A front tracking model for transient solidification of Al-7wt%Si in a Bridgman furnace

R. P. Mooney; S. McFadden; M. Rebow; D. J. Browne

doi:10.1007/s12666-012-0201-2

A front tracking model for transient solidification of Al-7wt%Si in a Bridgman furnace

R. P. Mooney, S. McFadden, M. Rebow, D. J. Browne

Faculty of Engineering and Built Environment

Research output: Contribution to journal › Article › peer-review

Abstract

The Bridgman furnace is widely used in industry and research. This paper outlines a working one-dimensional model for tracking the columnar solidification front in a Bridgman furnace where the pulling velocity, and hence front position, change as a function of time. The front tracking model is applied to a fixed grid of control volumes using an explicit numerical finite difference scheme to solve the heat equation over a finite domain. The model is demonstrated by way of a notional scenario, namely, Bridgman furnace solidification of a 16-mm diameter rod of Al-7wt%Si. The results show how the evolution of temperature distribution, thermal history, and front position are affected by a step change in pulling velocity.

Original language	English
Pages (from-to)	527-530
Number of pages	4
Journal	Transactions of the Indian Institute of Metals
Volume	65
Issue number	6
DOIs	https://doi.org/10.1007/s12666-012-0201-2
Publication status	Published - Dec 2012

Keywords

Al-Si
Bridgman furnace
Columnar growth
Front tracking
Velocity change

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10.1007/s12666-012-0201-2

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title = "A front tracking model for transient solidification of Al-7wt\%Si in a Bridgman furnace",

abstract = "The Bridgman furnace is widely used in industry and research. This paper outlines a working one-dimensional model for tracking the columnar solidification front in a Bridgman furnace where the pulling velocity, and hence front position, change as a function of time. The front tracking model is applied to a fixed grid of control volumes using an explicit numerical finite difference scheme to solve the heat equation over a finite domain. The model is demonstrated by way of a notional scenario, namely, Bridgman furnace solidification of a 16-mm diameter rod of Al-7wt\%Si. The results show how the evolution of temperature distribution, thermal history, and front position are affected by a step change in pulling velocity.",

keywords = "Al-Si, Bridgman furnace, Columnar growth, Front tracking, Velocity change",

author = "Mooney, \{R. P.\} and S. McFadden and M. Rebow and Browne, \{D. J.\}",

note = "Funding Information: Acknowledgments The authors would like to thank the European Space Agency for funding this research under the PRODEX programme. Thanks goes to all the GRADECET research partners, in particular Ulrike Hecht at Access e.V, Aachen, Germany.",

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AU - Mooney, R. P.

AU - McFadden, S.

AU - Rebow, M.

AU - Browne, D. J.

N1 - Funding Information: Acknowledgments The authors would like to thank the European Space Agency for funding this research under the PRODEX programme. Thanks goes to all the GRADECET research partners, in particular Ulrike Hecht at Access e.V, Aachen, Germany.

PY - 2012/12

Y1 - 2012/12

N2 - The Bridgman furnace is widely used in industry and research. This paper outlines a working one-dimensional model for tracking the columnar solidification front in a Bridgman furnace where the pulling velocity, and hence front position, change as a function of time. The front tracking model is applied to a fixed grid of control volumes using an explicit numerical finite difference scheme to solve the heat equation over a finite domain. The model is demonstrated by way of a notional scenario, namely, Bridgman furnace solidification of a 16-mm diameter rod of Al-7wt%Si. The results show how the evolution of temperature distribution, thermal history, and front position are affected by a step change in pulling velocity.

AB - The Bridgman furnace is widely used in industry and research. This paper outlines a working one-dimensional model for tracking the columnar solidification front in a Bridgman furnace where the pulling velocity, and hence front position, change as a function of time. The front tracking model is applied to a fixed grid of control volumes using an explicit numerical finite difference scheme to solve the heat equation over a finite domain. The model is demonstrated by way of a notional scenario, namely, Bridgman furnace solidification of a 16-mm diameter rod of Al-7wt%Si. The results show how the evolution of temperature distribution, thermal history, and front position are affected by a step change in pulling velocity.

KW - Al-Si

KW - Bridgman furnace

KW - Columnar growth

KW - Front tracking

KW - Velocity change

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A front tracking model for transient solidification of Al-7wt%Si in a Bridgman furnace

Abstract

Keywords

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