Tracking of phase change front for continuous casting — Inverse bem solution

Abstract

This chapter discusses 2-D numerical solution of the inverse geometrical thermal problem consisting of an estimation of the position of the phase change front in a continuous casting process. The continuous casting process of metals and alloys is frequently utilized in the metallurgical industry and in materials engineering in general. The liquid material flows into the mould having the walls cooled by flowing water. The solidifying ingot is pulled out by the withdrawal rolls. The side surface of the ingot below the mould is very intensively cooled by water flowing out of the mould and sprayed over the surface. The transport phenomena encountered in such solid-liquid phase change systems are of the great importance for fundamental research as well as for engineering and technological practice. Proposed algorithms utilize temperature measurements inside the solid phase and the sensitivity coefficients. Solution procedure also involves the application of the Boundary Element Method, which simplifies modifications of numerical discretization when position of the front is updated within the iterative process.