Analytical Solution of Mushy Zone under Directional Solidification

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Abstract:

Based on the general mathematical formulation under unidirectional solidification with mushy layer developed in Ref.[13], leading approximation of solution in mushy layer is obtained for the case that the inverse Lewis number is small parameter. For the steady state of solidification, concentration field in the mushy region is given as function of a solid volume fraction. Mushy layer width and solid volume fraction at the solid-mush interface are obtained. Effects of temperature gradient on mushy layer width and solid volume fraction at solid-mush interface are presented.

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262-265

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February 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] S. S. L. Peppin, H. E. Huppert, and M. G. Worster: J. Fluid Mech. Vol 599 (2008), p.465.

Google Scholar

[2] H. Yoshioka, Y. Tada, and Y. Hayashi: Acta Mater. Vol 52 (2004), p.1515.

Google Scholar

[3] W. W. Mullins and R. F. Sekerka: J. Appl. Phys. Vol 35 (1964), p.444.

Google Scholar

[4] D. V. Alexandrov and A. P. Malygin: Int. J. Heat Mass Trans. Vol 49 (2006), p.763.

Google Scholar

[5] D. V. Alexandrov: J. Cryst. Growth Vol 222 (2001), p.816.

Google Scholar

[6] D. V. Alexandrov and A. O. Ivanov: J. Cryst. Growth Vol 210 (2000), p.797.

Google Scholar

[7] M. C. Flemings and G. E. Nereo: Macrosegregation (Trans. Met. Soc. AIME, 1967).

Google Scholar

[8] H. E. Huppert and M. G. Worster: Nature Vol 314 (1985), p.703.

Google Scholar

[9] M. G. Worster: J. Fluid Mech. Vol 167(1986), p.481.

Google Scholar

[10] X. M. Li, Z. D. Wang and Q. Y. Wang: J. App. Phys. Vol 106 (2009), 053511.

Google Scholar

[11] X. M. Li and Z. D. Wang: Chin. Phys. B Vol 19 (2010), 126401.

Google Scholar

[12] X. M. Li and Z. D. Wang: J. Cryst. Growth Vol 318 (2010), p.55.

Google Scholar

[13] X. M. Li and Z. D. Wang: submitted to Appl. Mech. Mater. (2012).

Google Scholar