3-D inverse problem continuous model for thermal behavior of mould process based on the temperature measurements in plant trial

Abstract

A three-dimensional mathematical model for round billet continuous casting of steel in the mould, adopting the surface revolution theory, together with an appropriate inverse problem method from the measured temperatures by the thermocouples buried in various locations in the mould, has been developed to elucidate the real thermal behavior of mould process in plant production, including the mould heat transfer, steel solidification, and slag film distribution, with the objective of understanding the relationship among them. The results show that the vertical component of heat condition and the slag rim at meniscus decreases mould temperatures and the former also lower the level of the peak temperature, and the minimum thickness of solid slag film about 80 mm below meniscus results in the peak mould heat flux and temperature. The magnitude and profile of mould heat transfer around the perimeter between the shell and mould, having corresponding relationship with solid slag, determines that of shell thickness. And the channel the liquid slag entering at meniscus determines the mould heat transfer to some extent. © 2006 ISIJ.