Numerical model for dendritic solidification of binary alloys

S. D. Felicelli; J. C. Heinrich; D. R. Poirier

doi:10.1080/10407799308914911

Numerical model for dendritic solidification of binary alloys

S. D. Felicelli, J. C. Heinrich, D. R. Poirier

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62 Scopus citations

Abstract

A finite element model capable of simulating solidification of binary alloys and the formation of freckles is presented. It uses a single system of equations to deal with the all–liquid region, the dendritic region, and the all–solid region. The dendritic region is treated as an anisotropic porous medium. The algorithm uses the bilinear isoparametric element, with a penalty function approximation and a Petrov–Galerldn formulation. Numerical simulations are shown in which an NH₄ Cl–H₂O mixture and a Pb–Sn alloy melt are cooled. The solidification process is followed in time. Instabilities in the process can be clearly observed and the final compositions obtained.

Original language	English (US)
Pages (from-to)	461-481
Number of pages	21
Journal	Numerical Heat Transfer, Part B: Fundamentals
Volume	23
Issue number	4
DOIs	https://doi.org/10.1080/10407799308914911
State	Published - Jun 1993
Externally published	Yes

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Condensed Matter Physics
Mechanics of Materials
Computer Science Applications

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10.1080/10407799308914911

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title = "Numerical model for dendritic solidification of binary alloys",

abstract = "A finite element model capable of simulating solidification of binary alloys and the formation of freckles is presented. It uses a single system of equations to deal with the all–liquid region, the dendritic region, and the all–solid region. The dendritic region is treated as an anisotropic porous medium. The algorithm uses the bilinear isoparametric element, with a penalty function approximation and a Petrov–Galerldn formulation. Numerical simulations are shown in which an NH4 Cl–H2O mixture and a Pb–Sn alloy melt are cooled. The solidification process is followed in time. Instabilities in the process can be clearly observed and the final compositions obtained.",

author = "Felicelli, {S. D.} and Heinrich, {J. C.} and Poirier, {D. R.}",

note = "Funding Information: This work was supported by the National Aeronautics and Space Administration under grant NAG 3- 1060; by Cray Research. Inc., Eagan, Minnesota; and by the San Diego Supercomputer Center. The authors are grateful for their sponsorship. The provision of financial support to Sergio D. Felicelli by the Argentine Atomic Energy Commission is also gratefully acknowledged.",

year = "1993",

month = jun,

doi = "10.1080/10407799308914911",

language = "English (US)",

volume = "23",

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journal = "Numerical Heat Transfer, Part B: Fundamentals",

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T1 - Numerical model for dendritic solidification of binary alloys

AU - Felicelli, S. D.

AU - Heinrich, J. C.

AU - Poirier, D. R.

N1 - Funding Information: This work was supported by the National Aeronautics and Space Administration under grant NAG 3- 1060; by Cray Research. Inc., Eagan, Minnesota; and by the San Diego Supercomputer Center. The authors are grateful for their sponsorship. The provision of financial support to Sergio D. Felicelli by the Argentine Atomic Energy Commission is also gratefully acknowledged.

PY - 1993/6

Y1 - 1993/6

N2 - A finite element model capable of simulating solidification of binary alloys and the formation of freckles is presented. It uses a single system of equations to deal with the all–liquid region, the dendritic region, and the all–solid region. The dendritic region is treated as an anisotropic porous medium. The algorithm uses the bilinear isoparametric element, with a penalty function approximation and a Petrov–Galerldn formulation. Numerical simulations are shown in which an NH4 Cl–H2O mixture and a Pb–Sn alloy melt are cooled. The solidification process is followed in time. Instabilities in the process can be clearly observed and the final compositions obtained.

AB - A finite element model capable of simulating solidification of binary alloys and the formation of freckles is presented. It uses a single system of equations to deal with the all–liquid region, the dendritic region, and the all–solid region. The dendritic region is treated as an anisotropic porous medium. The algorithm uses the bilinear isoparametric element, with a penalty function approximation and a Petrov–Galerldn formulation. Numerical simulations are shown in which an NH4 Cl–H2O mixture and a Pb–Sn alloy melt are cooled. The solidification process is followed in time. Instabilities in the process can be clearly observed and the final compositions obtained.

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JO - Numerical Heat Transfer, Part B: Fundamentals

JF - Numerical Heat Transfer, Part B: Fundamentals

IS - 4

ER -

Numerical model for dendritic solidification of binary alloys

Abstract

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