Spacing in solidification of dendritic arrays

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18 Citations (Scopus)

Abstract

A number of models of the primary dendrite spacing selection in directional solidification have been proposed based on considerations of the solutal diffusion problem. It is shown here that the primary spacing in dendritic solidification is fundamentally determined by the heat balance. Diffusion of solute affects the spacing only indirectly via selection of the tip radius. A simple solution for the spacing is derived. This analysis does not support the recent idea that the dendrite tip radius is selected by array interactions and indicates that the experimentally observed history dependence and range of spacings are due to the thermal hysteresis of the system, rather than to a range of physically allowable stable states.

Original languageEnglish
Pages (from-to)772 - 778
Number of pages7
JournalJournal of Crystal Growth
Volume208
Issue number1-4
DOIs
Publication statusPublished - 2000
MoE publication typeA1 Journal article-refereed

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solidification
Solidification
spacing
Dendrites (metallography)
Hysteresis
dendrites
heat balance
radii
solutes
hysteresis
Hot Temperature
histories
interactions

Cite this

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title = "Spacing in solidification of dendritic arrays",
abstract = "A number of models of the primary dendrite spacing selection in directional solidification have been proposed based on considerations of the solutal diffusion problem. It is shown here that the primary spacing in dendritic solidification is fundamentally determined by the heat balance. Diffusion of solute affects the spacing only indirectly via selection of the tip radius. A simple solution for the spacing is derived. This analysis does not support the recent idea that the dendrite tip radius is selected by array interactions and indicates that the experimentally observed history dependence and range of spacings are due to the thermal hysteresis of the system, rather than to a range of physically allowable stable states.",
author = "Lasse Makkonen",
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year = "2000",
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language = "English",
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pages = "772 -- 778",
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}

Spacing in solidification of dendritic arrays. / Makkonen, Lasse.

In: Journal of Crystal Growth, Vol. 208, No. 1-4, 2000, p. 772 - 778.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Spacing in solidification of dendritic arrays

AU - Makkonen, Lasse

N1 - Project code: R7SU00488

PY - 2000

Y1 - 2000

N2 - A number of models of the primary dendrite spacing selection in directional solidification have been proposed based on considerations of the solutal diffusion problem. It is shown here that the primary spacing in dendritic solidification is fundamentally determined by the heat balance. Diffusion of solute affects the spacing only indirectly via selection of the tip radius. A simple solution for the spacing is derived. This analysis does not support the recent idea that the dendrite tip radius is selected by array interactions and indicates that the experimentally observed history dependence and range of spacings are due to the thermal hysteresis of the system, rather than to a range of physically allowable stable states.

AB - A number of models of the primary dendrite spacing selection in directional solidification have been proposed based on considerations of the solutal diffusion problem. It is shown here that the primary spacing in dendritic solidification is fundamentally determined by the heat balance. Diffusion of solute affects the spacing only indirectly via selection of the tip radius. A simple solution for the spacing is derived. This analysis does not support the recent idea that the dendrite tip radius is selected by array interactions and indicates that the experimentally observed history dependence and range of spacings are due to the thermal hysteresis of the system, rather than to a range of physically allowable stable states.

U2 - 10.1016/S0022-0248(99)00471-6

DO - 10.1016/S0022-0248(99)00471-6

M3 - Article

VL - 208

SP - 772

EP - 778

JO - Journal of Crystal Growth

JF - Journal of Crystal Growth

SN - 0022-0248

IS - 1-4

ER -