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

  • Authors:
  • M. Lappa;R. Savino

  • Affiliations:
  • Dipartimento di Scienza e Ingegneria dello Spazio "Luigi G. Napolitano," Università degli Studi di Napoli "Federico II," P.le V.Tecchio 80, 80125 Napoli, Italy;Dipartimento di Scienza e Ingegneria dello Spazio "Luigi G. Napolitano," Università degli Studi di Napoli "Federico II," P..le V.Tecchio 80, 80125 Napoli, Italy

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2002

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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. This 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 behavior 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.