VARIATIONS IN THE FLOW OF CURRENT TO DISK ELECTRODES CAUSED BY PARTICLES

Citation
J. Fransaer et al., VARIATIONS IN THE FLOW OF CURRENT TO DISK ELECTRODES CAUSED BY PARTICLES, Journal of electroanalytical chemistry [1992], 391(1-2), 1995, pp. 11-28
Citations number
28
Categorie Soggetti
Electrochemistry,"Chemistry Analytical
Journal title
Journal of electroanalytical chemistry [1992]
ISSN journal
15726657 → ACNP
Volume
391
Issue
1-2
Year of publication
1995
Pages
11 - 28
Database
ISI
SICI code
Abstract
The first exact solution of the flow of current in a semi-infinite ele ctrolyte bounded by an insulating plane to a finite number of disk ele ctrodes embedded in the plane, when the electrolyte contains a number of spherical or prolate particles, is presented. The method is based o n the addition of fundamental solutions of the Laplace equation which conform to the particular geometry of the electrodes and particles. A solution is obtained through the boundary collocation technique. The a ccuracy and convergence of the method were tested by a detailed analys is of the flow of current in the case of a spherical particle located in front of a disk electrode. The model was used to study the resistan ce variations of the flow of current to a single electrode induced by particles and, in the absence of particles, the ohmic and concentratio n interactions of multiple electrodes. Through the solution of the bou ndary value problem governing the flow of current to a set of electrod es in the presence of particles, the inverse problem is also solved, i .e. an algorithm is developed which finds the position of a particle b ased on the currents flowing to a set of electrodes. The performance a nd robustness of this algorithm are illustrated using synthetic data. The algorithm allows the tracking of individual particles, enabling in formation on the presence, velocity and residence time of particles in the vicinity of surfaces to be obtained from recordings of fluctuatio ns of the electrolyte resistance with time.