Cross-diffusion controlled particle dissolution in metallic alloys

Authors:
F. J. Vermolen;C. Vuik;S. van der Zwaag
Affiliations:
Delft University of Technology, Department of Applied Mathematical Analysis, Mekelweg 4, 2628 CD, Delft, The Netherlands;Delft University of Technology, Department of Applied Mathematical Analysis, Mekelweg 4, 2628 CD, Delft, The Netherlands;Delft University of Technology, Laboratory of Aerospace Engineering, Kluiverweg 1, 2629 HS, Selft, The Netherlands
Venue:
Computing and Visualization in Science
Year:
2005

Citing 0
Cited 3

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Abstract

A model for particle dissolution is formulated for the case of several simultaneously diffusing and strongly interacting alloying elements. The model is analyzed by using diagonalization of the diffusion matrix. A numerical solution procedure, also based on diagonalization, is proposed. Further, self-similar solutions for the resulting moving boundary problem are derived for the case of both a diagonalizable and non-diagonalizable diffusion matrix. Finally, we use this technique to approximate a two-dimensional problem with Finite Elements.