Abstract
Analytical solutions are derived to describe the migration of a liquid particle or droplet, enriched in one component, through a solid under a thermal gradient, a behavior also known as temperature gradient zone melting or TGZM. Such a particle migrates in the direction of increasing temperature and is driven by different temperatures and equilibrium compositions that produce dissolution of the solid matrix at the leading end, regrowth at the trailing end, and diffusion of the excess component across the droplet. While simple, linear concentration and temperature profiles arise within the liquid particle during migration, both droplet velocity and size exhibit nonlinear growth with time. Conditions for the validity of the analytical TGZM solutions are identified, and suggestions are put forth for experimental application and further improvements.
| Original language | English (US) |
|---|---|
| Article number | 117780 |
| Journal | Acta Materialia |
| Volume | 228 |
| DOIs | |
| State | Published - Apr 15 2022 |
| Externally published | Yes |
Bibliographical note
Funding Information:This work was supported in part by U.S. Department of Homeland Security, 2012-DN-077-ARI066-02, the content which does not necessarily reflect the position or policy of the United States Government, and no official endorsement should be inferred. The authors would like to thank Prof. Steven Egarievwe, Dr. Ge Yang, Dr. Ralph B. James, and members of the Radiation Detector and Nonproliferation R&D Group at Brookhaven National Laboratory for providing insight to second-phase particles in CdZnTe and their annealing via TGZM. We would also like to acknowledge Professor David Kohlstedt of the University of Minnesota for bringing our attention to geophysical brine pocket migration phenomena. Finally, we wish to thank an anonymous reviewer, whose insightful comments improved the manuscript.
Publisher Copyright:
© 2022 Acta Materialia Inc.
Keywords
- Droplets
- Gradient
- Particle
- Solid/liquid interface
- TGZM