Journal of the Korean Crystal Growth and Crystal Technology (한국결정성장학회지)

The Korea Association of Crystal Growth (한국결정성장학회)
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Effects of impurity (N2) on thermo-solutal convection during the physical vapor transport processes of mercurous chloride

  • Kim, Geug-Tae (Department of Nano-Bio Chemical Engineering, Hannam University) ;
  • Kim, Young-Joo (Bioinformatics Research Center, Korea Research Institute of Bioscience and Biotechnology)
  • Received : 2010.04.26
  • Accepted : 2010.06.20
  • Published : 2010.06.30
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Abstract

For Ar=5, Pr=1.18, Le=0.15, Pe=2.89, Cv=1.06, $P_B$=20 Torr, the effects of impurity $(N_2)$ on thermally and solutally buoyancy-driven convection ($Gr_t=3.46{\times}10^4$ and $Gr_s=6.02{\times}10^5$, respectively) are theoretically investigated for further understanding and insight into an essence of thermo-solutal convection occurring in the vapor phase during the physical vapor transport. For $10K{\leq}{\Delta}T{\leq}50K$, the crystal growth rates are intimately related and linearly proportional to a temperature difference between the source and crystal region which is a driving force for thermally buoyancy-driven convection. Moreover, both the dimensionless Peclet number (Pe) and dimensional maximum velocity magnitudes are directly and linearly proportional to ${\Delta}T$. The growth rate is second order-exponentially decayed for $2{\leq}Ar{\leq}5$. This is related to a finding that the effects of side walls tend to stabilize the thermo-solutal convection in the growth reactor. Finally, the growth rate is found to be first order exponentially decayed for $10{\leq}P_B{\leq}200$ Torr.

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References

  1. N.B. Singh, M. Gottlieb, G.B. Brandt, A.M. Stewart, R. Mazelsky and M.E. Glicksman, "Growth and characterization of mercurous halide crystals:mercurous bromide system," J. Crystal Growth 137 (1994) 155. https://doi.org/10.1016/0022-0248(94)91265-3
  2. N.B. Singh, R.H. Hopkins, R. Mazelsky and J.J. Conroy, "Purification and growth of mercurous chloride single crystals," J. Crystal Growth 75 (1970) 173.
  3. S.J. Yosim and S.W. Mayer, "The mercury-mercuric chloride system," J. Phys. Chem. 60 (1960) 909.
  4. F. Rosenberger, "Fluid dynamics in crystal growth from vapors," Physico-Chemical Hydro-dynamics 1 (1980).
  5. N.B. Singh, M. Gottlieb, A.P. Goutzoulis, R.H. Hopkins and R. Mazelsky, "Mercurous Bromide acousto-optic devices," J. Crystal Growth 89 (1988) 527. https://doi.org/10.1016/0022-0248(88)90215-1
  6. B.L. Markham, D.W. Greenwell and F. Rosenberger, "Numerical modeling of diffusive-convective physical vapor transport in cylindrical vertical ampoules," J. Crystal Growth 51 (1981) 426. https://doi.org/10.1016/0022-0248(81)90419-X
  7. W.M.B. Duval, "Convection in the physical vapor transport process-- I: Thermal," J. Chemical Vapor Deposition 2 (1994) 188.
  8. A. Nadarajah, F. Rosenberger and J. Alexander, "Effects of buoyancy-driven flow and thermal boundary conditions on physical vapor transport," J. Crystal Growth 118 (1992) 49. https://doi.org/10.1016/0022-0248(92)90048-N
  9. H. Zhou, A. Zebib, S. Trivedi and W.M.B. Duval, "Physical vapor transport of zinc-telluride by dissociative sublimation," J. Crystal Growth 167 (1996) 534. https://doi.org/10.1016/0022-0248(96)00305-3
  10. F. Rosenberger, J. Ouazzani, I. Viohl and N. Buchan, "Physical vapor transport revised," J. Crystal Growth 171 (1997) 270. https://doi.org/10.1016/S0022-0248(96)00717-8
  11. G.T. Kim, W.M.B. Duval, N.B. Singh and M.E. Glicksman "Thermal convective effects on physcial vapor transport growth of mercurous chloride crystals $(Hg_{2}Cl_{2})$ for axisymmetric 2-D cylindrica lenclosure," Modelling. Simul. Mater. Sci. Eng. 3 (1995) 331.
  12. G.T. Kim, W.M.B. Duval and M.E. Glicksman "Thermal convection in physical vapour transport of mercurous chloride $(Hg_{2}Cl_{2})$ for rectangular enclosures," Modelling. Simul. Mater. Sci. Eng. 5 (1997) 289. https://doi.org/10.1088/0965-0393/5/3/007
  13. G.T. Kim, W.M.B. Duval and M.E. Glicksman "Effects of asymmetric temperature profiles on thermal convection during physical vapor transport of $Hg_{2}Cl_{2}$," Chem. Eng. Comm. 162 (1997) 45. https://doi.org/10.1080/00986449708936631
  14. J.-G. Choi, K.-H. Lee, M.-H. Kwon and G.-T. Kim, "Effect of accelerational perturbations on physical vapor transport crystal growth under microgravity environments", J. Korean Crystal Growth and Crystal Technology 16 (2006) 203.
  15. G.-T. Kim and K.-H. Lee, "Parametric studies on convection during the physical vapor transport of mercurous chloride $(Hg_{2}Cl_{2})$", J. Korean Crystal Growth and Crystal Technology 14 (2004) 281.
  16. G.T. Kim, "Convective-diffusive transport in mercurous chloride $(Hg_{2}Cl_{2})$ crystal growth", J. Ceramic Processing Research 6 (2005) 110.
  17. J.-G. Choi, K.-H. Lee and G.-T. Kim, "Effects of inert gas (Ne) on thermal convection of mercurous chloride system of $Hg_{2}Cl_{2}$ and Ne during physical vapor transport, J. Korean Crystal Growth and Crystal Technology 18 (2008) 225.
  18. J.-G. Choi, K.-H. Lee and G.-T. Kim, "Generic studies on thermo-solutal convection of mercurous chloride system of $Hg_{2}Cl_{2}$ and Ne during physical vapor transport", J. Korean Crystal Growth and Crystal Technology 1 (2009) 39.
  19. G.-T. Kim, M.-H. Kwon and K.-H. Lee, "Effects of thermal boundary conditions and microgravity environments on physical vapor transport of $Hg_{2}Cl_{2}-Xe$ system", J. Korean Crystal Growth and Crystal Technology 19 (2009) 172.
  20. J.-G. Choi, M.-H. Kwon and G.-T. Kim, "Effects of total pressure and gravity level on the physical vapor transport of $Hg_{2}Cl_{2}-Cl_{2}$ system", J. Korean Crystal Growth and Crystal Technology 19 (2009) 116.
  21. G.-T. Kim and M.H. Kwon, "Theoretical gravity studies on roles of convection in crystal growth of $Hg_{2}Cl_{2}-Xe$by physical vapor transport transport under normal and high gravity environments", J. Korean Crystal Growth and Crystal Technology 19 (2009) 107.
  22. N.B. Singh, R. Mazelsky and M.E. Glicksman, "Evaluation of transport conditions during PVT: mercurous chloride system", PhysicoChemical Hydrodynamics 11 (1989) 41.
  23. F. Rosenberger and G. Muller, "Interfacial transport in crystal growth, a parameter comparison of convective effects", J. Crystal Growth 65 (1983) 91. https://doi.org/10.1016/0022-0248(83)90043-X
  24. M. Kassemi and W.M.B. Duval, "Interaction of surface radiation with convection in crystal growth by physical vapor transport", J. Thermophys. Heat Transfer 4 (1989) 454.
  25. R.B. Bird, W.E. Stewart and E.N. Lightfoot, "Transport Phenomena" (John Wiley and Sons, New York, NY, 1960).
  26. C. Mennetrier and W.M.B. Duval, "Thermal-solutal convection with conduction effects inside a rectangular enclosure", NASA Technical Memorandum 105371 (1991).
  27. S.V. Patankar, "Numerical Heat Transfer and Fluid Flow" (Hemisphere Publishing Corp., Washington D. C., 1980).
  28. N.B. Singh and W.M.B. Duval, "Growth kinetics of physical vapor transport processes: crystal growth of the optoelectronic material mercurous chloride", NASA Technical Memorandum 103788 (1991).
  29. C. Mennetrier, W.M.B. Duval and N.B. Singh, "Physical vapor transport of mercurous chloride under a nonlinear thermal profile", NASA Technical Memorandum 105920 (1992).
  30. I. Catton, "Effect of wall conducting on the stability of a fluid in a rectangular region heated from below", J. Heat Transfer 94 (1972) 446. https://doi.org/10.1115/1.3449966