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Numerical Simulation of Multicomponent Alloy Solidification

Journal of Mechanics Engineering and Automation 2014年第10期4卷 828-837页

作者： Vladimir Pavlovich Ginkin svetlana mikhailovna ganina Andrey Valentinovich Kartavykh MA TEK (Mathematical Ecology) Ltd. Obninsk 249033 Russia Department of Mathematics and Software Institute for Physics and Power Engineering Obninsk 249033 Russia Department of Physical Chemistry National University of Science and Technology "MISIS" Moscow 119049 Russia Department of Functional and Constructional Nanomaterials Technological Institute for Superhard and Novel Carbon MaterialsMoscow 142190 Russia

A non-equilibrium model of multicomponent melt solidification has been developed in which a Stefan problem with two boundaries is solved numerically, the boundaries being between the solid phase and the two-phase transition zone and between the two-phase transition zone and the liquid phase. The two-phase zone is represented as a porous medium with variable porosity. The additional force resisting the melt flow due to porosity and introduced by analogy with Darcy＇s law is taken into account. Computer simulation has been performed of the experiment on Sn-20 wt.%Pb binary alloy solidification by the method of downward-directed crystallization along the gravity vector. The paper shows the results of a quasi two-dimensional benchmark experiment on horizontal （i.e., at the right angle to the gravity vector） directional solidification of a binary Sn-3 wt.%Pb alloy. The calculations were done using two crystallization models： the equilibrium model and the non-equilibrium one. It is shown that the non-equilibrium model gives a better description of the thermal field evolution and solute distribution caused by natural convection.

关键词： Solidification binary alloy mushy zone macrosegregation convection heat-mass transfer modelling comparison withexperimental results.

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