Mathematical Model of Unidirectional Solidification with Mushy Layer

Xiang Ming Li; Zi Dong Wang

doi:10.4028/www.scientific.net/AMM.278-280.456

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 278-280Mathematical Model of Unidirectional...

Mathematical Model of Unidirectional Solidification with Mushy Layer

Abstract:

The general mathematical formulation under unidirectional solidification with mushy layer is developed. For the steady state of solidification, concentration and temperature fields in the mushy region are given as functions of a solid volume fraction. The nonlinear model of solidification in mushy zone is changed into system of the second order ordinary differential equation with free boundary conditions, which is solved using numerical calculating method. Solid volume fraction at the solid-mush interface is also obtained. For fixed control conditions, mushy layer width of Fe-Ni alloy in unidirectional solidification is predicted.

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Periodical:

Applied Mechanics and Materials (Volumes 278-280)

Pages:

456-459

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.278-280.456

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Online since:

January 2013

Authors:

Xiang Ming Li, Zi Dong Wang

Keywords:

Mushy Layer, Numerical Solution, Solid Volume Fraction, Unidirectional Solidification

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