Abstract
Single crystals of gallium-aluminum-antimonide are solidified from a solution of molten gallium-antimonide and aluminum-antimonide. Electromagnetic stirring can be induced in the melt by applying a weak electric field together with a weak axial magnetic field. This paper presents a numerical model which uses a Chebyshev spectral collocation method with a second-order implicit time integration scheme with Gauss-Lobatto collocation points. This investigation models the unsteady motion and solute transport during vertical gradient freezing by submerged heater growth with electromagnetic stirring. The radial homogeneity in the crystal improves as the solute's concentration increases.
Original language | English |
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Pages (from-to) | 3429-3438 |
Number of pages | 10 |
Journal | International Journal of Heat and Mass Transfer |
Volume | 49 |
Issue number | 19-20 |
DOIs | |
State | Published - Sep 2006 |
Externally published | Yes |
Funding
This research was supported by the US Air Force Office of Scientific Research under grant FA9550-04-1-0249. The calculations were performed on the Cray X1 provided by the DoD High Performance Computing Modernization Program under grant AFSNH2487 and on the IBM pSeries 690 provided by the National Computational Science Alliance under grant DMR030015.