrochimie, Laboratoire de l'Université Pierre et Marie Curie. Tour 22, 4 place Jussieu, 75252 Paris Cedex 05, France
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Abstract

The response of mass transfer to a small mass sink to hydrodynamic fluctuations in the concentration boundary layer has been calculated as a function of frequency. The dimensionless local flux was expressed as a series expansion of the dimensionless local diffusion layer thickness η and the dimensionless local characteristic frequency ξ in the low frequency range, and as the asymptotic power law $\xi^{-\frac{1}{3}}$, in the high frequency range. The two solutions were shown to overlap fairly well for 6 [les ] ξ [les ] 13. The overall transfer function over the whole mass sink area involves a spatial distribution for which the low-frequency approximation applies at the upstream end and the high-frequency approximation applies downstream. The average response at frequency f varies as f−1.

These theoretical predictions were tested electrochemically by using a rotating disk. The modulated limiting diffusion current due to a fast redox reaction at small circular microelectrodes embedded in the disk was measured as a function of the frequency of the modulation of the disk angular velocity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 215 , June 1990 , pp. 85 - 100
Copyright
© 1990 Cambridge University Press

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