β Scribed by S.K. Rangarajan
No coin nor oath required. For personal study only.
This paper presents an analytical solution to the problem of transient behaviour of flooded porous electrodes under galvanostatic and sinusoidal perturbations.
All the three types of dynamic polarisation: ohmic, activation and concentration, are considered but the treatment is limited by the idealised model assumed for the porous body. The results given here are therefore valid for what can be termed as "homogeneous, mono-pore models". For an actual matrix, a proper averaging, taking into account the distribution of pore lengths, can be resorted to. In spite of such limitations, a transient analysis of ohmic, concentration and double-layer effects is needed because (i) the devices employing porous electrodes are varied in nature and their operating conditions are widely different, (ii) basic researches with mono-tubular electrodes can be very useful in understanding (the significance of certain non-dimensional parametric groups on) the performance of a "real" porous matrix and (iii) the transient studies provide a method for the evaluation of some of the so-called "effective" parameters.
* This exception is to be qualified by the remarks of Grens 1! and Tobias, ref. 5. ** It is conceded that, ultimately, numerical analysis may be needed for inversion of Laplace Transformation or for computing the equivalent circuit elements, but this is a trivial exception. For standard procedures for inverting, see refs. 9 and 10.
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