Solution of the Stefan Problem: Silver Electrodeposition under Mass Transfer Control : The Transition from Diffusion to Advection Regime
An analytical solution of Fick’s diffusion equation for the formation of a 2D solid-phase involving a growing front (Stefan problem) position changing at a constant linear velocity is proposed. This solution comprises a first diffusion term that includes an exponential correction factor, and a secon...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2004 |
| País: | Argentina |
| Recursos: | Universidad Nacional de La Plata |
| Repositorio: | SEDICI (UNLP) |
| Idioma: | inglés |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/127446 |
| Acesso em linha: | http://sedici.unlp.edu.ar/handle/10915/127446 |
| Access Level: | acceso abierto |
| Palavra-chave: | Ciencias Exactas Química Diffusion Electrodes Electrodeposition Silver |
| Resumo: | An analytical solution of Fick’s diffusion equation for the formation of a 2D solid-phase involving a growing front (Stefan problem) position changing at a constant linear velocity is proposed. This solution comprises a first diffusion term that includes an exponential correction factor, and a second constant advection term that depends on the front velocity, and it predicts a kinetic transition from a diffusion to an advection-dominated mass transfer control in going from t → 0 to → f ∞. The validity of the analytical solution is tested using potentiostatic cathodic current transient data for silver electrodeposition in a quasi-2D rectangular cell with an initially plane plate cathode. Theoretical and experimental data fulfill a dimensionless correlation after experimental data are properly corrected for the effective cathode area. |
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