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Chemical and Biological Engineering Conference Presentations and Proceedings

Laplace's equations

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Model For The Steady-State Growth Of Porous Anodic Alumina Films, Jerrod E. Houser, Kurt R. Hebert Jan 2006

Model For The Steady-State Growth Of Porous Anodic Alumina Films, Jerrod E. Houser, Kurt R. Hebert

Chemical and Biological Engineering Conference Presentations and Proceedings

Simulations were developed for the distributions of electrical potential and incorporated anions in porous anodic alumina (PAA) films during steady-state growth. Predictions of a model for the potential distribution based on Laplace's equation were compared to those of the current continuity equation in conjunction with high-field conduction. It was found that Laplace's equation, which has been used previously in PAA models, resulted in strong violations of charge conservation, when the current density was evaluated using the high field conduction equation. Interface motion predicted by the current continuity equation was nearly uniform except near convex ridges on the metal-film ...