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...
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2004
|
| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/127446 https://pubs.acs.org/doi/full/10.1021/jp0480549 |
| Aporte de: |
| Sumario: | 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. |
|---|