High frequency vibration and natural convection in Bridgman-scheme crystal growth

Theoretical and numerical study on high frequency vibrational convection: Influence of the vibration direction on the flow structure

“…They made a more general nonlinear three-dimensional analysis and confirmed the pioneering results of Gresho and Sani [3] and Gershuni et al [4]. Natural heat convection suppression in semiconductor melts with the help of horizontal vibration is studied by Uspenskii and Favier [7] in vertical and horizontal Bridgman configurations. They compared the efficiency of fluid motion damping under magnetic field and vibrations and found that the damping is more efficient with the magnetic field for the horizontal Bridgman geometry.…”

“…There have been extensive studies of thermovibrational convection in weightlessness and ground conditions in various configurations [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. These studies are often motivated by the difficulties faced during crystal growth, solidification of molten alloys and other related industrial processes.…”

Influence of ampoule rotation on three-dimensional convection and segregation in Bridgman crystal growth under imperfect growth conditions

“…Another approach assuming that the solid is swallowed by the melt during melting can be used as the feed front boundary condition used in the zone-melting modeling [16], but the result is sim-ilar to that of Eq. (10). As it will be discussed shortly, for asymmetric heating, severe segregation due to this e!ect is observed, and this is similar to the cause of the rotational striations in Czochralski growth [17].…”

“…However, the hardware requirement to provide a su$cient magnetic damping (usually in the order of 0.5 T) is costly. An alternative way to suppress the #ow, maybe other mechanisms like vibration [10] as well, is the use of steady ampoule rotation. As discussed by Lan and Chian [11,12], as well as Yackel et al [13], a moderate rotation rate may a!ect the buoyancy #ow signi"cantly for the axisymmetric con"guration.…”

The structures of attractors reconstructed with time-evolution data of average heat transfer on thermal convection field in a vibrating square enclosure

“…For instance, there have been investigations on the stabilization or destabilization of the thermal convection field by vibrations [1][2][3]. However, there are few investigations on the effect of vibrations on the thermal convection field in enclosures with heated and cooled walls.…”