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Numerical Modeling of One-Dimensional Binary Solidification with a Mushy Layer Evolution

Published online by Cambridge University Press:  28 May 2015

Daniel Lee ,
Dmitri Alexandrov  and
H.-N. Huang
Daniel Lee*
Affiliation:
Department of Applied Mathematics, Tunghai University, Taichung, Taiwan 40704
Dmitri Alexandrov*
Affiliation:
Ural Federal University, Department of Mathematical Physics, Lenin ave. 51, Ekaterinburg 620083, Russian Federation
H.-N. Huang*
Affiliation:
Department of Applied Mathematics, Tunghai University, Taichung, Taiwan 40704
*
Corresponding author.Email address:danlee@thu.edu.tw
Corresponding author.Email address:Dmitri.Alexandrov@usu.ru
Corresponding author.Email address:nhuang@thu.edu.tw
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Abstract

The numerical modeling of a binary solidification with a mushy layer mechanism is considered in this manuscript. The nonlinear coupled system of equations describes the heat and mass diffusions of a one-dimensional spatial variable in the semi-infinite interval. Also formulated is a transformed system in a finite interval. We propose numerical methods for solving the nonlinear system using a threshold strategy based on fixed computation-domain approach. Our calculated results and those from the LeadEx field experiment are well-matched in their tendencies.

Keywords

35K0565-0565M06Direct numerical simulationHeat and mass transferMushy layerSolidificationStefan problem
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 5 , Issue 2 , May 2012 , pp. 157 - 185
Copyright
Copyright © Global Science Press Limited 2012

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