Primary dendrite spacing in constrained solidification

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Abstract

A theory of primary dendrite spacing γ1 in directional solidification of alloys is developed based on thermodynamic and geometric arguments. The results for a cubic material is γ1 = (πΔTR/G)0.5), where ΔT is the unit undercooling, R is the tip radius and G is the temperature gradient. This prediction is in quantitative agreement with experimental data.

Original languageEnglish
Pages (from-to)141 - 143
Number of pages3
JournalMaterials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing
Volume148
Issue number1
DOIs
Publication statusPublished - 1991
MoE publication typeA1 Journal article-refereed

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Undercooling
Dendrites (metallography)
supercooling
dendrites
Thermal gradients
solidification
Solidification
temperature gradients
spacing
Thermodynamics
thermodynamics
radii
predictions

Cite this

@article{6f8838431b3742e9868073e1356a0561,
title = "Primary dendrite spacing in constrained solidification",
abstract = "A theory of primary dendrite spacing γ1 in directional solidification of alloys is developed based on thermodynamic and geometric arguments. The results for a cubic material is γ1 = (πΔTR/G)0.5), where ΔT is the unit undercooling, R is the tip radius and G is the temperature gradient. This prediction is in quantitative agreement with experimental data.",
author = "Lasse Makkonen",
note = "Project code: RAM10391",
year = "1991",
doi = "10.1016/0921-5093(91)90874-M",
language = "English",
volume = "148",
pages = "141 -- 143",
journal = "Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing",
issn = "0921-5093",
publisher = "Elsevier",
number = "1",

}

Primary dendrite spacing in constrained solidification. / Makkonen, Lasse.

In: Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing, Vol. 148, No. 1, 1991, p. 141 - 143.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Primary dendrite spacing in constrained solidification

AU - Makkonen, Lasse

N1 - Project code: RAM10391

PY - 1991

Y1 - 1991

N2 - A theory of primary dendrite spacing γ1 in directional solidification of alloys is developed based on thermodynamic and geometric arguments. The results for a cubic material is γ1 = (πΔTR/G)0.5), where ΔT is the unit undercooling, R is the tip radius and G is the temperature gradient. This prediction is in quantitative agreement with experimental data.

AB - A theory of primary dendrite spacing γ1 in directional solidification of alloys is developed based on thermodynamic and geometric arguments. The results for a cubic material is γ1 = (πΔTR/G)0.5), where ΔT is the unit undercooling, R is the tip radius and G is the temperature gradient. This prediction is in quantitative agreement with experimental data.

U2 - 10.1016/0921-5093(91)90874-M

DO - 10.1016/0921-5093(91)90874-M

M3 - Article

VL - 148

SP - 141

EP - 143

JO - Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing

JF - Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing

SN - 0921-5093

IS - 1

ER -