| Issue |
MATEC Web Conf.
Volume 194, 2018
Heat and Mass Transfer in the Thermal Control System of Technical and Technological Energy Equipment (HMTTSC-2018)
|
|
|---|---|---|
| Article Number | 01045 | |
| Number of page(s) | 4 | |
| DOI | https://doi.org/10.1051/matecconf/201819401045 | |
| Published online | 21 August 2018 | |
Analytical solutions of the segregation problem
Kutateladze Institute of Thermophysics, 630090 Novosibirsk, Russia
* Corresponding author: pilnik@itp.nsc.ru
New analytical solutions of the segregation problem were found. The segregation is caused by the dissolved gas displacement by a moving crystallization front. The displacement is caused by the low solubility of the volatiles in solid, so the dissolved gas is withdrawn from the crystallizing melt towards the surrounding melt. Two different modes of crystallization were considered. The first one is the case of constant crystal growth rate which takes place in the case of intensive heat removal or when only initial stage of crystallization process is considered. The second mode is the “normal growth law” which is a self-similar solution of the crystal growth problem. In this case the crystal growth rate is inversely proportional to a square root of time. In contrast to the already existing solutions here the solidification shrinkage is taken into account.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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