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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
eds.: Criscione, Antonio ; Criscione Antonio (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, Primary publication

Copyright Information: CC BY-NC-ND 2.5 Generic - Creative Commons, Attribution, NonCommercial, NoDerivs .

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Item Type: Conference or Workshop Item
Type of entry: Primary publication
Title: A new approach for water crystallization in the kinetics-limited growth region
Language: English
Date: May 2013
Event Title: ICMF 2013, 8th International Conference on Multiphase Flow

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.

URN: urn:nbn:de:tuda-tuprints-34592
Classification DDC: 500 Science and mathematics > 500 Science
500 Science and mathematics > 510 Mathematics
500 Science and mathematics > 530 Physics
500 Science and mathematics > 550 Earth sciences and geology
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Mechanics and Aerodynamics (SLA)
Date Deposited: 06 Jun 2013 11:29
Last Modified: 09 Jul 2020 00:28
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/3459
PPN: 386809909
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