Combined heat transfer in floating zone growth of large silicon crystals with radiation on diffuse and specular surfaces

Thermal characterization of an optical floating zone furnace: A direct link with controllable growth parameters

“…Higher lamp powers will be needed to melt samples with more reflective surfaces, lower light absorption or larger diameters [14], while other factors that may influence the temperature regime include the sample's thermal conductivity, opacity, surface condition (e.g. whether it has a diffuse or specular surface) [15], colour and impurity or dopant concentration. Several further points including heat transfer in the molten zone, which is driven by effects such as melt convection and diffusion, may need to be taken into account when modelling the thermal state of a sample during FZ crystal growth.…”

Simulation of Focused Radiation Propagation and Transient Heat Transfer in Turbid Tissues

“…The transient conductive heat transfer equations are solved numerically by using an ADI (Alternating Direction Implicit) scheme [18]. Combined radiation and conduction modeling [19,20] has been considered. Recently experimental validation with tissue phantom has also conducted [21].…”

Floating Zone Growth of Silicon

“…The simplest assumption is the radiation to predefined ambient temperature T a q rad ¼ εs SB À T 4 À T 4 a Á : (7.18) Lower ambient temperature for crystal and poly rod and higher for melt and open melting front are applied [34]. [44] for differences between the results using constant ambient temperature and view factors. [44] for differences between the results using constant ambient temperature and view factors.…”