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Dendrite Tip-Shape Characteristics

Published online by Cambridge University Press:  21 February 2011

J.C. LaCombe ,
M.B. Koss ,
L.T. Bushnell ,
K.D. de Jager  and
M.E. Glicksman
J.C. LaCombe
Affiliation:
Rensselaer Polytechnic Institute, Materials Science and Engineering Department, Troy, NY
M.B. Koss
Affiliation:
Rensselaer Polytechnic Institute, Materials Science and Engineering Department, Troy, NY
L.T. Bushnell
Affiliation:
Rensselaer Polytechnic Institute, Materials Science and Engineering Department, Troy, NY
K.D. de Jager
Affiliation:
Rensselaer Polytechnic Institute, Materials Science and Engineering Department, Troy, NY
M.E. Glicksman
Affiliation:
Rensselaer Polytechnic Institute, Materials Science and Engineering Department, Troy, NY
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Abstract

The assumption that dendrite tips are parabolic bodies of revolution pervades many of the theories and experiments addressing dendritic growth. This assumption, while reasonable, is known to become less valid as regions of interest further from the tip of the dendrite are considered. Experimental measurements were made on pure succinonitrile dendrites at several super coolings. The equation that describes the dendrite tip profile is extended from a second order polynomial (paraboloidal) form to one that includes higher-order terms. The deviation of a dendrite tip from a parabolic body of revolution can be characterized by a parameter obtained from the coefficient of the fourth-order term describing the profile. This dimensionless parameter, Q, is found to be a function of the profile orientation only, independent of supercooling.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 398: Symposium C – Thermodynamics and Kinetics of Phase Transformations , 1995 , 133
Copyright
Copyright © Materials Research Society 1998

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References

REFERENCES

1 Ivantsov, G.P., Dokl. Akad. Nauk SSSR 58, 56 (1947)Google Scholar
2 Glicksman, M.E. and Marsh, S.P., in Handbook of Crystal Growth, edited by Hurle, D.J.T. (Elsevier Science Publishers, Amsterdam, 1993), Vol. 1, Pt. b, p. 1081.Google Scholar
3 Glicksman, M.E., Koss, M.B., Bushneil, L.T., LaCombe, J.C., and Winsa, E.A., Mat. Res. Soc. Symp. Proc, 367, 13 (1995)Google Scholar
4 Glicksman, M.E., Koss, M.B., Bushnell, L.T., LaCombe, J.C., and Winsa, E.A., ISIJ International, 35, 604 (1995).Google Scholar
5 LaCombe, J.C., Koss, M.B., Fradkov, V.E., and Glicksman, M.E., Phys. Rev. E, 52 2778 (1995)Google Scholar
6 Huang, S.C. and Glicksman, M.E., Acta Metall. 29, 701 (1981)Google Scholar
7 Maurer, J., Perrin, B., and Tabeling, P., Europhys. Lett. 14, 575 (1991)Google Scholar
8 Kessler, D. and Levine, H., Phys. Rev. A 36, 4123 (1987)Google Scholar
9 Kessler, D. and Levine, H., Acta Metall. 36, 2693 (1988)Google Scholar
10 Ben Amar, M. and Brener, E., Phys. Rev. Lett. 71, 589 (1993)Google Scholar
11 Brener, E., Phys. Rev. Lett. 71, 3653 (1993)Google Scholar