Effect of thermo-solutal Marangoni convection on the azimuthal wave number in a liquid bridge

• Published in: Journal of crystal growth 2017-06, Vol.468, p.502-505
• Main Authors: Minakuchi, H., Okano, Y., Dost, S.
• Format: Article
• Language: English
• Subjects: A1. Computer simulation; A1. Half-zone; A2. Floating zone technique; A2. Marangoni convection; Aspect ratio; Computer simulation; Convection; Freeware; Gravitation; Liquid bridges; Marangoni convection; Mathematical models; Melting; Numerical analysis; Physical properties; Prandtl number; Propagation; Schmidt number; Silicon; Studies; Three dimensional models; Wavelengths; Weightlessness
• ISSN: 0022-0248; 1873-5002
• DOI: 10.1016/j.jcrysgro.2016.09.028

A numerical simulation study was carried out to investigate the effect of thermo-solutal Marangoni convection on the flow patterns and the azimuthal wave number (m) in a liquid bridge under zero-gravity. The liquid bridge in the model represents a three dimensional half-zone configuration of the Floating Zone (FZ) growth system. Three dimensional field equations of the liquid zone, i.e. continuity, momentum, energy, and diffusion equations, were solved by the PISO algorithm. The physical properties of the silicon-germanium melt were used (Pr=6.37×10−3 and Sc=14.0, where Pr and Sc stand for the Prandtl number and the Schmidt number). The aspect ratio Asp was set to 0.5 (Asp= L/a, where L and a stand for the length of free surface and the radius of liquid bridge). Computations were performed using the open source software OpenFOAM. The numerical simulation results show that the co-existence of thermal and solutal Marangoni convections significantly affects the azimuthal wave number m in the liquid bridge. •The azimuthal wave number m depends on the thermal Marangoni number MaT.•The m increases almost only with the increase of the MaT.•These results indicate the possibility of controlling the m by controlling the Ma.