3-D time-dependent numerical model of flow patterns within a large-scale Czochralski system

Simulation of the thermal fluctuation according to the melt height in a CZ growth system

“…sd) with melt height and distance. The degree of thermal fluctuation is increased as the observed position approaches the free surface [6,13]. And also we have confirmed that the standard deviations were increased as approaching the free surface of melt at all cases (not shown here).…”

“…Also we reported the thermal wave patterns and thermal fluctuations occurred when the crystal and crucible rotated at the same time in previous results [13]. Fig.…”

“…The experimental setup and grid generation with boundary condition was explained in previous paper [13], so only major features are described in this paper. The diameter of crystal and crucible are 0.3 and 0.8 m, respectively.…”

“…Zhong Zeng et al [10] suggested that no surface wave structure is observed in CZIM (CZ model including Marangoni) model, however, surface wave structure appears in CZEM (CZ model excluding Marangoni convection) model for crystal rotation o s 4 32 rpm. Son and coauthors [11,12] and Nam et al [13] used Wood's metal (Pr =0.019) and numerical simulation. Son and coauthors [11,12] reported that thermal fluctuation is generated by the effect of crystal and crucible rotation.…”

“…Son and coauthors [11,12] reported that thermal fluctuation is generated by the effect of crystal and crucible rotation. Nam et al [13] suggested the wave pattern is observed when both the crystal and crucible are rotated. Also, Kishida and Okazawa [14], kakimoto et al [15,16], Seidl et al [17], Basu et al [18] and Yi et al [19] have reported formation of instabilities and wave pattern within the melt using the numerical simulations.…”