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Volumn 2, Issue 2, 2001, Pages 155-170

Three-dimensional numerical simulation of unsteady Marangoni convection in the CZ method using GSMAC-FEM

Author keywords

Czochralski method vertical magnetic field; GSMAC FEM; Marangoni convection

Indexed keywords


EID: 0000593620     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (2)

References (10)
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    • The effect of oxygen on the Marangoni flow of molten silicon
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    • (2000) ISIJ International , vol.40
    • Azami, T.1    Nakamura, S.2    Hibiya, T.3    Mukai, K.4
  • 2
    • 0031190241 scopus 로고    scopus 로고
    • Temporal and spatial elements of thermocapillary convection in floating zones
    • Frank, S.; Schwabe, D. (1997): Temporal and spatial elements of thermocapillary convection in floating zones. Experiments in Fluids, vol. 23, pp. 234-251.
    • (1997) Experiments in Fluids , vol.23 , pp. 234-251
    • Frank, S.1    Schwabe, D.2
  • 3
    • 0032658159 scopus 로고    scopus 로고
    • Three dimensional numerical simulation of oscillatory Marangoni flow in half-zone of low Pr fluids
    • Imaishi, N.; Yasuhiro, S.; Sato, T.; Yoda, S. (1999): Three dimensional numerical simulation of oscillatory Marangoni flow in half-zone of low Pr fluids. SPIE, vol. 3792, pp. 344-352.
    • (1999) SPIE , vol.3792 , pp. 344-352
    • Imaishi, N.1    Yasuhiro, S.2    Sato, T.3    Yoda, S.4
  • 4
    • 0031249536 scopus 로고    scopus 로고
    • Experiments on the oscillatory convection of low Prandtl number liquid in Czochralski configuration for crystal growth with cusp magnetic field
    • Lee, Y. -S.; Chun, Ch. -H. (1997): Experiments on the oscillatory convection of low Prandtl number liquid in Czochralski configuration for crystal growth with cusp magnetic field. J. Crystal Growth, vol. 180, pp. 477-486.
    • (1997) J. Crystal Growth , vol.180 , pp. 477-486
    • Lee, Y.-S.1    Chun, Ch.-H.2
  • 5
    • 0032022298 scopus 로고    scopus 로고
    • Temperature fluctuations of the Marangoni flow in a liquid bridge of molten silicon under microgravity on board the TR1-A-4 rocket
    • Nakamura, S.; Hibiya, T.; Kakimoto, K.; Imaishi, N.; Nishizawa, S.; Hirata, A.; Mukai, K.; Yoda, S.; Morita, T.S. (1998): Temperature fluctuations of the Marangoni flow in a liquid bridge of molten silicon under microgravity on board the TR1-A-4 rocket. J. Crystal Growth, vol. 186, pp. 85-94.
    • (1998) J. Crystal Growth , vol.186 , pp. 85-94
    • Nakamura, S.1    Hibiya, T.2    Kakimoto, K.3    Imaishi, N.4    Nishizawa, S.5    Hirata, A.6    Mukai, K.7    Yoda, S.8    Morita, T.S.9
  • 6
    • 0000573948 scopus 로고
    • Some evidence for the existence and magnitude of a critical Marangoni number for the one set of oscillatory flow in crystal growth melt
    • Schwabe, D; Scharmann, A. (1979): Some evidence for the existence and magnitude of a critical Marangoni number for the one set of oscillatory flow in crystal growth melt. J. Crystal Growth, vol. 46, pp. 125-131.
    • (1979) J. Crystal Growth , vol.46 , pp. 125-131
    • Schwabe, D.1    Scharmann, A.2
  • 7
    • 0034206475 scopus 로고    scopus 로고
    • Optical measurement of resonant oscillation and Marangoni convection-induced oscillation in a molten silicon surface
    • Sumiji, M.; Nakamura, S.; Omura, K.; Hibiya, T. (2000): Optical measurement of resonant oscillation and Marangoni convection-induced oscillation in a molten silicon surface. Jpn. J. Appl. Phys., vol. 39, pp. 3688-3693.
    • (2000) Jpn. J. Appl. Phys. , vol.39 , pp. 3688-3693
    • Sumiji, M.1    Nakamura, S.2    Omura, K.3    Hibiya, T.4
  • 8
    • 84987566686 scopus 로고
    • GSMAC finite element method for unsteady incompressible Navier-Stokes equations at high Reynolds numbers
    • Tanahashi, T.; Okanaga, H.; Saito, T. (1993): GSMAC finite element method for unsteady incompressible Navier-Stokes equations at high Reynolds numbers. Inter. J. Numerical Methods in Fluids, vol. 11, pp. 479-499.
    • (1993) Inter. J. Numerical Methods in Fluids , vol.11 , pp. 479-499
    • Tanahashi, T.1    Okanaga, H.2    Saito, T.3
  • 9
    • 0012228956 scopus 로고
    • An application of GSMAC-FEM to electrically conducting fluid flows driven by Lorentz force
    • Tanahashi, T.; Oki, Y.; Henjes, K. (1993): An application of GSMAC-FEM to electrically conducting fluid flows driven by Lorentz force. Comp. Fluid Dyn., vol. 1, pp. 233-248.
    • (1993) Comp. Fluid Dyn. , vol.1 , pp. 233-248
    • Tanahashi, T.1    Oki, Y.2    Henjes, K.3
  • 10
    • 0033516415 scopus 로고    scopus 로고
    • Direct numerical simulation of oscillatory Marangoni convection in cylindrical liquid bridges
    • Zeng, Z.; Mizuseki, H.; Higashino, K.; Kawazoe, Y. (1999): Direct numerical simulation of oscillatory Marangoni convection in cylindrical liquid bridges. J. Crystal Growth, vol. 204, pp. 395-404.
    • (1999) J. Crystal Growth , vol.204 , pp. 395-404
    • Zeng, Z.1    Mizuseki, H.2    Higashino, K.3    Kawazoe, Y.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.