In collaborazione con: Danieli

Descrizione: The thesis focuses on the development and analysis of a transient heat transfer model described by partial differential equations (PDEs) for the continuous casting process. The problem is formulated as a coupled system involving heat conduction and phase change (solidification), where powder infiltration effects are indirectly inferred from thermal measurements. The work will emphasize the mathematical modeling, numerical discretization, and analysis of transient PDE systems, with particular attention to stability and convergence of the numerical schemes. Possible extensions include the formulation of inverse or data-assimilation problems to reconstruct unmeasured quantities, such as heat fluxes or material distributions, from available data.

References:
H. Yang, A 1D analytical model for slag infiltration during continuous casting of steel under non-sinusoidal mold oscillation, Metals 10, 1389 (2020).
Y. Meng and B. G. Thomas, Heat-Transfer and Solidification Model of Continuous Slab Casting: CON1D, Metallurgical and Materials Transactions B, 34B (2003).

Contact: Commissione Tirocini CCS-Mat (Cattaruzza, Romani, Vermiglio, Zanette)