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Dendritic Growth Dynamics: Steady And Oscillatory States

Published online by Cambridge University Press:  21 March 2011

J.E. Frei
Affiliation:
Materials Science and Engineering Department Rensselaer Polytechnic Institute Troy, NY 12180, USA
M.E. Glicksman
Affiliation:
Materials Science and Engineering Department Rensselaer Polytechnic Institute Troy, NY 12180, USA
J.C. LaCombe
Affiliation:
Metallurgical and Materials Engineering DepartmentUniversity of Nevada, Reno 89557, USA
M.B. Koss
Affiliation:
Metallurgical and Materials Engineering DepartmentUniversity of Nevada, Reno 89557, USA
C. Giummarra
Affiliation:
Materials Science and Engineering Department Rensselaer Polytechnic Institute Troy, NY 12180, USA
A.O. Lupulescu
Affiliation:
Materials Science and Engineering Department Rensselaer Polytechnic Institute Troy, NY 12180, USA
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Abstract

Microgravity dendritic growth experiments, conducted aboard the space shuttle Columbia (STS-87) in November/December 1997, are analyzed and discussed. In-situ video images now reveal that pivalic acid (PVA) dendrites growing in the diffusion-controlled environment of low-earth orbit exhibit a range of growth behaviors, including steady, transient, and oscillatory states. The observed transient features of the growth process are being studied with the objective of understanding their physical mechanisms. Some transients in the observed growth speed are thought to arise as an intrinsic aspect of the evolving dendritic pattern. Variability in the growth speed observed from a sequence of identical runs at equal supercooling suggests that self-interactions of the dendrite remain important throughout the development of the dendritic pattern. A Greens function analysis of the near-tip diffusion sources contributing to the local field at the tip suggests that strong non-local interactions exist well into the time-dependent side-branch region of real dendrites. Video data obtained at 30 fps allow the first application of discrete Fourier transform methods (Lomb periodograms) to the digitized images of dendritic growths under quiescent microgravity conditions. These observations provide evidence for the appearance of characteristic frequencies in the tip shape and its dynamical behavior. Some of the frequency bands observed coincide closely with the ratio of the dendritic tip growth speed divided by the side branch spacing. Other observed lower frequencies remain as yet unexplained. These data, and their interpretations, are discussed in this paper.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

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References

REFERENCES

1. Glicksman, M.E. and Marsh, S.P., in Handbook of Crystal Growth, Edited by Hurle, D.T.J. (Elsevier Science Publishers, Amsterdam), pp.10771122, 1993.Google Scholar
2. Bisang, U. and Bilgram, J.H., Phys. Rev. E 54, pp.53095326 (1996).Google Scholar
3. Ivantsov, G.P., Dokl. Akad. Nauk USSR 58, pp.567569 (1947).Google Scholar
4. Huang, S.C. and Glicksman, M.E., Acta Metall. 29, pp.701715 (1981).Google Scholar
5. Pines, V., Chait, A., and Zlatkowski, M., J. Cryst. Growth 167, pp.383386 (1996).Google Scholar
6. Pines, V., Chait, A., and Zlatkowski, M., J. Cryst. Growth 182, pp.219226 (1997).Google Scholar
7. LaCombe, J.C., Koss, M.B., Corrigan, D.C., Lupulescu, A.O., Tennenhouse, L.A., and Glicksman, M.E., J. Cryst. Growth, Vol. 206, No.4, pp.225352, (1999).Google Scholar
8. LaCombe, J.C., Koss, M.B., Corrigan, D.C., Lupulescu, A.O., Frei, J.E., and Glicksman, M.E., Solidification 1999, edited by Hofmeiseter, W.H. et al. (TMS, Warrendale, PA), pp.121130, 1999.Google Scholar
9. LaCombe, J.C., Koss, M.B., Glicksman, M.E., Phys. Rev. Lett. 83, pp.29973000, (1999).Google Scholar
10. Koss, M.B. et al. , AIAA Report No. AIAA-98-0809, (1998).Google Scholar
11. LaCombe, J.C., Koss, M.B., Fradkov, V.E., and Glicksman, M.E., Phys. Rev E. 52, pp.27782786 (1995).Google Scholar
12. Press, W.H., Teukolsky, S.A., Vellerling, W.T., and Flannery, B.P., Numerical Recipes in Fortran, 2nd edn. Cambridge University Press, New Delhi, pp.422497, 1994 Google Scholar
13. Xu, J.J., Interfacial Wave Theory of Pattern Formation, Springer Verlag, Berlin Heidelberg, 1998.Google Scholar
14. Dougherty, A., Kaplan, P.D., and Gollub, J.P.: Physical Review Letters, 58, pp.16521655, (1987).Google Scholar