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Dendritic crystallization from the undercooled melts: effect of tiny amount of impurity

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Abstract

The kinetics of dendrite crystal growth in pure Ni and diluted Ni–B melts is analyzed. Using a model for anisotropic dendrites rapidly growing from undercooled melts, numerical solutions for dendrite tip velocity V and tip radius R are presented. The influence of boron content on tip velocity V and tip radius R of the dendrite growing in Ni-B alloys is shown in comparison with the growth kinetics of pure Ni–dendrites. Particularly, we show that there is a well-known regime of growth in which the impurity (boron) decreases the velocity of the alloying Ni–B–dendrite regarding the nickel dendrite velocity. In addition to this well-established regime, we also show quantitatively that there is a tiny amount of boron which enhances the dendrite velocity in comparison with the velocity of pure nickel dendrite. Explanations of this non-linearity are given using the results of calculations for dendrite tip radii and dendrite growth velocity for alloying Ni–B and pure Ni systems.

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Authors and Affiliations

  1. Ural Federal University, Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, 620000, Ekaterinburg, Russia

    O. V. Kazak, P. K. Galenko, D. V. Alexandrov & I. O. Starodumov

  2. Friedrich-Schiller-Universität-Jena, Faculty of Physics and Astronomy, Otto Schott Institute of Materials Research, 07743, Jena, Germany

    P. K. Galenko

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  1. O. V. Kazak
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  2. P. K. Galenko
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  3. D. V. Alexandrov
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  4. I. O. Starodumov
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Correspondence to O. V. Kazak.

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Kazak, O.V., Galenko, P.K., Alexandrov, D.V. et al. Dendritic crystallization from the undercooled melts: effect of tiny amount of impurity. Eur. Phys. J. Spec. Top. 229, 2885–2890 (2020). https://doi.org/10.1140/epjst/e2020-000105-x

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