Abstract

A growth model is presented to simulate pit formation in pitting corrosion in three dimensions. The pit growth model is described in terms of the anti-diffusion-limited aggregation (anti-DLA) model. Computer simulation is performed to study the scaling structure of a single pit in pitting corrosion. It is found that the bird's-eye view of the corrosion pit profile shows a compact structure having a fractal surface. The fractal dimension D of the surface of the bird's-eye profile of the corrosion pit is given by D =1.168. It is also found that the width and depth of the corrosion pit show a scaling form. The width w and depth h of the pit scale as w ≈ n 0.39±0.04 and h ≈ n 0.28±0.04 where n is the particle number removed from metal. The width w against depth h scales as w ≈ h 1.39±0.05 .

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