Solid fraction in dendritic solidification of a liquid

Lasse Makkonen (Corresponding Author)

Research output: Contribution to journalArticleScientificpeer-review

24 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 languageEnglish
Article number091910
JournalApplied Physics Letters
Volume96
Issue number9
DOIs
Publication statusPublished - 2010
MoE publication typeA1 Journal article-refereed

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solidification
dendrites
liquids
automatic control
unity
ice
water
temperature

Cite this

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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.",
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Solid fraction in dendritic solidification of a liquid. / Makkonen, Lasse (Corresponding Author).

In: Applied Physics Letters, Vol. 96, No. 9, 091910, 2010.

Research output: Contribution to journalArticleScientificpeer-review

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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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