Abstract
Data reported by Glicksman, Schaefer and Ayers1 on dendritic growth kinetics in undercooled succinotrile have been reanalyzed using the Trivedi model of dendritic growth, after relaxation of the arbitrary requirement that the dendrite grows with a tip radius, ρ max, that gives the maximum velocity, Vmax The experimental results, for both tip radius and growth velocity, fit the Trivedi model with a tip radius some 2 to 4 times greater than ρmax. The tip radius adopted by a dendrite growing in liquid at a given undercooling, appears to correspond to the radius which gives relative instability of a sphere growing in liquid with the same undercooling. The experimental results also give qualitative support to the model recently proposed by Cantor and Vogel for the influence of fluid flow on dendritic growth.
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M. E. Glicksman, R. J. Schaefer, and J. D. Ayers:Met. Trans. A, 1976, vol. 7A, pp. 1747–59.
A. Jackson and J. D. Hunt:Acta Met., 1965, vol. 13, pp. 1212–15.
G. F. Boiling and W. A. Tiller:J. Appl. Phys., 1961, vol. 32, pp. 2587–2605.
R. D. Doherty, E. A. Feest, and K. Holm:Met. Trans., 1973, vol. 4, pp. 115–24.
M. H. Burden and J. D. Hunt:J. Cryst. Growth, 1974, vol. 22, pp. 99–113.
G. P. Ivantsov:Dokl Akad. Nauk, USSR, 1947, vol. 58, p. 567.
R. D. Doherty:Crystal Growth, B. Pamplin, ed., pp. 576–93, Pergamon Press, Oxford, 1975.
R. Trivedi:Acta Met., 1970, vol. 18, pp. 287–96.
G. E. Nash and M. E. Glicksman:Acta Met., 1974, vol. 22, pp. 1283–99.
S. Fairs, B. Cantor, and R. D. Doherty: unpublished research.
J. W. Cahn, W. B. Hillig, and G. W. Sears:Acta Met., 1964, vol. 12, pp. 1421–39.
J. D. Hunt:Second Int. Conf. on In-Situ Composites, M. R. Jackson, J. L. Walter, F. D. Lemkey, and R. W. Hertzberg, eds., p. 233, Xerox Publishing, Lexington, 1976.
B. E. Sundquist:Acta Met., 1968, vol. 16, pp. 1413–27.
B. E. Sundquist:Met. Trans., 1973, vol. 4, pp. 1919–34.
J. D. Livingstone and J. W. Cahn:Acta Met., 1974, vol. 22, pp. 495–503.
R. T. Delves:Crystal Growth, B. R. Pamplin, ed., pp. 40–103, Pergamon Press, Oxford, 1975.
J. W. Cahn:Crystal Growth, H. S. Peiser, ed., pp. 681–90, Pergamon Press, Oxford, 1967.
L. R. Morris and W. C. Winegard:J. Cryst. Growth, 1967, vol. 1, pp. 245–46.
W. Oldfield:Solidification of Metals, p. 70, Iron and Steel Institute (Metals Society), London, 1968.
B. Cantor and A. Vogel:J. Cryst. Growth, 1977, vol. 41, pp. 109–23.
J. Szekely and N. J. Themilis:Rate Phenomena in Process Metallurgy, p. 18, John Wiley, 1971.
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Doherty, R.D., Cantor, B. & Fairs, S.J.M. Further analysis of dendritic growth data for succinonitrile. Metall Trans A 9, 621–624 (1978). https://doi.org/10.1007/BF02659918
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DOI: https://doi.org/10.1007/BF02659918