Using an order-of-magnitude evaluation, a quantitative evaluation was performed of the natural and Marangoni convections produced in the melt during single-crystal growth by the floating zone method.
The Reynolds number, which forms a standard for free interfacial velocity, was described as a function of the Grashof number, Marangoni number and Prandtl number. The results of this theoretical study showed good agreement with previous experimental works using model liquids and a glass melt.