Open Access

ARTICLE

A Numerical Simulation Study of Silicon Dissolution under Magnetic Field

by A. Kidess¹, N. Armour¹, S. Dost¹

1 Crystal Growth Laboratory, University of Victoria, Victoria, BC Canada V8W 3P6
2 Corresponding Author: sdost@me.uvic.ca; Tel: +1 250 721 8898, Fax: +1 250 721 6294.

Fluid Dynamics & Materials Processing 2011, 7(1), 29-56. https://doi.org/10.3970/fdmp.2011.007.029

Abstract

When a metallic liquid is subject to strong magnetic body forces, the issues of convergence and numerical stability may arise in numerical simulations. Handling of magnetic body force terms needs care. In this work we have studied two open codes and discussed the related issues. Magnetic force and mass transport terms were added to these codes. Handling the stability issues was discussed. The developed systems were validated by two benchmark cases. Then, the dissolution process of silicon into the germanium melt was selected as an application. The objective was the numerical study of the dissolution process with and without the application of an applied static magnetic field to examine the conditions used in experiments. The simulation results agree with experiments in both cases in predicting concentration distribution in the melt. However, they do not predict the experimentally observed enhanced dissolution structure near the ampoule wall along the source/melt interface under magnetic field.

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