Development and Verification of Numerical Model for Diffusion of Nitrogen in Titanium Based On Finite Difference Method

"Nitrogen rich Ti-N inclusions are one of the more difficult inclusions to remove during liquid metal refining of titanium. If present in the final component, they can significantly decrease the mechanical performance of titanium and its alloys in applications involving cyclic loading. Understanding the kinetics of dissolution of Ti-N particles during consolidation/melting of titanium can help us better operate and design the melting processes to minimize their occurrence in Premium Quality Titanium production. A numerical model based on finite difference method has been developed to calculate the dissolution of a spherical Ti-N particles in molten titanium. Analytical solutions were used to verify the finite difference code for calculation of concentration profile and the dissolution of spherical solids. Taking into account the limitations in these approaches for the different cases examined, the invariant field approximation showed good agreement with the results from the numerical analysis. Evolution of the size of a spherical Ti-N particle during dissolution was predicted by the numerical model and the particle dissolves in 163 s.INTRODUCTION Properties like low density, high specific strength and excellent corrosion resistance make titanium attractive for a variety of applications. Key characteristics in the processing of titanium and its alloys include its high sensitivity to impurities, especially atmospheric oxygen and nitrogen and its high reactivity in the molten state. Nitrogen rich inclusions Ti-N, also known as Type ? or hard alpha defects, usually have substantially higher hardness and lower ductility than the surrounding material. Because they can act as fatigue initiation sites, Ti-N inclusions can significantly decrease the mechanical performance of titanium and its alloys in applications involving cyclic loading, even in minor amounts (tenth of a percent) (Lampman, 1990; Moiseyev, 2005; Lütjering & Williams, 2007). Ti-N encompasses as a broad range of nitrogen contents from a few wt% up to stoichiometric TiN. The liquidus temperature of Ti-N titanium increases substantially with increasing nitrogen content. Consequently, depending on the concentration of nitrogen, the melting point of Ti-N inclusions can be above bulk liquid metal temperatures during melt processing. Thus, removal of Ti-N defects hinges on dissolution and not melting."