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

• Authors: D. Alexandrov , A. Ivanov
• 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

44.05.+e; 81.30.Fb

Discipline

• 81.30.Fb: Solidification
• 44.05.+e: Analytical and numerical techniques

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 4
• Pages: 786-790

Dates

published

2009-04

Contributors

author

D. Alexandrov

• Department of Mathematical Physics, Urals State University, Ekaterinburg 620083, Russian Federation

author

A. Ivanov

• 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)

Identifiers

DOI

10.12693/APhysPolA.115.786