Mathematical models for particle dissolution in metallic alloys

Report (2002)

Authors

F.J. Vermolen

C. Vuik

S. Van der Zwaag

Faculty

Electrical Engineering, Mathematics and Computer Science () (TU Delft)

Diffusion Particle dissolution Multi-component alloy Vector-valued Stefan problem, self-similar solution

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Published Date

2002

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Reports of the Department of Applied Mathematical Analysis, 02-11

Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

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.

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