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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 28, 1995 - Issue 3
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Original Articles

TRANSIENT BEHAVIOR OF A NaNO3 FLOAT ZONE OPERATING AT HIGH MARANGONI NUMBER UNDER μg CONDITIONS

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Pages 299-320 | Received 18 Oct 1994, Accepted 10 Feb 1995, Published online: 02 Mar 2007

REFERENCES

  • W. G. Pfann, Zone Melting, ed. , 2nd , Wiley , New York , 1966 .
  • et al. , Experiments on Surface Tension Driven Flow in Floating Zone Melting , J. Crystal Growth , vol. 43 , pp. 305 – 312 , 1978 .
  • D. Schwabe , A. Scharmann , and F. Preisser , Steady and Oscillatory Marangoni Convection in Floating Zone Under 1-g, Proc. 3rd European Symp. on Materials and Fluid Sciences in Space, ESA SP-142 , 1979 .
  • D. Schwabe , F. Preisser , and A. Scharmann , Verification of the Oscillatory State of Thermocapillary Convection in Floating Zone Under Low Gravity , Acta Astronaut. , vol. 9 , no. 4 , pp. 265 – 273 , 1982 .
  • D. Schwabe , R. Lamprecht , and A. Scharmann , Experiments on Steady and Oscillatory Thermocapillary Convection in Space with Applications to Crystal Growth , in M. G. Velarde (ed.), Physico-Chemical Hydrodynamics Interfacial Phenomena , pp. 291 – 310 , Plenum , New York , 1989 .
  • D. Schwabe , R. Velten , and A. Scharmann , The Instability of Surface Tension Driven Flow in Models for Floating Zones Under Normal and Reduced Gravity , Acta Astronaut. , vol. 99 , pp. 1258 – 1264 , 1990 .
  • D, Schwabe and A. Scharmann , Some Evidence for the Existence and Magnitude of a Critical Marangoni Number for the Onset of Oscillatory Flow in Crystal Growth Melts , J. Crystal Growth , vol. 46 , pp. 125 – 131 , 1979 .
  • D. Schwabe and A. Scharmann , Oscillatory Thermocapillary Convection in Floating Zones Under Normal- and Micro-Gravity , Adv. Space Res. , vol. 3 , no. 5 , pp. 89 – 92 , 1983 .
  • D. Schwabe and A. Scharmann , Microgravity Experiments on the Transition from Laminar to Oscillatory Thermocapillary Convection in Floating Zones, Adv. Space Res. , vol. 4, no. 5, pp. 43–47, 1984.
  • F. Preisser , D. Schwabe , and A. Scharmann , Steady and Oscillatory Thermocapillary Convection in Liquid Columns with Free Cylindrical Surface , J. Fluid Mech. , vol. 126 , pp. 545 – 567 , 1983 .
  • Ch. H. Chun , Marangoni Convection in a Floating Zone Under Reduced Gravity , J. Crystal Growth , vol. 48 , pp. 600 – 610 , 1980 .
  • Ch. H. Chun and W. Wuest , Flow Phenomena in Rotating Floating Zones with and Without Marangoni Convection , Proc. 3rd European Symp. on Materials and Fluid Sciences in Space , ESA SP-142 , pp. 283 – 288 , 1979 .
  • Ch. H. Chun and W. Wuest , Correlation of Oscillations of Flow and Temperature in Floating Zone Under Microgravity , Adv. Space Res. , vol. 1 , pp. 17 – 20 , 1981 .
  • Ch. H. Chun and W. Wuest , Suppression of Temperature Oscillations of Thermocapillary Marangoni Convection in a Floating Zone by Superimposing of Rotating Flows , Acta Astronaut. , vol. 9 , no. 4 , pp. 225 – 230 , 1982 .
  • Ch. H. Chun and W. Wuest , Free-Surface Vibration of a Floating Zone Induced by Surface-Tension-Driven Oscillating Flow , Proc. 4th European Symp. on Materials and Fluid Sciences Under Microgravity , ESA SP-191 , pp. 205 – 211 , 1983 .
  • D. Schwabe , Surface-Tension-Driven Flow in Crystal Growth Melts , Crystals , vol. 11 , pp. 75 – 112 , 1988 .
  • W. R. Wilcox Floating Zone Melting of Electronic Materials in Space , Proc. 29th AIAA Conf. , Paper AIAA-91-0507 , 1991 .
  • C. H. Chun and D. Schwabe , Marangoni Convection in Floating Zones , in et al. (eds.), Convective Transport and Instability Phenomena , pp. 297 – 317 , Braun , Karlsruhe , 1982 .
  • L. G. Napolitano , Surface and Buoyancy Free Convection , Acta Astronaut. , vol. 9 , no. 4 , pp. 199 – 215 , 1982 .
  • S. Ostrach , Low-Gravity Fluid Flows , Annu. Rev. Fluid Mech. , vol. 14 , pp. 313 – 345 , 1982 .
  • R. Velten , D. Schwabe , and A. Scharmann , Gravity-Dependence of the Instability of Surface-Tension-Driven Flow in Floating Zones , Proc. 7th European Symp. on Materials and Fluid Sciences in Microgravity , ESA SP-295 , 1990 .
  • M. Vargas , S. Ostrach , and Y. Kamotani , Surface Tension Driven Convection in Simulated Floating Zone Configuration , Case Western Reserve University Report , 1982 .
  • Y. Kamotani , S. Ostrach , and M. Vargas , Oscillatory Thermocapillary Convection in a Simulated Floating-Zone Configuration , J. Crystal Growth , vol. 66 , pp. 83 – 90 , 1984 .
  • S. Ostrach , Y. Kamotani , and C. L. Lai , Oscillatory Thermocapillary Flows , Phys. Chem. Hydroyn. , vol. 6 ., pp. 585 – 599 , 1985 .
  • Y. Kamotani and K. J. Lee , Oscillatory Thermocapillary Flow in a Liquid Column Heated by a Ring Heater , Phys. Chem. Hydrodyn. , vol. 11 , pp. 729 – 736 , 1989 .
  • L. G. Napolitano and R. Monti , Surface Driven Flows Recent Theoretical and Experimental Results , ESA SP 256 , pp. 551 – 555 , 1987 .
  • R. Rupp , G. Müller , and G. Neumann , Three-Dimensional Time-Dependent Modelling of the Marangoni Convection in Zone Melting Configuration of GaAs , J. Crystal Growth , vol. 97 , no. 1 , pp. 34 – 41 , 1989 .
  • N. D. Kazarinoff and J. S. Wilkowski , A Numerical Study of Marangoni Flows in Zone-Refined Silicon Crystals , Phys. Fluids , vol. A1 , pp. 625 – 627 , 1989 .
  • N. D. Kazarinoff and J. S. Wilkowski , Marangoni Flows in a Cylindrical Liquid Bridge of Silicon , in B. Roux (ed.), Numerical Simulation of Oscillatory Convection in Low Pr Fluids , pp. 65 – 73 , Vieweg , Braunschweig , 1990 .
  • N. D. Kazarinoff and J. S. Wilkowski , Period Tripling and Subharmonic Oscillations in Marangoni Flows in a Cylindrical Liquid Bridge, Proc. Int. Symp. on Asymptotic Comput. Anal., Lect. Notes Pure Appl. Math. , vol. 24, pp. 265–283, 1990.
  • N. D. Kazarinoff and J. S. Wilkowski , Bifurcation of Numerically Simulated Thermocapillary Flows in Axially Symmetric Float Zones , Phys. Fluid , vol. A2 , no. 10 , pp. 1797 – 1807 , p1990. p
  • et al. , Étude de l'Instabilité d'une Zone Flottante Opérant dans les Conditions Critiques en 1-g et μ-g , Report presented to the Canadian Space Agency , 129 pp., 1994 .
  • S. W. Yuan Foundations of Fluid Mechanics , Prentice-Hall , Englewood Cliffs , New Jersey , 1967 .
  • Innovative Research Inc. , microCOMPACT V. 2.1—Reference Manual , Maple Grove , Minnesota , 1991 .
  • S. V. Patankar Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington , D.C. , 1980 .
  • et al. , Étude des Effets de la Rotation Induite par les Bouts sur une Zone Flottante dans un Champ Gravitationnel Normal et Réduit , Report presented to the Canadian Space Agency , 120 pp., 1994 .
  • Y. Okano , A. Hatano , and A. Hirata , Natural and Marangoni Convection in a Floating Zone , J. Chem. Eng. Jpn. , vol. 22 , pp. 385 – 388 , 1989 .
  • L J. Peltier and S. Biringen , Time-Dependent Thermocapillary Convection in a Rectangular Cavity Numerical Results for a Moderate Prandtl Number Fluid , J. Fluid Mech. , vol. 257 , pp. 339 – 357 , 1993 .

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