- Title
- Novel General Solution for the Analysis of a Multicomponent Interdiffusion Couple
- Creator
- Belova, I. V.; Fiedler, T.; Murch, G. E.
- Relation
- ARC.DP200101969 http://purl.org/au-research/grants/arc/DP200101969
- Relation
- Journal of Phase Equilibria and Diffusion Vol. 43, Issue 6, p. 746-752
- Publisher Link
- http://dx.doi.org/10.1007/s11669-022-00978-1
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2022
- Description
- In this paper, we draw attention to the investigation of the novel exact solution [1.Scripta Mat. 210:114430; M.A. Dayananda, in JPED, this issue, (2022);] that is applicable to a multicomponent (n-component) interdiffusion couple where the interdiffusion matrix may change with alloy composition. In the derivation of this solution the interdiffusion flux Jj of a component j is related to (n-1) independent composition gradients for an isothermal, diffusion couple using the well-known continuity equation. Novel exact expressions are then derived for all of the interdiffusion coefficients, D~nij(i, j = 1, 2, …..n − 1), where the partial derivatives of the product Jj(y−y0)with respect to composition Ci(y0is the Matano plane) are used. In this paper, it is shown that the novel solution leads to a computational procedure similar to the Boltzmann-Matano analysis. Note that the derivatives ∂(Jj(y−y0))/∂Ci,i,j=1,…,n−1(that are required for the solution) can only be calculated along the diffusion path and therefore, for n>2,a single couple will not be enough to calculate all of them correctly.
- Subject
- binary diffusion; interdiffusion; multicomponent diffusion; matrix
- Identifier
- http://hdl.handle.net/1959.13/1480838
- Identifier
- uon:50572
- Identifier
- ISSN:1547-7037
- Rights
- © The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
- Language
- eng
- Full Text
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