Effects of non-planar geometries and volumetric expansion in the modeling of oxidation in titanium
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Development of a model for oxidation of titanium based upon diffusion of oxygen in the oxide is presented in this work. Equations describing motion of the oxygen-oxide and metal-oxide interfaces are derived using jump mass balance. The volumetric expansion of the oxide and its impact on the motion of interfaces is fully accounted for. An analytical solution is obtained for the case of one-dimensional planar oxidation and is used to estimate the diffusion coefficient of oxygen into titanium dioxide. Numerical results are presented for the cases of oxidation on the surface of a cylinder, oxidation of a cylindrical hole and oxidation of a sphere and comparisons are made with experimental data.