The rapid advance and slow retreat of a mushy zone

Autor:	Tim P. Schulze, Nicholas R. Gewecke
Rok vydání:	2011
Předmět:	Mechanics of Materials Mechanical Engineering Latent heat Binary alloy Solid region Solute diffusion Thermodynamics Mechanics Condensed Matter Physics Geology
Zdroj:	Journal of Fluid Mechanics. 674:227-243
ISSN:	1469-7645 0022-1120
DOI:	10.1017/s0022112011000103
Popis:	We discuss a model for the evolution of a mushy zone which forms during the solidification of a binary alloy cooled from below in a tank with finite height. Our focus is on behaviours of the system that do not appear when either a semi-infinite domain or negligible solute diffusion is assumed. The problem is simplified through an assumption of negligible latent heat, and we develop a numerical scheme that will permit insights that are critical for developing a more general procedure. We demonstrate that a mushy zone initially grows rapidly, then slows down and eventually retreats slowly. The mushy zone vanishes after a long time, as it is overtaken by a slowly growing solid region at the base of the tank.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::15f0d2870ca27fa2b6bb7d16f1343673 https://doi.org/10.1017/s0022112011000103 Zobrazit plný text záznamu