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

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

14 Citations (Scopus)

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 (in print/issue) - 9 Oct 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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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.",

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AU - Mooney, R. P.

AU - McFadden, S.

AU - Rebow, M.

AU - Browne, D. J.

PY - 2012/10/9

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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.

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

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Keywords

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