EFFECTS OF BUOYANCY ON THE GROWTH OF DENDRITIC CRYSTALS

Annual Review of Heat Transfer

Volumn 7, Issue , 1996, Pages 59-139

  Lee, Youn Woo ^a   Smith, Richard N ^a   Glicksman, Martin E ^a   Koss, Matthew B ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

BUOYANCY; DIFFUSION; FLOW VELOCITY; GROWTH KINETICS; MICROGRAVITY PROCESSING; NATURAL CONVECTION; SUPERCOOLING;

CONVECTIVE EFFECTS; DENDRITIC CRYSTAL; DENDRITIC GROWTH; DENDRITIC SOLIDIFICATION; FUNDAMENTAL PHYSICS; GROWTH VELOCITY; HISTORICAL ACCOUNT; LOGICAL MODELS; NATURAL CONVECTION EFFECTS; THERMAL;

MICROGRAVITY;

EID: 0002988332     PISSN: 10490787     EISSN: 23750294     Source Type: Book Series    
DOI: 10.1615/AnnualRevHeatTransfer.v7.40     Document Type: Chapter

References (85)

1. w. Kurz and D. J. Fisher, Fundamentals of Solidification, Trans Tech Publications, Switzerland, 1986.
2. M. C Flemings, S. Z. Uram, and H. F. Taylor, Solidification of Aluminum Castings, Trans. AFS, Vol. 68, pp. 670-684, 1960.
3. G. F. Boiling and W. A. Tiller, Growth From the Melt UI — Dendritic Growth, /. Appi. Phys., Vol. 32, pp. 2587-2605, 1961.
4. K. A. Jackson and B. Chalmers, Kinetics of Solidification, Can. J. Phys., Vol. 34, pp. 473-90, 1956.
5. K. A. Jackson, D. R. Uhlmann, and J. D. Hunt, On the Nature of Crystal Growth from the Melt, in Growth and Perfection of Crystals, R. H. Doremus et al., Eds., Wiley, New York, pp. 319, 1958.
6. M. E. Glicksman, S. R. Coriell, and G. B. McFadden, Interaction of Flows with the Crystal-Meh Interface, in Annual Review of Fluid Mechanics, M. Van Dyke et al., Eds., 18, pp. 307-335, 1986.
7. F. P. Incropera and R. Viskanta, Effects of Convection on the Solidification of Binary Mixtures, in Heat and Mass Transfer in Materials Processing, I. Tanasawa and N. Lior, Eds., Hemisphere, New York, pp. 295-312, 1992.
8. M. E. Glicksman and S. P. Marsh, The Dendrite, in Handbook of Crystal Growth, D. T. J. Hurle, Ed., Vol. 1, Elsevier Science Publishers, Amsterdam, pp. 1077-1122,1993.
9. M. E. Glicksman, Fundamentals of Dendritic Crystal Growth, in Crystal Growth of Electronic Materials, E. Kaldis, Ed., Elsevier Science Publishers, Amsterdam, pp. 57-69, 1985.
10. G. P. Ivantsov, Temperature Field Around Spherical, Cylindrical and Needle-Shaped Crystals Which Grow in Supercooled Melt, Dokl. Akad. Nauk, SSR 58, pp. 567-569, 1947 (Translation by G. Horvay, General Electric Report 60-RL-2511M, 1960.
11. G. Horvay and J. W. Cahn, Dendrite and Spherical Growth, Acta Metall., Vol. 9, pp. 695-705, 1961.
12. J. S. Langer, Dendrites, Viscous Fingers, and the Theory of Pattern Formation, Science, Vol. 243, pp. 1150-1155, 1989.
13. R. F. Sekerka, R. G. Seidensticker, D. R. Hamilton, and J. D. Harrison, Investigation of Desalination by Freezing, Westinghouse Res. Lab. Rep., Ch. 3, 1967.
14. M. E. Glicksman and R. J. Schaefer, Investigation of Solid Liquid Interface Temperatures via Isenthalpic Solidification, /. Cryst. Growth, Vol. 1, pp. 297-310, 1967.
15. M. E. Glicksman and R. J. Schaefer, Comments on Theoretical Analyses of Isenthalpic SoUdification, J. Cryst. Growth, Vol. 2, pp. 239-242, 1968.
16. D. E. Temkin, Growth Rate of the Needle-Crystal Formed in a Supercooled Melt, Dokl. Akad. Nauk, SSR 132, pp. 609-613, 1960.
17. R. Trivedi, Growth of Dendrite Needles from a Supercooled Meh, Acta Met., Vol. 18, pp. 287-296, 1970.
18. G. E. Nash and M. E. Glicksman, Capillarity-Limited Steady-State Dendrite Growth, Acta Met., Vol. 22, pp. 1283-1299. 1974.
19. M. E. Glicksman, R. J. Schaefer, and J. D. Ayers, Dendritic Growth — A Test of Theory, Met. Trans. A, Vol. 7A, pp. 1747-1759, 1976.
20. R. J. Schaefer, M. E. Glicksman, and J. D. Ayers, High-Confidence Measurement of Solid/Liquid Surface Energy in a Pure Metal, Phil. Mag., Vol. 32, pp. 725-743,1975.
21. T. Fujioka, Study of Ice Growth in Slightly Undercooled Water, Ph.D. Dissertation, Carnegie-Mellon University, Pittsburgh, 1978.
22. J. S. Langer and H. Müller-Krumbhaar, Stability Effects in Dendritic Crystal Growth, J. Cryst. Growth, Vol. 43, pp. 11-14, 1977.
23. J. S. Langer and H. Müller-Krumbhaar, Theory of Dendritic Growth. I. Elements of a Stability Analysis, Acta Metall., Vol. 26, pp. 1681-1688, 1978.
24. J. S. Langer and H. Müller-Krumbhaar, Theory of Dendritic Growth. 11. Instabilities in the Lhnit of Vanishing Surface Tension, Acta Metall., Vol 26, pp. 1689-1696,1978.
25. J. S. Langer and H. Müller-Krumbhaar, Theory of Dendritic Growth, m. Effects of Surface Tension, Acta Metali. Vol. 26, pp. 1697-1708, 1978.
26. S.-C. Huang and M. E. Glicksman, Fundamentals of Dendritic Solidification: I. Steady-State Tip Growth, Acta Metall., Vol. 29, pp. 701-716, 1981.
27. S.-C. Huang and M. E. Glicksman, Fundamentals of Dendritic Solidification: n. Development of Sidebranch Structure, Acta Metali, Vol. 29, pp. 717-731, 1981.
28. M. Muschol, D. Liu, and H. Z. Cummins, Surface-Tension Anisotropy Measurements of Succinonitrile and Pivalic Acid: Comparison with Microscopic Solvability Theory, Phys. Rev. A., Vol. 46, pp. 103-1050, 1992.
29. Youn-Woo Lee, Pattern Formation and Convective Heat Transfer During Dendritic Crystal Growth, Ph.D. Dissertation, Rensselaer Polytechnic Łistinite, Troy, NY, 1991.
30. J. S. Langer, Instabilities and Pattern Formation in Crystal Growth, Rev. Mod. Phys., Vol. 52, pp. 1-28, 1980.
31. D. A. Kessler and H. Levine, Growth Velocity of Three-Dimensional Dendritic Crystals, Phys. Rev. A, Vol. 36, pp. 4123-4126, 1987.
32. M. E. Glicksman, Free Dendritic Growth, Mater. ScL Eng., Vol. 65, pp. 45-55,1984.
33. C. Lindenmeyer, Ph.D. Dissertation, Harvard University, 1959.
34. M. E. Glicksman, N. B. Singh, and M. Chopra, Influence of Diffusion + Convective Transport on Dendritic Growth in Dilute Alloys, in Materials Processing the Reduced Gravity Environment of Space, G. E. Rindone, Ed., Elsevier Publishers, Amsterdam, pp. 461-477, 1982.
35. J. Lipton, M. E. Glicksman, and W. Kurz, Dendritic Growth into Undercooled Alloy Metals, J. Mater. ScL Eng., Vol. 65, pp. 57-63, 1984.
36. J. Lipton, M. E. Glicksman, and W. Kurz, Equiaxed Dendrite Growth in Alloys at Small Supercoolings, Met. Trans. A, Vol. 18, pp. 341-345, 1987.
37. M. A. Chopra, M. E. Glicksman, and N. B. Singh, Dendritic Solidification in Binary Alloys, Met. Trans. A, Vol. 19, pp. 3087-3096, 1987.
38. J. P. Kallungal and A. J. Barduhn, Growth Rates of an Ice Crystal in Subcooled Pure Water, AIChE J., Vol. 23, pp. 294-303, 1977.
39. J. S. Huang and A. J. Barduhn, The Effect of Natural Convection on Ice Crystal Growth Rates in Sah Solutions, AIChE J., Vol. 31, pp. 747-752, 1985.
40. H. S. Tirmizi and W. N. Gill, Effect of Natural Convection on Growth Velocity and Morphology of Dendritic Ice Crystals, J. Ciystal Growth, Vol. 85, pp. 488-502, 1987.
41. H. S. Tirmizi and W. N. Gill, Experimental Investigation of the Dynamics of Spontaneous Pattern Formation During Dendritic Ice Crystal Growth, J. Crystal Growth, Vol. 98, pp. 33-42, 1989.
42. M. E. Glicksman and N. B. Singh, Microstructural Scaling Laws for Dendritically Solidified Aluminum Alloys, in Rapidly Solidified Powder Aluminum Alloys, M. R. Fine and E. A. Starke, Jr., Eds., ASTM STP 890, ASTM, Philadelphia, pp. 46-61,1986.
43. N. B. Singh and M. E. Glicksman, Effects of Crystal-Melt Interfacial Energy Anisot-ropy on Dendritic Morphology and Growth Kinetics, J. Crystal Growth, Vol. 98, pp. 277-284, 1989.
44. E. R. Rubinstein, The Effect of Crystalline Anisotropy on the Structure and Kinetics of Dendritic Growth, Ph.D. Dissertation, Rensselaer Polytechnic Institute, Troy, NY, 1989.
45. N. B. Singh and M. E. Glicksman, Free Dendritic Growth in Viscous Melts: Cyclohexanol, J. Crystal Growth, Vol. 98, pp. 534-540, 1989.
46. J. H. Bilgram, M. Firmann, and E. Hurlimann, Dendritic Solidification of Krypton and Xenon, J. Crystal Growth, Vol. 96, pp. 175-187, 1989.
47. M. E. Glicksman and S. C. Huang, Convective Heat Transfer During Dendritic Growth, in Convective Transport and Instability Phenomena, J. Zierip and H. Oertel, Jr., Eds., G. Braun Publishing Co., Karlsruhe, pp. 557-574, 1982.
48. M. E. Glicksman, N. B. Singh, and M. Chopra, Gravitational Effects in Dendritic Growth, in Manufacturing in Space, L. Kops, Ed., ASME Vol. PED-11, ASME, New York, pp. 207-218, 1983.
49. M. E. Glicksman, N. B. Singh, and M. Chopra, Influence of Diffusion and Convective Transport on Dendritic Growth in Dilute Alloys, in Materials Processing in the Reduced Gravity Environment of Space, G. E. Rindone, Ed., Materials Research Soc. Symposia Proc., 9, North-Holland, New York, pp. 461-477, 1982.
50. B. Cantor and A. Vogel, Stability of a Spherical Particle Growing from a Stirred Meh, J. Crystal Growth, Vol. 41, pp. 109-116, 1977.
51. S. Dash and W. N. Gill, Forced Convection Heat and Momentum Transfer to Dendritic Structures (Parabolic Cylinders and Paraboloids of Revolution), Int. J. Heat Mass Transfer, Vol. 27, pp. 1345-1356, 1984.
52. R. Ananth and W. N. Gill, The Effect of Convection on Axisymmetric Parabolic Dendrites, Chem. Eng. Comm., Vol. 68, pp. 1-14, 1988.
53. M. Kind, W. N. Gill, and R. Ananth, The Growth of Ice Dendrites Under Mixed Convection Conditions, Chem. Eng. Comm., Vol. 55, pp. 295-312, 1987.
54. R. Ananth and W. N. Gill, Dendritic Growth with Thermal Convection, J. Crystal Growth, Vol. 91, pp. 587-598, 1988.
55. R. Ananth and W. N. Gill, Dendritic Growth of an Elliptical Paraboloid with Forced Convection in the Melt, /. Fluid Mech., Vol. 208, pp. 575-593, 1989.
56. R. Ananth and W. N. Gill, Self-Consistent Theory of Dendritic Growth with Convection,/. Crystal Growth, Vol. 108, pp. 173-189, 1991.
57. K.-K. Koo, R. Ananth, and W. N. Gill, Thermal Convection, Morphological Stability and The Dendritic Growth of Crystals, AIChE J., Vol. 38, pp. 945-954, 1992.
58. K.-K. Koo, R. Ananth, and W. N. Gill, Tip Splitting in Dendritic Growth of Ice Crystals, Phys. Rev. A, Vol. 44, pp. 3782-3790,1991.
59. D. A. Kessler, J. Koplik, and H. Levine, Pattern Selection in Fingered Growth Phenomena, Adv. Phys., Vol. 37, pp. 255-339, 1988.
60. J. J. Xu, Asymptotic Behavior of Steady Dendritic Growth at Far Field, Phys. Rev. A, Vol. 37, pp. 3087-3095, 1988.
61. Y.-W. Lee, R. Ananth, and W. N. Gill, Selection of a Length Scale in Unconstrained Dendritic Growth with Convection in the Meh, J. Crystal Growth, Vol. 132, pp. 226-230, 1993.
62. Y.-W. Lee, W. N. Gill, and R. Ananth, Convective Heat Transfer During Dendritic Crystal Growth, in Proceedings of 3rd World Conf. on Experimental Heat Transfer, Fluid Mechanics, and Thermodynamics, M. O. Kelleher et al., Eds., Elsevier Science Publishers, Amsterdam, pp. 1696-1700, 1993.
63. Y.-W. Lee, W. N. Gill, and R. Ananth, Forced Convection Heat Transfer During Dendritic Crystal Growth: Local Solutions of Navier-Stokes Equations, Chem. Eng. Comm., Vol. 116, pp. 193-200, 1992.
64. Ph. Bouissou and P. Pelee, Effect of a Forced Flow on Dendritic Growth, Phys. Rev. A, Vol. 40, pp. 6673-6680, 1989.
65. Ph. Bouissou, B. Perrin, and P. Tabeling, Influence of an External Flow on Dendritic Crystal Growth, Phys. Rev. A, Vol. 40, pp. 509-512, 1989.
66. M. E. Glicksman, E. Winsa, R. C. Hahn, T. A. LoGrasso, S. H. Tirmizi, and M. E. Selleck, Isothermal Dendritic Growth — A Proposed Microgravity Experiment, Met. Trans. A, Vol. 19, pp. 1945-1953, 1988.
67. M. E. Glicksman, R. C. Hahn, M. B. Koss, S. H. Tirmizi, M. E. Selleck, A. Velosa, and E. Winsa, Isothermal Dendritic Growth Experiment: Science, Engineering, and Hardware Development for USMP Space Flights,Adv.Space Res., Vol. 11,pp. 53-57,1991.
68. M. E. Glicksman, M. B. Koss, L. Bushnell, J. LaCombe, R. N. Smith, and E. A. Winsa, The Effect of Buoyancy Convection on Dendritic Growth, in Heat Transfer in Microgravity, C. T. Avedisian and V. A. Arpaci, Eds., ASME HTD-Vol. 269, ASME, New York, pp. 7-12, 1993.
69. M. E. Glicksman, R. N. Smith, M. B. Koss, L. T. Bushnell, J. C. LaCombe, and E. A. Winsa, Experimental Study of Dendrite Growth in an Undercooled Melt Under Microgravity Conditions, in Heat Transfer in Microgravity Systems, S. Sadhal, Ed., to be published by ASME, New York, 1994.
70. M. E. Glicksman, M. B. Koss, and E. A. Winsa, Dendritic Growth Velocities in Microgravity, Phys. Rev. Lett., Vol. 73, pp. 573-576, 1994.
71. M. E. Glicksman, M. B. Koss, V. E. Fradkov, M. E. Rettenmayr, and S. S. Mani, Quantification of Crystal Morphology, J. Crystal Growth, Vol. 137, pp. 1-11,1994.
72. J. H. Bilgram, M. Firmarm, and W. Kanzig, Dendritic solidification of krypton, Phys. Rev. B, Vol. 37, pp. 685-688, 1988.
73. F. P. Incropera and D. P. DeWitt, Introduction to Heat Transfer, 2nd ed., Wiley, New York, 1990.
74. R. Viskanta, Natural Convection in Melting and Solidification, in Natural Convection: Fundamentals and Applications, A. Kakac, W. Aung, and R. Viskanta, Eds., Hemisphere, Washington, pp. 845-877, 1985.
75. R. Viskanta, Heat Transfer During Melting and Solidification of Metals, ASME J. Heat Transfer, Vol. 110. pp. 1205-1219, 1988.
76. L. S. Yao and J. Prusa, Melting and Freezing, in Advances in Heat Transfer, J. P. Hartnett and T. F. Irvine, Eds., Academic Press, New York, pp. 1-95, 1989.
77. J. R. Lloyd and E. M. Sparrow, Combined Force and Free Convection Flow on Vertical Surfaces, Int. J. Heat Mass Transfer, Vol. 13, pp. 434-38, 1970.
78. A. Bejan, Convection Heat Transfer, Wiley, New York, 1984.
79. R. F. Sekerka, S. R. Coriell, and G. B. McFadden, Stagnant Fihn Model of the Effect of Natural Convection on the Dendrite Operating State, J. Crystal Growth, Vol. 154, pp. 370-376. 1995.
80. V. Pines, A. Chait, and M. Zlatkowski, Thermal Diffusion Dominated Dendritic Growth—An Analysis of the Wall Proximity Effect, J. Crystal Growth, in press, 1996.
81. M. E. Glicksman, M. B. Koss, L. T. Bushneil, J. C. LaCombe, and E. A. Winsa, Dendritic Growth of Succinonitrile in Terrestrial and Microgravity Conditions as a Test of Theory, ISIJ International, Vol. 35, No. 6, p. 1216, 1995.
82. M. E. Glicksman, M. B. Koss, L. T. Bushneil, and J. C. LaCombe, The Isothermal Dendritic Growth Experiment: Implications for Theory, Modelling of Casting, Welding, and Advanced Solidification Processes VII, M. Cross and J. Cambell, Editors, TMS, Wanendale PA, pp. 663-670, 1995.
83. M. B. Koss, L. T. Bushneil, J. C. LaCombe, and M. E. Glicksman, The Effect of Convection on Dendritic Growth Under Microgravity Conditions, Chem. Eng. Comm., Vol. 152-153, pp. 351-363, 1996.
84. M. E. Glicksman, M. B. Koss, L. T. Bushneil, J. C. LaCombe, and E. A. Winsa, Convective Effects in Microgravity on Dendritic Growth Kinetics and Morphologies, AIAA Paper 96-0251, 34th Aerospace Sciences Meeting & Exhibit, Reno NV, January, 1996.
85. Y.-W. Lee, R. Ananth, and W. N. Gill, Preparation of Ultra-Pure Succinonitrile by Countercurrent Distillation for Crystal Growth, Chem. Eng. Comm., Vol. 152-153, pp. 41-52, 1996.