Tarnishing of metal surfaces
Input(s)
\(D_{O 2_{M O x}}\): Diffusivity \(\left(\mathrm{cm}^{2} / \mathrm{s}\right)\)
\(\mathrm{t}\): Time (s)
\(\mathrm{x}\): Mole Fraction of Oxygen (dimensionless)
\(c_{\mathrm{o}}\): Solubility of Oxygen \((\mathrm{g} / \mathrm{cc})\)
\(\mathrm{c}_{\mathrm{f}}\): Molar Density of the Film \((\mathrm{g} \mathrm{mol} / \mathrm{cc})\)
Output(s)
\(z_{f}\): Thickness of Film \((\mathrm{cm})\)
Formula(s)
\[
\mathrm{z}_{\mathrm{f}}=\left(\left(\frac{2 * \mathrm{D}_{\mathrm{O} 2_{\mathrm{MOx}}} * \mathrm{t} * \mathrm{c}_{\mathrm{o}}}{\mathrm{x} * \mathrm{c}_{\mathrm{f}}}\right)^{0.5}\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 18, Page: 576.