Application of asymptotic expansions to model two-dimensional induction heating systems. Part II: Calculation of equivalent surface stresses and heat flux

IEEE Transactions on Magnetics

Volumn 41, Issue 9, 2005, Pages 2506-2514

  Bioul, F ^a   Dupret, F ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Computer simulation; Electromagnetic forces; Floating zone process; Induction heating

Indexed keywords

COMPUTER SIMULATION; ELECTRIC CONDUCTORS; ELECTROMAGNETIC FIELDS; MAGNETIC FLUX; STRESS ANALYSIS;

ELECTROMAGNETIC FORCES; FLOATING ZONE PROCESS; NAVIER-STROKES; SURFACE STRESSES;

INDUCTION HEATING;

EID: 26944477790     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2005.854324     Document Type: Article

References (10)

1. F. Bioul and F. Dupret, "Application of asymptotic expansions to model 2-D induction heating systems. Part I: Calculation of electromagnetic field distribution," IEEE Trans. Magn., vol. 41, no. 9, pp. 2496-2505, Sep. 2005.
2. S. Rytov, "Calcul du skin-effect par la méthode des perturbations," J. Physique USSR, vol. 2, pp. 233-242, 1940.
3. A. Mühlbauer, A. Muiznieks, J. Virbulis, A. Lüdge, and H. Riemann, "Interface shape, heat transfer and fluid flow in the floating zone growth of large silicon crystals with the needle-eye technique," J. Cryst. Growth, vol. 151, pp. 66-79, 1995.
4. G. Ratnieks, A. Muiznieks, A. Mühlbauer, and G. Raming, "Numerical 3D study of FZ growth: Dependence on growth parameters and melt instability," J. Cryst. Growth, vol. 230, pp. 48-56, 2001.
5. G. Ratnieks, A. Muiznieks, and A. Mühlbauer, "Modeling of phase boundaries for large industrial FZ silicon crystal growth with the needleeye technique," J. Cryst. Growth, vol. 255, pp. 227-240, 2003.
6. G. Ratnieks, A. Muiznieks, L. Buligins, G. Raming, A. Mühlbauer, A. Lüdge, and H. Riemann, "Influence of the three dimensionality of the HF electromagnetic field on resistivity variations in Si single crystals during FZ growth," J. Cryst. Growth, vol. 216, pp. 204-219, 2000.
7. P. Gresho and J. J. Derby, "A finite element model for induction heating of a metal crucible," J. Cryst. Growth, vol. 85, pp. 40-48, 1987.
8. L. Egan and E. Furlani, "A computer simulation of an induction heating system," IEEE Trans. Magn., vol. 27, no. 5, pp. 4343-4354, Sep. 1991.
9. F. Bioul and F. Dupret, "Free surface shear flows induced by Marangoni and alternating electromagnetic forces," J. Non-Equilib. Thermodyn., vol. 30, no. 3, 2005.
10. R. Hermann, G. Behr, G. Gerbeth, J. Priede, H.-J. Uhlemann, F. Fischer, and L. Schultz, "Magnetic field controlled FZ single crystal growth of intermetallic compounds," J. Cryst. Growth, vol. 275, pp. 1533-1538, 2005.