Abstract
We present the results of velocity measurements obtained by ultrasonic Doppler velocimetry and local potential probes in the flow of GaInSn eutectic melt driven by a two-phase inductor in a cylindrical container. This type of flow is expected in a recent modification to the floating zone technique for the growth of small-diameter single intermetallic compound crystals. We show that the flow structure can be changed from the typical two toroidal vortices to a single vortex by increasing the phase shift between the currents in the two coils from 0° to 90°. The latter configuration is thought to be favourable for the growth of single crystals. The flow is also computed numerically, and a reasonable agreement with the experimental results is found. The obtained results may be useful for the design of combined two-phase electromagnetic stirrers and induction heaters for metal or semiconductor melts.
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References
Cramer A, Zhang C, Eckert S (2005) Local flow structures in liquid metals measured by ultrasonic Doppler velocimetry. Flow Meas Instrum 15:145–153
Cramer A, Varshney K, Gundrum Th, Gerbeth G (2006) Experimental study on the sensitivity and accuracy of electric potential local flow measurements. Flow Meas Instrum 17:1–11
Ernst R, Perrier D, Brun P, Lacombe J (2005) Multiphase electromagnetic stirring of low conducting liquids. COMPEL 24:334–343
Ernst R, Hamburger J, Garnier C, Mangelinck-Noël N, Ramoni P (2005) Grain size reduction by electromagnetic stirring inside gold alloys. Eur Phys J Appl Phys 30:215–222
Fautrelle YR (1982) Analytical and numerical aspects of the electromagnetic stirring induced by alternating magnetic fields. J Fluid Mech 102:405–430
Hermann R, Priede J, Behr G, Gerbeth G, Schultz L (2001) Influence of growth parameters and melt convection on the solid–liquid interface during RF-floating zone crystal growth of intermetallic compounds. J Cryst Growth 223:577–587
Hermann R, Behr G, Gerbeth G, Priede J, Uhlemann H-J, Fischer F, Schultz L (2005) Magnetic field controlled FZ single crystal growth of intermetallic compounds. J Cryst Growth 275:1533–1538
Moffatt HK (1991) Electromagnetic stirring. Phys Fluids A 3:1336–1343
Priede J, Gerbeth G (2013) Analysis of two-phase RF inductor for the floating-zone crystal growth. COMPEL (submitted)
Priede J, Gerbeth G, Hermann R, Behr G, Schultz L, Uhlemann H-J (2007) German Patent DE10328859B4
Ricou R, Vives C (1982) Local velocity and mass transfer measurements in molten metals using an incorporated probe. Int J Heat Mass Transf 25:1579–1588
Rudolph P (2008) Travelling magnetic fields applied to bulk crystal growth from the melt: The step from basic research to industrial scale. J Cryst Growth 310:1298–1306
Rudolph P (2010) Defect formation during crystal growth from the melt. In: Dhanaraj G, Byrappa K, Prasad V, Dudley M (eds) Springer handbook of crystal growth, 1st edn. Springer, Berlin, pp 159–201
Sneyd AD (1993) Theory of electromagnetic stirring by AC fields. IMA J Math Appl Bus Ind 5:87–113
Sneyd AD, Moffatt HK (1982) Fluid dynamical aspects of the levitation melting. J Fluid Mech 117:45–70
Taberlet E, Fautrelle Y (1985) Turbulent stirring in an experimental induction furnace. J Fluid Mech 159:409–431
Takeda Y (1987) Measurement of velocity profile of mercury flow by ultrasound Doppler shift method. Nucl Technol 79:120–124
Takeda Y, Kikura H (2002) Flow mapping of the mercury flow. Exp Fluids 32:161–169
Acknowledgment
This work was supported by Deutsche Forschungsgemeinschaft in frame of the Sonderforschungsbereich 609.
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Pedcenko, A., Bojarevičs, A., Priede, J. et al. Velocity measurements in the liquid metal flow driven by a two-phase inductor. Exp Fluids 54, 1558 (2013). https://doi.org/10.1007/s00348-013-1558-7
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DOI: https://doi.org/10.1007/s00348-013-1558-7