A mathematical model for the dissolution of stoichiometric particles in multi-component alloys

Report (2001)

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

To reference this document use:

http://resolver.tudelft.nl/uuid:54245928-ecb8-44a3-8486-60bf70777aa8

More Info

expand_more

Published Date

2001

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Source:

Reports of the Department of Applied Mathematical Analysis, 01-01

Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

A general model for the dissolution of stoichiometric particles in multi-component alloys is proposed and analysed. We introduce the concept of mass-conserving solutions and give a self-similar solution for the resulting Stefan-problem. Furthermore, we show that particle dissolution in multi-component alloys can under certain circumstances be approximated by a model for particle dissolution in binary alloys. Subsequently, we propose a numerical method to solve the coupled dissolution problem. We end with some examples of hypothetical applications from metallurgy.

Files

Vermolen-01-01.pdf

(pdf | 0.734 Mb)