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A new approach for water crystallization in the kinetics-limited growth region

Criscione, Antonio ; Kintea, Daniel ; Roisman, Ilia ; Jakirlic, Suad ; Tropea, Cameron
Criscione, Antonio (ed.) Criscione Antonio (Corporate Creator) (2013):
A new approach for water crystallization in the kinetics-limited growth region.
ICMF 2013, 8th International Conference on Multiphase Flow , [Conference or Workshop Item]

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Item Type: Conference or Workshop Item
Title: A new approach for water crystallization in the kinetics-limited growth region
Language: English

The crystallization mechanism of pure water in a supercooled state is not well understood so far. There are many open-ended questions about the basic physics of crystallization. A new computational model using an appropriate level set formulation for the numerical capturing of the interface between the supercooled and the solidified liquid is applied. Mathematically, the phenomenon of solidification is modeled by utilizing a moving boundary problem. Recent numerical results of dendritic growth (Criscione et al. 2012) exhibit excellent qualitative and quantitative agreement with the Marginal Stability Theory (Langer & Müller Krumbhaar 1978a, 1978b, 1978c) as well as with the available experiments (Furukawa & Shimada 1993, Ohsaka & Trinh 1998, Shibkov et al. 2001, 2003, 2005) in the heat-diffusion-dominated region. At higher supercoolings (in the so-called kinetics-limited region), an explicit deviation from experiments is observed. In the published literature the kinetic effects are indicated as a possible reason for this deviation, approximating the kinetic undercooling as a linear function of the interface velocity. Based on this assumption, a new approach for the calculation of the kinetic undercooling term is derived. This model results in an approximation for the kinetic coefficient which establishes a non-linear dependency between the kinetic undercooling and the velocity of the solid-liquid interface. Furthermore, investigations concerning the growth of needles in an array indicate that surrounding needle-like dendrites influence considerably the steady-state tip velocity of an isolated needle. This phenomenon depends directly on the spacing between the needles. In the present work an attempt is undertaken to explain a new approach for the physical description of the crystallization mechanism at higher supercooling.

Classification DDC: 500 Naturwissenschaften und Mathematik > 500 Naturwissenschaften
500 Naturwissenschaften und Mathematik > 510 Mathematik
500 Naturwissenschaften und Mathematik > 530 Physik
500 Naturwissenschaften und Mathematik > 550 Geowissenschaften
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Mechanics and Aerodynamics (SLA)
Event Title: ICMF 2013, 8th International Conference on Multiphase Flow
Date Deposited: 06 Jun 2013 11:29
Last Modified: 09 Jul 2020 00:28
URN: urn:nbn:de:tuda-tuprints-34592
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/3459
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