Prediction of Columnar to Equiaxed Transition during Diffusion-Controlled Dendritic Alloy Solidification

Chao-yang Wang, C. Beckermann

Research output: Contribution to journalArticle

133 Citations (Scopus)

Abstract

A model is presented to predict the columnar to equiaxed transition (CET) in alloy castings. The model is based on a multiphase approach and accounts for heat and solute diffusion, as well as for grain nucleation, growth, and morphology. The model equations are applicable to both columnar and equiaxed dendritic solidification, thus offering an efficient single-domain formulation. A fixed grid, fully implicit finite-difference procedure is employed in the numerical solution, and a novel front tracking technique is incorporated that is also implicit in nature and readily applies to multidimensional situations. Calculations are performed for one-dimensional (1-D) and two-dimensional (2-D) castings of Al-Cu and Sn-Pb alloys. The calculated CET positions are compared with previous measurements in a (1-D) ingot cast under well-controlled conditions, and good agreement is found. The effects of various casting parameters on the CET are numerically explored.

Original languageEnglish (US)
Pages (from-to)1081-1093
Number of pages13
JournalMetallurgical and Materials Transactions A
Volume25
Issue number5
DOIs
StatePublished - May 1 1994

Fingerprint

solidification
Solidification
predictions
ingots
Ingots
casts
solutes
Casting
Nucleation
grids
nucleation
formulations
heat
Castings
Hot Temperature

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Metals and Alloys

Cite this

@article{3fc5f42e9b0d467889a3ee9120dd7edd,
title = "Prediction of Columnar to Equiaxed Transition during Diffusion-Controlled Dendritic Alloy Solidification",
abstract = "A model is presented to predict the columnar to equiaxed transition (CET) in alloy castings. The model is based on a multiphase approach and accounts for heat and solute diffusion, as well as for grain nucleation, growth, and morphology. The model equations are applicable to both columnar and equiaxed dendritic solidification, thus offering an efficient single-domain formulation. A fixed grid, fully implicit finite-difference procedure is employed in the numerical solution, and a novel front tracking technique is incorporated that is also implicit in nature and readily applies to multidimensional situations. Calculations are performed for one-dimensional (1-D) and two-dimensional (2-D) castings of Al-Cu and Sn-Pb alloys. The calculated CET positions are compared with previous measurements in a (1-D) ingot cast under well-controlled conditions, and good agreement is found. The effects of various casting parameters on the CET are numerically explored.",
author = "Chao-yang Wang and C. Beckermann",
year = "1994",
month = "5",
day = "1",
doi = "10.1007/BF02652282",
language = "English (US)",
volume = "25",
pages = "1081--1093",
journal = "Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science",
issn = "1073-5623",
publisher = "Springer Boston",
number = "5",

}

Prediction of Columnar to Equiaxed Transition during Diffusion-Controlled Dendritic Alloy Solidification. / Wang, Chao-yang; Beckermann, C.

In: Metallurgical and Materials Transactions A, Vol. 25, No. 5, 01.05.1994, p. 1081-1093.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Prediction of Columnar to Equiaxed Transition during Diffusion-Controlled Dendritic Alloy Solidification

AU - Wang, Chao-yang

AU - Beckermann, C.

PY - 1994/5/1

Y1 - 1994/5/1

N2 - A model is presented to predict the columnar to equiaxed transition (CET) in alloy castings. The model is based on a multiphase approach and accounts for heat and solute diffusion, as well as for grain nucleation, growth, and morphology. The model equations are applicable to both columnar and equiaxed dendritic solidification, thus offering an efficient single-domain formulation. A fixed grid, fully implicit finite-difference procedure is employed in the numerical solution, and a novel front tracking technique is incorporated that is also implicit in nature and readily applies to multidimensional situations. Calculations are performed for one-dimensional (1-D) and two-dimensional (2-D) castings of Al-Cu and Sn-Pb alloys. The calculated CET positions are compared with previous measurements in a (1-D) ingot cast under well-controlled conditions, and good agreement is found. The effects of various casting parameters on the CET are numerically explored.

AB - A model is presented to predict the columnar to equiaxed transition (CET) in alloy castings. The model is based on a multiphase approach and accounts for heat and solute diffusion, as well as for grain nucleation, growth, and morphology. The model equations are applicable to both columnar and equiaxed dendritic solidification, thus offering an efficient single-domain formulation. A fixed grid, fully implicit finite-difference procedure is employed in the numerical solution, and a novel front tracking technique is incorporated that is also implicit in nature and readily applies to multidimensional situations. Calculations are performed for one-dimensional (1-D) and two-dimensional (2-D) castings of Al-Cu and Sn-Pb alloys. The calculated CET positions are compared with previous measurements in a (1-D) ingot cast under well-controlled conditions, and good agreement is found. The effects of various casting parameters on the CET are numerically explored.

UR - http://www.scopus.com/inward/record.url?scp=0028436753&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028436753&partnerID=8YFLogxK

U2 - 10.1007/BF02652282

DO - 10.1007/BF02652282

M3 - Article

VL - 25

SP - 1081

EP - 1093

JO - Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science

JF - Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science

SN - 1073-5623

IS - 5

ER -