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Morphology diagram of nonequilibrium patterns of ice crystals growing in supercooled water

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  • Shibkov, A.A.
  • Golovin, Yu.I.
  • Zheltov, M.A.
  • Korolev, A.A.
  • Leonov, A.A.

Abstract

The morphology diagram of ice crystal patterns, which grow freely in a supercooled water is obtained experimentally in a “supercooling-tip velocity” phase space. This diagram classifies eight nonequilibrium macroscopic structures growing in the supercooling temperature region of heterogeneous nucleation of ice in pure water at atmospheric pressure. We found different kinds of morphology transitions between structures such as the first order, continuous, and the fork-like bifurcation transitions. It was shown that the nonequilibrium patterns exhibit various growing behaviours such as tip-splitting, tip-oscillating, and tip-stable modes. Supercoolings as large as 30°C can be achieved allowing ready access to both the diffusive and kinetic growth regimes. We found the supercooling ranges that correspond to kinetic regime of solidification in which under controlled conditions, for a given supercooling levels both fractal and nonfractal nonequilibrium growth patterns are reproducibly observed. The possible reasons for the competition between fractal and nonfractal structures growing in highly supercooled water are discussed.

Suggested Citation

  • Shibkov, A.A. & Golovin, Yu.I. & Zheltov, M.A. & Korolev, A.A. & Leonov, A.A., 2003. "Morphology diagram of nonequilibrium patterns of ice crystals growing in supercooled water," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 65-79.
    • Handle: RePEc:eee:phsmap:v:319:y:2003:i:c:p:65-79
    DOI: 10.1016/S0378-4371(02)01517-0
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    References listed on IDEAS

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    1. Brener, E. & Müller-Krumbhaar, H. & Temkin, D. & Abel, T., 1998. "Morphology diagram of possible structures in diffusional growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 73-81.
    2. C. Lobban & J. L. Finney & W. F. Kuhs, 1998. "The structure of a new phase of ice," Nature, Nature, vol. 391(6664), pages 268-270, January.
    3. Sakaguchi, Hidetsugu & Ohtaki, Masako, 1999. "A coupled map lattice model for dendritic patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(3), pages 300-313.
    4. Müller-Krumbhaar, H. & Zimmer, M. & Ihle, T. & Saito, Y., 1996. "Morphology and selection processes in diffusion-controlled growth patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 322-337.
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    Cited by:

    1. Akhtar, Saad & Xu, Minghan & Mohit, Mohammaderfan & Sasmito, Agus P., 2023. "A comprehensive review of modeling water solidification for droplet freezing applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 188(C).
    2. Jaafar, Mohamad Ali & Rousse, Daniel R. & Gibout, Stéphane & Bédécarrats, Jean-Pierre, 2017. "A review of dendritic growth during solidification: Mathematical modeling and numerical simulations," Renewable and Sustainable Energy Reviews, Elsevier, vol. 74(C), pages 1064-1079.

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