3D analysis of crystal/melt interface shape and Marangoni flow instability in solidifying liquid bridges

M. Lappa, R. Savino

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

Solidification of Gallium (Pr=0.02) in liquid bridges in zero gravity conditions is investigated by numerical solutions of the three-dimensional and time-dependent flow-field equations. A single region (continuum) formulation based on the enthalpy method is adopted to model the phase change problem. The paper analyzes the influence of the azimuthally asymmetric and steady first bifurcation of the Marangoni flow on the shape of the solid/melt interface during the crystal growth process. The numerical results show that this interface is distorted in the azimuthal direction. The distortion is related to the sinusoidal three-dimensional temperature disturbances due to the instability of the Marangoni flow. The three-dimensional flow field organization, related to the wave number, changes during the solidification process; this behaviour is explained according to the variation of the aspect ratio of the solidifying liquid bridge. A correlation law is found for the azimuthal wave number of the instability as function of the melt zone aspect ratio.
LanguageEnglish
Pages751-774
Number of pages24
JournalJournal of Computational Physics
Volume180
Issue number2
DOIs
Publication statusPublished - 10 Aug 2002

Fingerprint

liquid bridges
solidification
Solidification
aspect ratio
Aspect ratio
Flow fields
flow distribution
weightlessness
Crystals
Gallium
three dimensional flow
Liquids
Crystallization
Crystal growth
crystals
gallium
crystal growth
Enthalpy
Gravitation
disturbances

Keywords

  • liquid bridge
  • flow instability
  • zero gravity
  • crystal growth

Cite this

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title = "3D analysis of crystal/melt interface shape and Marangoni flow instability in solidifying liquid bridges",
abstract = "Solidification of Gallium (Pr=0.02) in liquid bridges in zero gravity conditions is investigated by numerical solutions of the three-dimensional and time-dependent flow-field equations. A single region (continuum) formulation based on the enthalpy method is adopted to model the phase change problem. The paper analyzes the influence of the azimuthally asymmetric and steady first bifurcation of the Marangoni flow on the shape of the solid/melt interface during the crystal growth process. The numerical results show that this interface is distorted in the azimuthal direction. The distortion is related to the sinusoidal three-dimensional temperature disturbances due to the instability of the Marangoni flow. The three-dimensional flow field organization, related to the wave number, changes during the solidification process; this behaviour is explained according to the variation of the aspect ratio of the solidifying liquid bridge. A correlation law is found for the azimuthal wave number of the instability as function of the melt zone aspect ratio.",
keywords = "liquid bridge, flow instability, zero gravity, crystal growth",
author = "M. Lappa and R. Savino",
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3D analysis of crystal/melt interface shape and Marangoni flow instability in solidifying liquid bridges. / Lappa, M.; Savino, R.

In: Journal of Computational Physics, Vol. 180, No. 2, 10.08.2002, p. 751-774.

Research output: Contribution to journalArticle

TY - JOUR

T1 - 3D analysis of crystal/melt interface shape and Marangoni flow instability in solidifying liquid bridges

AU - Lappa, M.

AU - Savino, R.

PY - 2002/8/10

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AB - Solidification of Gallium (Pr=0.02) in liquid bridges in zero gravity conditions is investigated by numerical solutions of the three-dimensional and time-dependent flow-field equations. A single region (continuum) formulation based on the enthalpy method is adopted to model the phase change problem. The paper analyzes the influence of the azimuthally asymmetric and steady first bifurcation of the Marangoni flow on the shape of the solid/melt interface during the crystal growth process. The numerical results show that this interface is distorted in the azimuthal direction. The distortion is related to the sinusoidal three-dimensional temperature disturbances due to the instability of the Marangoni flow. The three-dimensional flow field organization, related to the wave number, changes during the solidification process; this behaviour is explained according to the variation of the aspect ratio of the solidifying liquid bridge. A correlation law is found for the azimuthal wave number of the instability as function of the melt zone aspect ratio.

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