A Generalized Enthalpy-based Macro Model for Ternary Alloy Solidification Simulations

Abstract

In this article, a generalized macroscopic mathematical model is developed to simulate the transport phenomena occurring during the solidification of ternary alloy systems. The model is essentially based on a fixed-grid, enthalpy-based control-volume approach. Microscopic features pertaining to complex thermosolutal transport mechanisms are incorporated through a novel formulation of latent enthalpy evolution, consistent with the phase-change morphology of general multicomponent alloy systems. Numerical simulations are performed for two different ternary steel alloys of apparently contrasting thermosolutal transport characteristics, and the resulting convection and macrosegregation patterns are analyzed in detail. The mathematical model is also tested by comparing the present numerical results with benchmark analytical solutions and experimental data reported in the literature for ternary alloy solidification systems, and excellent agreement is found in this regard.