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Ice-Water Phase Transition on a Substrate

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Abstract

In this paper, we construct and study a model of phase transition in a system of two phases (liquid and ice) and three media, namely, water, a piece of ice, and a nonmelting solid substrate. Namely, the melting-crystallization process is considered in the problem of water flow along a small ice irregularity (such as a frozen drop) on a flat substrate for large Reynolds numbers. The results of numerical simulation are presented.

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Funding

The work was supported by the Russian Science Foundation under grant No. 22-21-00186, https://rscf.ru/project/22-21-00186/

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Authors and Affiliations

  1. National Research University Higher School of Economics, Moscow, Russia

    V. G. Danilov & R. K. Gaydukov

Authors
  1. V. G. Danilov
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  2. R. K. Gaydukov
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Correspondence to V. G. Danilov.

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Danilov, V.G., Gaydukov, R.K. Ice-Water Phase Transition on a Substrate. Russ. J. Math. Phys. 30, 165–175 (2023). https://doi.org/10.1134/S1061920823020036

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  • DOI: https://doi.org/10.1134/S1061920823020036

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