SCALING LAW FOR CBr4-C2Cl6 LAMELLAR EUTECTIC IN DIRECTIONAL SOLIDIFICATION |
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Institution: | State Key Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210008, China |
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Abstract: | A coupling equation of directional solidification of CBr4($\alpha$)-C2Cl6($\beta$) eutectic is solved numerically. Profiles and profile bifurcation of the solidifying interface as functions of the interlamellar spacing are studied in detail. It is believed that the critical bifurcating point of the solidifying interface of each lamella coincides with its marginally stable position and hence, a new scaling law is derived. Existence of the band of spacing selection is also studied. For a given solidifying rate, the critical bifurcating point of $\beta$/liquid interface is the upper limit of this band, and its lower limit corresponds to the critical bifurcating point of $\alpha$/liquid interface. Our analyses interpret the latest relevant experimental data reasonably. |
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