Thermodynamically consistent bi-velocity mass transport phenomenology

Danielewski, Marek; Wierzba, Bartek�

doi:10.1016/j.actamat.2010.08.037

Cited by 71 publications

(49 citation statements)

References 25 publications

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“…The method assumes the parabolic dependence of the logarithm of intrinsic diffusion coefficients versus molar ratio of element in the diffusion couple. To check the validity of GBM approach in Ni-Cu system concentration profiles were calculated by the generalized Darken method [20] and compared with experimental results.…”

Section: Resultsmentioning

confidence: 99%

The interdiffusion in copper-nickel alloys

Wierzba

Skibiński

2016

Journal of Alloys and Compounds

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Section: Resultsmentioning

confidence: 99%

The interdiffusion in copper-nickel alloys

Wierzba

Skibiński

2016

Journal of Alloys and Compounds

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“…where high Knudsen number terms are found to influence flows in the hydrodynamic or pure continuum regime [20]). The (apparent) inconsistency observed when using hydrodynamic models associated with the Klimontovich kinetic equation (1) may be understood because, that description did not identify the distinction between the 'mass velocity' and the 'volume or diffusion velocity', which are related respectively to 'mass averaging' and 'volume averaging' [29].…”

Section: Discussionmentioning

confidence: 99%

Analysis of the thermomechanical inconsistency of some extended hydrodynamic models at high Knudsen number

Dadzie

Reese

2012

Phys. Rev. E

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This version is available at https://strathprints.strath.ac.uk/39217/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the The collision integral dominates in the small local Knudsen number regime, which is associated with the exact traditional continuum limit. We find a sub-domain of the continuum range which the conventional Knudsen number classification does not account for appropriately. In this sub-domain, it is possible to obtain a fully mechanically-consistent volume (or mass) diffusion model that satisfies the second law of thermodynamics on the grounds of extended non-local-equilibrium thermodynamics.

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“…This means that the coating structure is metastable and undergoes changes in the temperature range of up to 400°C, whose effects could be contained within the range of elastic lattice interactions or/and diffusion caused by stresses [33]. As has been demonstrated in works [34] on the example of a coating with similar chemical composition, the long-lasting effects of the changes, in the form of transition of the phase bcc into the phase fcc, occur above the temperature of 500°C.…”

Section: Discussionmentioning

confidence: 96%

Diffractometric examination of the structure of heat-resisting steel-based coatings in different measurement geometries

Kucharska

2011

Open Physics

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Abstract:Coatings of the composition of 310S heat-resisting steel dopped Al and Ir additions, deposited on a substrate of the same steel by the magnetron sputtering method, were examined. The measurements were made in the classical Bragg-Brentano geometry and by the GXRD method. With the fixed and different position of the coated sample by rotating the sample by angles ψ. The coating as deposited and after being soaked at 400°C for 15 minutes was subjected to examinations. The examination carried out have shown that coatings may have a unique, subtle structure which is metastable and undergoes irreversible changes in the temperatures up to 400°C. It has been found that in the outermost coating zones and zones closer to the substrate, areas occur in the coating structure, which have the different lattice parameter compared to the basic phase. Additionaly, the local period of the structure equal 5.9 nm was found.

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Thermodynamically consistent bi-velocity mass transport phenomenology

Cited by 71 publications

References 25 publications

The interdiffusion in copper-nickel alloys

The interdiffusion in copper-nickel alloys

Analysis of the thermomechanical inconsistency of some extended hydrodynamic models at high Knudsen number

Diffractometric examination of the structure of heat-resisting steel-based coatings in different measurement geometries

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