Pseudo-transient heat transfer in vertical Bridgman crystal growth of semi-transparent materials

The temperature distribution and the solid-liquid interface shape during se mitransparent crystal growth have been studied by modelling a vertical Brid gman technique, using a pseudo-transient approximation in an ideal configur ation. The heat transfer equation and the boundary conditions have been sol ved 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 crystalli zation interface.