A global analysis of heat transfer in the CZ crystal growth of oxide: Recent developments in the model

Stereoscopic Digital Particle Image Velocimetry and Digital Particle Image Thermometry analysis of the mixed convection phenomena in the system similar to the Czochralski method of single crystal production

“…al [11][12] and Krzyminsky and Ostrogorsky [13]. Due to the rapid progress of PC computing power, the problem of mixed convection phenomena in a Czochralski crucible was also broadly studied by numerical calculations [14][15][16].…”

The Czochralski Method ‐ where we are 90 years after Jan Czochralski’s invention

“…Figure 14 shows as an example the simulation of the conversion of a convex to a concave interface shape for the Cz growth of YVO 4 crystals. A systematic study of this effect is made by Tsukada [20].…”

Global analysis of heat transfer in CZ crystal growth of oxide taking into account three-dimensional unsteady melt convection: Effect of meniscus shape

“…Therefore, a perfect global model of heat transfer in the CZ furnace must consider the three-dimensional unsteady melt flow. Recently, some studies in this area were carried out by us [11,12]. In our global model, two existing models were coupled: a global model of heat transfer based on the axisymmetric assumption [5] and an unsteady threedimensional melt flow model [13] were coupled by using two interface models through which data can be interchanged.…”

“…In our global model, two existing models were coupled: a global model of heat transfer based on the axisymmetric assumption [5] and an unsteady threedimensional melt flow model [13] were coupled by using two interface models through which data can be interchanged. Because in our previous study [11,12] the focal point was the methodology of combining the two models, we assumed that the melt free surface was flat for simplicity. Such an assumption considerably simplified the treatment of the boundary condition at the melt free surface.…”

“…In this study, the global model developed in the previous studies [11,12] is extended to a model that can treat a curved melt free surface. Then, the effect of the meniscus shape on the CZ oxide crystal growth is investigated.…”