NON-EQUILIBRIUM MODEL FOR THE CALCULATION OF THE TWO-COMPONENT LIQUID CRYSTALLIZATION
V. P. Ginkin, S. M. Ganina, K. G. Chernov
VANT. Ser.: Mat. Mod. Fiz. Proc 2011. Вып.4. С. 58-65.
A non-equilibrium model of the two-component liquid crystallization is proposed; here the Stefan problem with two boundaries is solved: solid phase - a two-phase transition zone and two-phase zone - liquid phase. The two-phase zone is represented by a porous environment with varying porosity. Additional force of resistance to the liquid flow in porous environment is taken into account similarly to the Darsy law. The solutions with linear and quadratic dependences of the inclusion volume fraction on temperature are compared with each other. The calculation results are presented for the crystallization experiment with Sn with 20% of Pb using the method of oriented vertical crystallization, performed from top to bottom towards the gravitation vector.Keywords: two-component liquids, crystallization, mathematical model, flow in porous environments, Stefan problem, numerical calculation method, experiment calculation.
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