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Surface Energy Influence on Supercooled Water Crystallization: A Computational Study
Technical Paper
2015-01-2115
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
Numerical experiments have been presently conducted aiming at studying the influence of the surface energy on the crystallization process of supercooled water in terms of the supercooling degrees. The mathematical model consists primarily of the equation governing the thermal energy field solved independently in both phases in accordance with the two-scalar approach by utilizing the Stefan condition at the interface to couple both temperature fields. The computational algorithm relying on the level-set method for solid-liquid interface capturing has been appropriately upgraded aiming at accuracy level increase with respect to the discretization of the thermal energy equation and the normal-to-interface derivative of the temperature field. The model describes the freezing mechanism under supercooled conditions, relying on the physical and mathematical description of the two-phase moving-boundary approach. The relevant numerical algorithm is implemented into the open source software OpenFOAM®. The results obtained illustrate the stabilizing effect of the surface energy compared to the level of supercooling. The effect of the anisotropy of the interfacial energy on the ice nucleus growth, resulting in a six-fold crystal shape, is also illustrated.
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Citation
Criscione, A., Jakirlic, S., Tukovic, Z., Roisman, I. et al., "Surface Energy Influence on Supercooled Water Crystallization: A Computational Study," SAE Technical Paper 2015-01-2115, 2015, https://doi.org/10.4271/2015-01-2115.Also In
References
- Alexiades , V. and Solomon , A. Mathematical modeling of melting and freezing processes Hemisphere Publishing Corporation 1993
- Almgren , R. Variational algorithms and pattern formation in dendritic solidification J. Comput. Phys. 102 337 354 1993
- Baehr , H.D. and Stephan , K. Heat and mass transfer 2nd Springer-Verlag 2006
- Criscione , A. , Kintea , D. , Tukovic , Z. , Jakirlic , S. , Roisman , I.V. and Tropea , C. Crystallization of supercooled water: a level-set-based modeling of the dendrite tip velocity Int. Journal of Heat and Mass Transfer 66 830 837 2013
- Criscione , A. , Roisman , I.V. , Jakirlic , S. and Tropea , C. Towards modeling of initial and final stages of supercooled water freezing Int. Journal of Thermal Sciences 92 150 161 2015
- Langer , J.S. and Müller-Krumbhaar , R.F. Theory of dendritic growth-I. Elements of a stability analysis Acta Metall. 26 1681 1687 1978
- Langer , J.S. and Müller-Krumbhaar , R.F. Theory of dendritic growth-II. Instabilities in the limit of vanishing surface tension Acta Metall. 26 1689 1695 1978
- Langer , J.S. and Müller-Krumbhaar , R.F. Theory of dendritic growth-I. Elements of a stability analysis Acta Metall. 26 1681 1687 1978 Langer , J.S. and Müller-Krumbhaar , R.F. Theory of dendritic growth-III. Effects of surface tension Acta Metall. 26 1697 1708 1978
- Osher , S. and Sethian , J.A. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations J. Comput. Physics 79 1 12 49 1988
- Osher , S. and Fedkiw , R. Level set methods and dynamic implicit surfaces Springer Verlag 2003
- Sethian , J.A. Level set methods: evolving interfaces in geometry, fluid mechanics, computer vision and materials sciences 1st Cambridge University Press 1996
- Shibkov , A.A. , Zheltov , M.A. , Korolev , A.A. , Kazakov , A.A. and Leonov , A.A. Crossover from diffusion-limited to kinetics-limited growth of ice crystals J. Cryst. Growth 285 215 227 2005