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2009 | 115 | 4 | 786-790
Article title

Analytical Solution for a Problem of Directional Solidification in a Ternary System

Content
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Languages of publication
EN
Abstracts
EN
This paper is devoted to new analytic results relating to the nonstationary dynamics of directional solidification of ternary solutions with two moving layers of the phase transition lying between solid and liquid phases. Explicit analytical solutions of the problem under consideration are constructed on the basis of laboratory experiments carried out by Aitta, Huppert and Worster.
Keywords
EN
Publisher

Year
Volume
115
Issue
4
Pages
786-790
Physical description
Dates
published
2009-04
Contributors
author
  • Department of Mathematical Physics, Urals State University, Ekaterinburg 620083, Russian Federation
author
  • Department of Mathematical Physics, Urals State University, Ekaterinburg 620083, Russian Federation
References
  • 1. Yu.A. Buyevich, D.V. Alexandrov, V.V. Mansurov, Macrokinetics of Crystallization, Begell House, New York 2001
  • 2. R.N. Hills, D.E. Loper, P.H. Roberts, Quantum J. Appl. Math. 36, 505 (1983)
  • 3. D.V. Alexandrov, I.G. Nizovtseva, Dokl. Earth Sci. 419, 359 (2008)
  • 4. D.L. Aseev, D.V. Alexandrov, Acta Mater. 54, 2401 (2006)
  • 5. P.K. Galenko, O. Fanke, J. Wang, D.M. Herlach, Mater. Sci. Eng. A 375-377, 488 (2004)
  • 6. D.V. Alexandrov, A.P. Malygin, I.V. Alexandrova, Ann. Glaciol. 44, 118 (2006)
  • 7. I. Steinbach, F. Pezzolla, B. Nestler, M. Seeß elberg, R. Prieler, G.J. Schmitz, J.L.L. Rezende, Physica D 94, 135 (1996)
  • 8. J. Eiken, B. Böttger, I. Steinbach, Phys. Rev. E 73, 06122 (2006)
  • 9. A. Aitta, H.E. Huppert, M.G. Worster, J. Fluid Mech. 432, 201 (2001)
  • 10. D.M. Anderson, J. Fluid Mech. 483, 165 (2003)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv115n407kz
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