Comparative analysis of linear and nonlinear models for ion transport problem in chronoamperometry |
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Authors: | Alemdar Hasanov Şafak Hasanoglu |
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Institution: | 1.Department of Mathematics, Faculty Art and Sciences,Kocaeli University,Izmit,Turkey;2.Chemical-Engineering Division,K?sek?y High School, Kocaeli University,Izmit,Turkey |
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Abstract: | Ion transport problem related to controlled potential experiments in electrochemistry is studied. The problem is assumed to
be superposition of diffusion and migration under the influence of an electric field. The comparative analysis are presented
for three well-known models—pure diffusive (Cottrell’s), linear diffusion-migration, and nonlinear diffusion-migration (Cohn’s)
models. The nonlinear model is derived by the identification problem for a nonlinear parabolic equation with nonlocal additional
condition. This problem reduced to an initial-boundary value problem for nonlinear parabolic equation. The nonlinear finite
difference approximation of this problem, with an appropriate iteration algorithm is derived. The comparative numerical analysis
for all three models shows an influence of the nonlinear migration term, the valences of oxidized and reduced oxidized species,
also diffusivity to the value of the total charge. The obtained results permits one to estimate bounds of linear and nonlinear
ion transport models. |
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Keywords: | Ion transport Cottrell’ s model Cohn’ s model Nonlinear parabolic problem Current response Iteration scheme |
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