Mathematical Modeling on Levitating Forces of Droplets with Electromagnetic Levitation

This research focuses on studying levitating forces of droplets by utilizing a refining process known as electromagnetic levitation(EML). With the mathematical predictions, the levitating forces were described by a mathematical model in this article. Combined with theory analysis, the balancing phenomenon was also investigated in silicon-iron systems. The research found that the relationship between droplets position and levitation forces was linear. As EML system was a multi-induction, the levitating forces generation was affected by the properties of droplet, quality and size. The electromagnetic properties of the droplets were mainly the reasons for the levitation force to change from heating process before melting. EML droplet getting its melting point, electromagnetic properties of EML droplet were fixed due to the droplets absorbing latent heat. The results of this investigation will be used for vacuum electromagnetic levitation technology, and solar grade silicon samples will be prepared from relative inexpensive raw material, metallurgical grade silicon.