Theoretical Design of Continuous Casting Process Using Semi Analytical Method

A semi analytical study is presented for the solidification of liquid metals in the form of ingots or billets in a theoretical manner. A 2D heat transfer with solidification effects are considered in non dimensional form and solved using numerical methods. The surface of the ingot is assumed to be maintained at constant temperature which is practically reasonable. This assumption also delivers the kind of cooling profile which has to be applied in reality. Fourier and Phase change numbers, mass flow rate, specific heat, conductivity, and ingot geometry are the influencing parameters which governs the total metallurgical length of the plant. At the end of solidification, the ingot must undergo temperature compensation before rolling. Therefore, the influence of temperature distribution on the compensation length is presented in non-dimensional form. The novelty of the study is that the extreme two cases such as plate and square considered here will provide many design guidelines.