A transient finite‐element numerical simulation of the heat transfer and melt convection has been performed for the vertical Bridgman growth configuration in order to investigate the solid‐liquid interface deflection. The numerical simulation is realized with the help of the finite element software FIDAPTM. A free surface model is applied for the description of the moving solid‐liquid interface. By a dimensional analysis of the factors which affect the interface deflection, the influence of the nondimensional ratio δ = VIH/(kLGL) on the interface curvature is studied. The dimensionless interface curvatures are computed for different values of the interface rate VI, the latent heat of fusion H, the liquid thermal gradient GL and the thermal conductivity of liquid kL. Finally a simple expression which contains the quantity δ is proposed for the interface deflection.
The temperature distribution and the solid-liquid interface shape during semi-transparent crystal growth have been studied by modelling a vertical Bridgman technique, using a pseudo-transient approximation in an ideal configuration. The heat transfer equation and the boundary conditions have been solved by the finite-element method. It has been pointed out that the optical absorption coefficients of the liquid and solid phases have a major effect on the thermal field, especially on the shape and location of the crystallization interface.
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