An asymptotic approach to the mathematical modeling of Ohno continuous casting of cored rods

A model is presented to simulate Ohno Continuous Casting (OCC) of cored rods. Equations describing the axisymmetric transport of heat in the mold and cored rod are discussed. Heat transfer between the system and the surrounding environment is assumed to take place via convection. If the velocity of casting, the external temperature profile, the mold temperature, and the mold-cooler distance are given, asymptotic solutions for the temperature profile in the rod are found and expressions for the solidifying interfacial shapes are developed in the limit of a small melt slenderness ratio (mold radius/mold length). The effect of process parameters on the shape of the cored rod system is investigated.

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