Three-dimensional thermocapillary-buoyancy flow in a shallow molten silicon pool with Cz configuration

Coupled heat transfer and fluid dynamics modeling of high-temperature SiC solution growth

“…The size of the TaylorProudman cell (originally the size of the crucible) is consequently reduced below the crystal. This agrees perfectly with the detailed studies on the Marangoni effect, reported in the literature [31][32][33]. This cell has the same diameter as the seed holder.…”

Numerical Simulation of Thermocapillary Convection in a Shallow Rectangular Cavity Under the Action of Combining Horizontal Temperature Gradient with Vertical Heat Flux

“…For the deep liquid layer, stationary longitudinal rolls are the critical model (Mercier and Normand 1996;Peng et al 2007). These results have been confirmed and augmented by many authors who extended the analysis to threedimensional thermocapillary convection in the various aspect ratio containers (Xu and Zebib 1998;Li et al 2004Li et al , 2005Li et al , 2007Bucchignani 2004;Bucchignani and Mansutti 2004;Kuhlmann and Albensoeder 2008). Recently, numerous experiments have also demonstrated the transition of thermocapillary convection.…”

Three-dimensional thermocapillary–buoyancy flow of silicone oil in a differentially heated annular pool

“…For other depths, sufficient grid convergence was confirmed for each mesh. The validation of the code for the thermocapillary and thermocapillary-buoyancy flow simulation was performed in our previous works [26,27,[30][31][32], and will not be repeated here.…”