Electromagnetic melt flow control in Vertical Gradient Freeze (VGF) crystal growth
Flow stability analysis
Numerical simulation of a typical VGF buoyant flow under the influence of a rotating magnetic field (RMF) using the CFD library OpenFOAM® and taking into account the buoyancy and the induced electromagnetic force density.
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Temperature iso-surfaces | Velocity vector plot at a vertical plane |
Time evolution of the kinetic energy of the meridional flow under two different thermal conditions showing the transition to the oscillatory flow regime
- The transition to time-dependent flow regimes with increasing RMF depends strongly on the thermal field the melt is exposed to
- The critical Taylor number Tac for the transition from steady to oscillatory flow increases with increasing axial temperature difference (in the isothermal regime: Tac=1.23x105)
Publications
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Poklad, A.; Pal, J.; Galindo, V.; Grants, I.; Heinze, V.; Meier, D.; Pätzold, O.; Stelter, M.; Gerbeth, G.
Magnetic flow control in growth and casting of photovoltaic silicon: Numerical and experimental results
IOP Conference Series: Materials Science and Engineering 228(2017)1, 012017 -
Pätzold, O.; Niemietz, K.; Lantzsch, R.; Galindo, V.; Grants, I.; Bellmann, M.; Gerbeth, G.
The Use of Magnetic Fields in vertical Bridgman/Gradient Freeze-type Crystal Growth European Physical Journal - Special Topics 220(2013), 243-257 -
Schmid, E.;Würzner, S.; Funke, C.; Galindo, V.; Pätzold; Stelter, M.
The effect of the growth rate on the microstructure of multi-crystalline silicon
Journal of Crystal Growth 359 (2012) 77-82 -
Galindo, V.; Niemietz, K.; Pätzold, O.; Gerbeth, G.
Numerical and experimental modeling of VGF-type buoyant flow under the influence of traveling and rotating magnetic fields
Journal of Crystal Growth (2011) -
Niemietz, K.; Galindo, V.; Pätzold, O.; Gerbeth, G.; Stelter, M.
Flow modelling with relevance to vertical gradient freeze crystal growth under the influence of a travelling magnetic field
Journal of Crystal Growth 318 (2011) 150-155 -
Lantzsch, R.; Galindo, V.; Grants, I.; Zhang, C.; Pätzold, O.; Gerbeth, G.; Stelter, M.
Experimental and numerical results on the fluid flow driven by a traveling magnetic field
Journal of Crystal Growth 305(2007), 249-256 -
Galindo, V.; Grants, I.; Lantzsch, R.; Pätzold, O.; Gerbeth, G
Numerical and experimental modeling of the melt flow in a traveling magnetic field for Vertical Gradient Freeze crystal growth
Journal of Crystal Growth 303(2007), 258-261