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 rod s. Equations describing the axisymmetric transport of heat in the mold and cored rod are discussed. Heat transfer between the system and the surroundi ng environment is assumed to take place via convection. If the velocity of casting, the external temperature profile, the mold temperature, and the mo ld-cooler distance are given, asymptotic solutions for the temperature prof ile in the rod are found and expressions for the solidifying interfacial sh apes are developed in the limit of a small melt slenderness ratio (mold rad ius/mold length). The effect of process parameters on the shape of the core d rod system is investigated.