The effect of ionic dissociation and recombination on the relaxation of charge in low dielectric constant fluids
โ Scribed by J. Gavis
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 811 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0009-2509
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โฆ Synopsis
Ah&act-The equation of charge transport, in the absence, of diffusion and convection, but with finite rates of ionic dissociation and recombination taken into account, is developed and solved for a system in which a uniformly charged low dielectric constant fluid is allowed to relax its charge at its boundaries. Solutions are given in analytic form for certain physically possible sttuations; but, in general, numerical solution of the highly non-linear ODE must be resorted to. When the positive. and negative ions have similar diffusivities (or mobilities), the rates of relaxation are not very dependent upon the dissociation and recombination rates unless the time for ion equilibration is large compared with the relaxation time of the uncharged fluid. If the fluid contains positive charge, the relaxation rate is but little affected by differences in ion ditfusivities when the diffusivity of the positive ion is greater than that of the negative ion. If the negative ion ditfusivity is greater, however, the rate of 'relaxation is much slowed when the charge density is large and the ion equilibration time is small compared with the relaxation time of the uncharged fluid.
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