Quasi-steady thermal analysis of solidification of cylindrical rod in Ohno continuous casting process

Abstract

The Ohno continuous casting process, associated with unidirectional crystallisation of high purity metals, is of practical importance because of its increasing applications in electronic industries. This paper deals with analytical solution of axisymmetric heat transfer during solidification of pure metals in this casting process. The two-dimensional quasi-steady heat conduction equations for solid and liquid phases along with associated interface and boundary conditions are solved by the method of separation of variables. The expressions for temperature field in the melt and the solid regions are obtained as a function of various model parameters such as Biot number, Peclet number, dimensionless latent heat of solidification and liquid to solid thermal conductivity ratio. Besides, the casting rates of three different pure metals are compared for the known operating conditions.

Keywords:

• Heat transfer
• Quasi-steady
• Ohno continuous casting
• Analytical solution