Radiative exchange between a cylindrical crystal and a monoellipsoidal mirror furnace

International Journal of Heat and Mass Transfer

Volumn 40, Issue 2, 1997, Pages 323-332

  Haya, Rodrigo ^a   Rivas, Damián ^a   Sanz, Javier ^a  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALS; CYLINDERS (SHAPES); HEAT CONDUCTION; HEATING FURNACES; MATHEMATICAL MODELS; MIRRORS; TEMPERATURE DISTRIBUTION;

ASYMMETRIC HEATING; MONOELLIPSOIDAL MIRROR FURNACES; RADIATIVE EXCHANGE;

HEAT RADIATION;

EID: 0030669234     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/0017-9310(96)00103-2     Document Type: Article

References (21)

1. A. Eyer, R. Nitsche and H. Zimmermann, A double-ellipsoid mirror furnace for zone crystallization experiments in Spacelab, J. Crystal Growth 47, 219-229 (1979).
2. D. Rivas, J. Sanz and C. Vázquez, Temperature field in a cylindrical crystal heated in a mono-ellipsoid mirror furnace, J. Crystal Growth 116, 127-138 (1992).
3. Facilities for microgravity investigations in physical sciences, supported by the ESA, ESA SP-1116 (1989).
4. Experiments facilities for materials and fluids sciences embarked on Spacelab, ESA SP-1120 (1989).
5. K. Kitazawa, K. Nagashima, T. Mizutani, K. Fueki and T. Mukaibo, A new thermal imaging system utilizing a Xe arc lamp and an ellipsoidal mirror for crystallization of refractory oxides, J. Crystal Growth 39, 211-215 (1977).
6. H. G. Riveros, W. K. Cory, R. Toca and E. Camarillo, An ellipsoidal mirror furnace for Czochralski growth, J. Crystal Growth 49, 85-89 (1980).
7. E. R. G. Eckert and E. M. Sparrow, Radiative heat exchange between surfaces with specular reflection, Int. J. Heat Mass Transfer 3, 43-54 (1961).
8. E. M. Sparrow, E. R. G. Eckert and V. K. Jonsson, An enclosure theory for radiative exchange between specular and diffusely reflecting surfaces, J. Heat Transfer C 84, 294-299 (1962).
9. J. L. Duranceau and R. A. Brown, Thermal-capillary analysis of small-scale floating zones : steady-state calculations, J. Crystal Growth 75, 367-389 (1986).
10. J. Zheng, Y. Kamotani and S. Ostrach, 28th Aerospace Science Meeting, AIAA-090-0318 (1990).
11. B. Xiong, Z. M. Tang and W. R. Hu, Thermocapillary convection with phase change in the floating zone under microgravity, Microqravity Sci. Technol. VI, 131-136 (1993).
12. I. Martínez and A. Cröll, Liquid bridges and floating zones, ESA SP-333, pp. 335-142 (1992).
13. D. Langbein and H. J. Settler. Temperature distribution within a sample in the mirror furnace ELLJ in dependence on lamp and sample positions. Technical Report BF-R-65.858, ESTEC, ESA (1984).
14. R. Siegel and J. R. Howell, Thermal Radiation Heat Transfer (3rd Edn). Hemisphere, Washington DC (1992).
15. M. F. Modest, Radiative shape factors between differential ring elements on concentric axisymmetric bodies, J. Thermophysics 2 (1), 86-88 (1987).
16. E. M. Sparrow, Radiation heat transfer between surfaces, Adv. Heat Transfer 2, 399-452 (1965).
17. A. Cröll. Private communication (1996).
18. A. Cröll, W. Müller-Sebert, K. W. Benz and R. Nitsche, Natural and thermocapillary convection in partially confined silicon melt zones, Microgravity Sci. Technol. III, 204-215 (1991).
19. P. Dold, Einflüsse statischer und dynamischer Magnetfelder bei der Kristallzüchtung aus Metall- und Halbleiterschmelzen, Ph.D. Thesis, Albert-LudwigsUniversität, Freiburg (1994).
20. A. Cröll, P. Dold and K. W. Benz, Segregation in Si floating-zone crystals grown under microgravity and in a magnetic field, J. Crystal Growth 137, 95-101 (1994).
21. C. W. Lan and S. Kou, Thermocapillary flow and melt-solid interfaces in floating zone crystal growth under microgravity, J. Crystal Growth 102, 1043-1058 (1990).