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Investigation of the Convection Effect on the Inclusion Motion in Thermally Stressed Crystals

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Research and Education: Traditions and Innovations (INTER-ACADEMIA 2021)

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Abstract

The conditions for occurrence of convective mass transfer in a liquid inclusion located in a thermally stressed crystal have been investigated. An estimated calculation of the Rayleigh number for a convective cell with solid boundaries has been performed. It is shown that the calculated value of the Rayleigh number can exceed the critical value. For such conditions, we have obtained analytical expressions for the perturbed velocity and temperature of a cylindrical convective cell with solid boundaries that exist in the inclusion. The theoretical model of induced transitions of atoms of the crystal matrix into solution and back is proposed, taking into account convective mass transfer. Based on the proposed model, the analytical expressions for the dependence of the inclusions velocity on their size at low and high temperature gradients have been obtained. A good quantitative correspondence between the theoretical model and the experimental data is shown in both cases.

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Acknowledgements

This research was partly supported by the 2021 Cooperative Research Projects (grants 2073 and 2074) at the Research Center of Biomedical Engineering (RCBE) adopted as the 2021 Cooperative Research at Research Institute of Electronics, Shizuoka University, Japan.

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Authors and Affiliations

  1. School of Physics and Energy, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61022, Ukraine

    Oleksandr P. Kulyk, Victor I. Tkachenko & Oksana L. Andrieieva

  2. National Science Center “Kharkiv Institute of Physics and Technology” of the National Academy of Sciences of Ukraine, 1 Akademichna St., Kharkiv, 61108, Ukraine

    Victor I. Tkachenko & Oksana L. Andrieieva

  3. National Aerospace University “Kharkiv Aviation Institute”, 17 Chkalov St., Kharkiv, 61070, Ukraine

    Oksana V. Podshyvalova

  4. V.E. Lashkaryov Institute of Semiconductor Physics of the National Academy of Sciences of Ukraine, 41 Prospekt Nauky, Kyiv, 03028, Ukraine

    Volodymyr A. Gnatyuk

  5. Research Institute of Electronics, Shizuoka University, 3-5-1 Johoku, Naka-ku, Hamamatsu, 432-8011, Japan

    Toru Aoki

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  1. Oleksandr P. Kulyk
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Editors and Affiliations

  1. Francisk Skorina Gomel State University, Gomel, Belarus

    Sergei Khakhomov

  2. Francisk Skorina Gomel State University, Gomel, Belarus

    Igor Semchenko

  3. Francisk Skorina Gomel State University, Gomel, Belarus

    Oleg Demidenko

  4. Dean of the Faculty of Physics and Information Technologies, Francisk Skorina Gomel State University, Gomel, Belarus

    Dmitry Kovalenko

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Kulyk, O.P., Tkachenko, V.I., Andrieieva, O.L., Podshyvalova, O.V., Gnatyuk, V.A., Aoki, T. (2022). Investigation of the Convection Effect on the Inclusion Motion in Thermally Stressed Crystals. In: Khakhomov, S., Semchenko, I., Demidenko, O., Kovalenko, D. (eds) Research and Education: Traditions and Innovations. INTER-ACADEMIA 2021. Lecture Notes in Networks and Systems, vol 422. Springer, Singapore. https://doi.org/10.1007/978-981-19-0379-3_14

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