Solid fraction in dendritic solidification of a liquid

Lasse Makkonen

doi:10.1063/1.3306728

Solid fraction in dendritic solidification of a liquid

Lasse Makkonen (Corresponding Author)

Research output: Contribution to journal › Article › Scientific › peer-review

25 Citations (Scopus)

Abstract

When a liquid is cooled below its equilibrium solidification temperature the solidification takes place as growing dendrites of microscopic scale. An essential feature of the material formed this way is its solid fraction f, which is less than unity due to liquid entrapped between the solid dendrites. In this letter, f in directional solidification of a pure liquid is solved analytically showing that f is independent of the growth conditions. In this sense, this solidification process is self-regulating and f is a material parameter. For water, as an example, the ice fraction is 70% in agreement with experimental data.

Original language	English
Article number	091910
Journal	Applied Physics Letters
Volume	96
Issue number	9
DOIs	https://doi.org/10.1063/1.3306728
Publication status	Published - 2010
MoE publication type	A1 Journal article-refereed

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AB - When a liquid is cooled below its equilibrium solidification temperature the solidification takes place as growing dendrites of microscopic scale. An essential feature of the material formed this way is its solid fraction f, which is less than unity due to liquid entrapped between the solid dendrites. In this letter, f in directional solidification of a pure liquid is solved analytically showing that f is independent of the growth conditions. In this sense, this solidification process is self-regulating and f is a material parameter. For water, as an example, the ice fraction is 70% in agreement with experimental data.

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