Geostrophic turbulence in CZ silicon crucible

Silicon

“…Instead, a combination of temperature-distribution measurement, observation of surface thermal patterns and numerical modeling is used to analyze the heat and mass transport within the crucible. Kishida and Okazawa [28] reported that above a Ta value of 10 11 , the baroclinic instability flow is converted into geostrophic turbulence flow. Numerical simulations are a powerful tool to overcome difficulties in the experimental approach for diagnostics of the heat-and mass-transfer processes in the melt.…”

Geostrophic turbulence in CZ silicon melt under CUSP magnetic field

“…The observation method employed for studying a melt surface temperature is the same as Tanaka's [3] and that in the author's previous study [2]. The melt surface images without a crystal are recorded by a CCD video camera, and each image of the video frames is converted into a temperature distribution.…”

“…Several experimental studies on actual CZ Si melts have revealed interesting features [2][3][4][5][6][7][8][9][10] regarding the Coriolis effect. According to these studies, a crucible melt will fall into several convection regimes, such as axi-symmetric convection, Küpper-Lortz instability, baroclinic wave, and geostrophic turbulence, under balance between the inertial force and Coriolis force.…”

“…Particularly, in the case of a conventional large crucible of a large diameter crystal of more than 8 in, the melt flow develops into a geostrophic turbulence that is considerably different from the convection form in a small crucible. The geostrophic turbulence is a type of two-dimensional turbulence, and then in this convection regime, the following effects of the Coriolis force are theoretically [1] expressed and clarified by experiments [2].…”

Effect of high frequency magnetic field on CZ silicon melt convection

“…On the melt growth technique, the quality of single crystal is strongly affected by the melt convection [1,2]. The melt convection structure is governed by the simultaneously acting forces [3][4][5][6][7][8][9][10][11], i.e., buoyancy force [12], surface tension [13][14][15][16][17][18], crystal/crucible rotation [19] and so on. Therefore, melt convection control technique should be developed to obtain the high quality crystal.…”