Self-Similar Solidification of Binary Alloys

• Authors: D. Alexandrov , A. Ivanov , A. Malygin
• Languages of publication: EN

Abstracts

EN

The self-similar crystallization process of a binary mixture from a cooled boundary is studied on the basis of two models with a planar front and mushy layer. Approximate analytical solutions of the process describing the solidification with a mushy layer are found. The theory under consideration is in good agreement with experiments carried out by Huppert and Worster for ice growing from aqueous salt solutions.

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: 795-799

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

author

A. Malygin

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

References

• 1. R.N. Hills, D.E. Loper, P.H. Roberts, Quantum J. Appl. Math. 36, 505 (1983)
• 2. H.E. Huppert, M.G. Worster, Nature 314, 703 (1985)
• 3. M.G. Worster, J. Fluid Mech. 167, 481 (1986)
• 4. D.V. Alexandrov, A.P. Malygin, I.V. Alexandrova, Ann. Glaciol. 44, 118 (2006)
• 5. D.V. Alexandrov, I.G. Nizovtseva, Dokl. Earth Sci. 419, 359 (2008)
• 6. D.V. Alexandrov, I.G. Nizovtseva, A.P. Malygin, H.-N. Huang, D. Lee, J. Phys., Condens. Matter 20, 114105 (2008)
• 7. D.V. Alexandrov, D.L. Aseev, I.G. Nizovtseva, H.-N. Huang, D. Lee, Int. J. Heat Mass Transfer 50, 3616 (2007)

Identifiers

DOI

10.12693/APhysPolA.115.795