Review on some Stefan Problems for Particle Dissolution in Solid Metallic Alloys

• Main Authors: F. J. Vermolen, C. Vuik, E., S. van der Zwaag
• Format: Article
• Language: English
• Published: Vilnius University Press 2005-07-01
• Series: Nonlinear Analysis
• Subjects: particle dissolution; Stefan problem; diffusion; moving grid method; level-set method
• Online Access: http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15124

This paper is a review of a suite of mathematical models of increasing complexity on particle dissolution in metallic alloys. This work deals with models for multi-component particle dissolution in multi-component alloys, where various chemical species diffuse simultaneously, and a two-dimensional model incorporating interfacial reactions as in the model of Nolfi [1]. The work is mathematically rigorous where asymptotic solutions and solution bounds are derived but is also of a practical nature as particle dissolution kinetics is modelled for industrially relevant conditions.