Sa. Morman et Gw. Young, An asymptotic approach to the mathematical modeling of Ohno continuous casting of cored rods, J ENG MATH, 38(1), 2000, pp. 51-76
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.