메뉴 건너뛰기




Volumn 40, Issue 8, 2001, Pages 702-716

Numerical study of the unstable thermocapillary flow in a silicon float zone under μ-g condition

Author keywords

Float zone; Instability; Micro gravity; Numerical simulation; Silicon; Thermocapillary flow convection; Transition

Indexed keywords


EID: 0035457226     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1290-0729(01)01259-5     Document Type: Article
Times cited : (19)

References (42)
  • 2
    • 0000573948 scopus 로고
    • Some evidence for the existence and a magnitude of a critical Marangoni number for the onset of oscillatory flow in crystal growth melts
    • Schwabe D., Sharmann A. Some evidence for the existence and a magnitude of a critical Marangoni number for the onset of oscillatory flow in crystal growth melts. J. Crystal Growth. 46:1979;125-131.
    • (1979) J. Crystal Growth , vol.46 , pp. 125-131
    • Schwabe, D.1    Sharmann, A.2
  • 3
    • 0348041316 scopus 로고
    • Marangoni convection in a floating zone under reduced gravity
    • Chun Ch.H. Marangoni convection in a floating zone under reduced gravity. J. Crystal Growth. 48:1980;600-610.
    • (1980) J. Crystal Growth , vol.48 , pp. 600-610
    • Chun, Ch.H.1
  • 4
    • 84971685596 scopus 로고
    • Steady and oscillatory thermocapillary convection in liquid columns with free cylindrical surface
    • Preisser F., Schwabe D., Sharmann A. Steady and oscillatory thermocapillary convection in liquid columns with free cylindrical surface. J. Fluid Mech. 126:1983;545-567.
    • (1983) J. Fluid Mech. , vol.126 , pp. 545-567
    • Preisser, F.1    Schwabe, D.2    Sharmann, A.3
  • 6
    • 0000685972 scopus 로고
    • The scientific results of the experiment on oscillatory Marangoni flow performed in telescience on texus 23
    • Monti R., Fortezza R. The scientific results of the experiment on oscillatory Marangoni flow performed in telescience on texus 23. Micrograv. Q. 1:1991;163.
    • (1991) Micrograv. Q. , vol.1 , pp. 163
    • Monti, R.1    Fortezza, R.2
  • 7
    • 0007128457 scopus 로고
    • The influence of buoyancy on the oscillatory thermocapillary convection with small Bond number
    • Paper No. IAF-88-365
    • th IAF Congress, Paper No. IAF-88-365, 1988.
    • (1988) th IAF Congress
    • Hu, W.R.1
  • 8
    • 0000288437 scopus 로고
    • A numerical study of Marangoni flows in zone-refined Silicon crystals
    • Kazarinoff N.D., Wilkowski J.S. A numerical study of Marangoni flows in zone-refined Silicon crystals. Phys. Fluids A. 1:1989;625-627.
    • (1989) Phys. Fluids A , vol.1 , pp. 625-627
    • Kazarinoff, N.D.1    Wilkowski, J.S.2
  • 9
    • 84987182667 scopus 로고
    • Influence of gravity on thermocapillary convection in floating zone melting of Silicon
    • Clark P.A., Wilcox W.R. Influence of gravity on thermocapillary convection in floating zone melting of Silicon. J. Cryst. Growth. 50:1980;461.
    • (1980) J. Cryst. Growth , vol.50 , pp. 461
    • Clark, P.A.1    Wilcox, W.R.2
  • 10
    • 0001170438 scopus 로고
    • Liquid bridges with thermocapillarities
    • Xu J.J., Davis S.H. Liquid bridges with thermocapillarities. Phys. Fluids. 26:1983;2880-2886.
    • (1983) Phys. Fluids , vol.26 , pp. 2880-2886
    • Xu, J.J.1    Davis, S.H.2
  • 11
    • 0001058167 scopus 로고
    • Thermocapillary effects in liquid bridges. I. Thermocapillary convection
    • Rybicki A., Florian J.M. Thermocapillary effects in liquid bridges. I. Thermocapillary convection. Phys. Fluids. 30:1987;1956.
    • (1987) Phys. Fluids , vol.30 , pp. 1956
    • Rybicki, A.1    Florian, J.M.2
  • 12
    • 0001058166 scopus 로고
    • Thermocapillary effects in liquid bridges. II. Deformation of the interface and capillary instability
    • Rybicki A., Florian J.M. Thermocapillary effects in liquid bridges. II. Deformation of the interface and capillary instability. Phys. Fluids. 30:1987;1973.
    • (1987) Phys. Fluids , vol.30 , pp. 1973
    • Rybicki, A.1    Florian, J.M.2
  • 13
    • 0002339440 scopus 로고
    • An analytical study of thermocapillary flow and surface deformation in floating zones
    • Chen G., Roux B. An analytical study of thermocapillary flow and surface deformation in floating zones. Micrograv. Q. 1:1991;73.
    • (1991) Micrograv. Q. , vol.1 , pp. 73
    • Chen, G.1    Roux, B.2
  • 14
    • 0007127519 scopus 로고
    • Marangoni-Stokes flow in axisymmetric bridges
    • Napolitano L.G., Viviani A. Marangoni-Stokes flow in axisymmetric bridges. Micrograv. Q. 2:1992;179.
    • (1992) Micrograv. Q. , vol.2 , pp. 179
    • Napolitano, L.G.1    Viviani, A.2
  • 15
    • 0007082648 scopus 로고
    • Three-dimensional Marangoni convection in the asymmetrically heated float zone
    • Chen H., Saghir M.Z. Three-dimensional Marangoni convection in the asymmetrically heated float zone. Micrograv. Q. 4:1994;39.
    • (1994) Micrograv. Q. , vol.4 , pp. 39
    • Chen, H.1    Saghir, M.Z.2
  • 17
    • 0003199215 scopus 로고
    • Floating zone melting of electronic materials in space
    • Paper no. AIAA-91-0507
    • th AIAA Conf. 1991;. Paper no. AIAA-91-0507.
    • (1991) th AIAA Conf.
    • Wilcox, W.R.1
  • 19
    • 0002519948 scopus 로고
    • Oscillatory thermocapillary convection in a simulated floating zone configuration
    • Kamotani Y., Ostrach S., Vargas M. Oscillatory thermocapillary convection in a simulated floating zone configuration. J. Crystal Growth. 66:1984;83-90.
    • (1984) J. Crystal Growth , vol.66 , pp. 83-90
    • Kamotani, Y.1    Ostrach, S.2    Vargas, M.3
  • 20
    • 0024890027 scopus 로고
    • Oscillatory thermocapillary flow in a liquid column heated by a ring heater
    • Kamotani Y., Lee K.J. Oscillatory thermocapillary flow in a liquid column heated by a ring heater. Physico-Chemical Hydrodynamics. 11:1989;729-736.
    • (1989) Physico-Chemical Hydrodynamics , vol.11 , pp. 729-736
    • Kamotani, Y.1    Lee, K.J.2
  • 21
    • 0023535048 scopus 로고
    • Surface driven flows: Recent theoretical and experimental results
    • Napolitano L.G., Monti R. Surface driven flows: recent theoretical and experimental results. ESA SP. 256:1987;551-555.
    • (1987) ESA SP , vol.256 , pp. 551-555
    • Napolitano, L.G.1    Monti, R.2
  • 22
    • 0024737576 scopus 로고
    • Three-dimensional time-dependent modeling of the Marangoni convection in zone melting configuration of GaAs
    • Rupp R., Müller G., Neumann G. Three-dimensional time-dependent modeling of the Marangoni convection in zone melting configuration of GaAs. J. Crystal Growth. 97:(1):1989;34-41.
    • (1989) J. Crystal Growth , vol.97 , Issue.1 , pp. 34-41
    • Rupp, R.1    Müller, G.2    Neumann, G.3
  • 24
    • 0007028654 scopus 로고
    • Period tripling and subharmonic oscillations in Marangoni flows in a cylindrical liquid bridge
    • R. Wong. New York: Dekker
    • Kazarinoff N.D., Wilkowski J.S. Period tripling and subharmonic oscillations in Marangoni flows in a cylindrical liquid bridge. Wong R. Proc. Int. Symp. On Asymptotic Comput. Anal. 1990;265-283 Dekker, New York.
    • (1990) Proc. Int. Symp. On Asymptotic Comput. Anal. , pp. 265-283
    • Kazarinoff, N.D.1    Wilkowski, J.S.2
  • 25
    • 0028052317 scopus 로고
    • Comments on the numerical investigation of Rayleigh and Marangoni convection in a vertical circular cylinder
    • Wagner C., Friedrich R. Comments on the numerical investigation of Rayleigh and Marangoni convection in a vertical circular cylinder. Phys. Fluids. 6:1994;1425.
    • (1994) Phys. Fluids , vol.6 , pp. 1425
    • Wagner, C.1    Friedrich, R.2
  • 26
    • 0029347309 scopus 로고
    • Hydrodynamical instabilities of thermocapillary flow in a half-zone
    • Levenstam M., Amberg G. Hydrodynamical instabilities of thermocapillary flow in a half-zone. J. Fluid Mech. 297:1995;357-372.
    • (1995) J. Fluid Mech. , vol.297 , pp. 357-372
    • Levenstam, M.1    Amberg, G.2
  • 27
    • 0000012336 scopus 로고    scopus 로고
    • Oscillatory Marangoni convection in cylindrical liquid bridges
    • Savino R., Monti R. Oscillatory Marangoni convection in cylindrical liquid bridges. Phys. Fluids. 8:(11):1996;2906-2922.
    • (1996) Phys. Fluids , vol.8 , Issue.11 , pp. 2906-2922
    • Savino, R.1    Monti, R.2
  • 28
    • 24244445606 scopus 로고    scopus 로고
    • Transient behaviors of Float Zones under 1- g and μ - g Environments - the Laminar-Oscillatory-Transition
    • Ph.D. thesis, Department of Mechanical Engineering, Université de Sherbrooke, Québec, Canada 239 p
    • Bazzi H., Transient behaviors of Float Zones under 1- g and μ - g Environments - the Laminar-Oscillatory-Transition "Etude numérique de l'écoulement transitoire dans une zone flottante - La transition axisymétrique/oscillatoire", Ph.D. thesis, Department of Mechanical Engineering, Université de Sherbrooke, Québec, Canada, 1999, 239 p.
    • (1999) "Etude numérique de l'écoulement transitoire dans une zone flottante - La transition axisymétrique/oscillatoire"
    • Bazzi, H.1
  • 30
    • 0007137041 scopus 로고    scopus 로고
    • Innovative Research Inc. Reference Manual, Maple Grove, Minnesota (USA)
    • Innovative Research Inc. microCOMPACT V. 4.0, Reference Manual, Maple Grove, Minnesota (USA), 1996.
    • (1996) microCOMPACT V. 4.0
  • 31
    • 24244448220 scopus 로고    scopus 로고
    • Oscillatory thermocapillary flow in Silicon float zone under μ - g condition
    • Bazzi H., Nguyen C.T., Galanis N. Oscillatory thermocapillary flow in Silicon float zone under μ - g condition. Proceedings of 11 IHTC, Vol. 4. 1998;429-434.
    • (1998) Proceedings of 11 IHTC, Vol. 4 , pp. 429-434
    • Bazzi, H.1    Nguyen, C.T.2    Galanis, N.3
  • 32
    • 84998518862 scopus 로고
    • Natural and Marangoni convection in a floating zones
    • Okano Y., Hatano A., Hirata A. Natural and Marangoni convection in a floating zones. J. Chem. Engrg. Japan. 22:(4):1989;385-388.
    • (1989) J. Chem. Engrg. Japan , vol.22 , Issue.4 , pp. 385-388
    • Okano, Y.1    Hatano, A.2    Hirata, A.3
  • 36
    • 0000281076 scopus 로고
    • The instability of the thin vortex ring of constant vorticity
    • Widnall, Tsai. The instability of the thin vortex ring of constant vorticity. Proceeding. R. Soc. Londres A287. 1977.
    • (1977) Proceeding. R. Soc. Londres A287
    • Widnall Tsai1
  • 37
    • 0024718071 scopus 로고
    • The critical Marangoni number for the onset of time-dependent convection in Silicone
    • Cröll A., Müller-Sebert W., Nitsche R. The critical Marangoni number for the onset of time-dependent convection in Silicone. Materials Res. Bull. 24:1989;995-1004.
    • (1989) Materials Res. Bull , vol.24 , pp. 995-1004
    • Cröll, A.1    Müller-Sebert, W.2    Nitsche, R.3
  • 38
    • 0007127520 scopus 로고    scopus 로고
    • Numerical simulation of oscillatory Marangoni convective flow inside a cylindrical liquid zone
    • Bazzi H., Nguyen C.T., Galanis N. Numerical simulation of oscillatory Marangoni convective flow inside a cylindrical liquid zone. Internat. J. Therm. Sci. 38:1999;863-878.
    • (1999) Internat. J. Therm. Sci. , vol.38 , pp. 863-878
    • Bazzi, H.1    Nguyen, C.T.2    Galanis, N.3
  • 40
    • 0033902135 scopus 로고    scopus 로고
    • Transient behaviours of float zones in μ - g and 1 - g environments
    • Lewis R.W.
    • Bazzi H., Nguyen C.T., Galanis N. Transient behaviours of float zones in μ - g and 1 - g environments. Lewis R.W. Internat. J. Numer. Meth. Heat Fluid Flow. 10:(3):2000;307-333.
    • (2000) Internat. J. Numer. Meth. Heat Fluid Flow , vol.10 , Issue.3 , pp. 307-333
    • Bazzi, H.1    Nguyen, C.T.2    Galanis, N.3
  • 41
    • 0024032235 scopus 로고
    • Theory of transport process in single crystal growth from the melt
    • Brown R.A. Theory of transport process in single crystal growth from the melt. A. I. Chem. E. J. 34:(6):1988;881-911.
    • (1988) A. I. Chem. E. J. , vol.34 , Issue.6 , pp. 881-911
    • Brown, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.