Cross-diffusion controlled particle dissolution in metallic alloys

FJ Vermolen; C Vuik; S van der Zwaag

doi:doi:10.1007/s00791-004-0144-1

Cross-diffusion controlled particle dissolution in metallic alloys

FJ Vermolen, C Vuik, S van der Zwaag

Research output: Contribution to journal › Article › Scientific › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	Undefined/Unknown
Pages (from-to)	27-33
Number of pages	7
Journal	Computing and Visualization in Science
Volume	8
Issue number	1
DOIs	https://doi.org/doi:10.1007/s00791-004-0144-1
Publication status	Published - 2005

Bibliographical note

resultaat is reeds gehonoreerd in 2004

Keywords

academic journal papers
Geen BTA classificatie

Access to Document

doi:10.1007/s00791-004-0144-1

Cite this

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title = "Cross-diffusion controlled particle dissolution in metallic alloys",

abstract = "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.",

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AU - Vuik, C

AU - van der Zwaag, S

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N2 - 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.

AB - 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.

KW - academic journal papers

KW - Geen BTA classificatie

U2 - doi:10.1007/s00791-004-0144-1

DO - doi:10.1007/s00791-004-0144-1

M3 - Article

SN - 1432-9360

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EP - 33

JO - Computing and Visualization in Science

JF - Computing and Visualization in Science

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