An analytical model for nodular eutectic grain predictions during solidification

In this work, analytical expressions are derived for the globular eutectic transformation, which occurs during the solidification of nodular iron. The model incorporates heat and mass balance equations in considering nucleation and growth of nodular eutectic grains. In particular, an expression is found that relates the volumetric density of nodular eutectic grains to the maximum degree of undercooling. The proposed expression includes various experimental constants, which are well defined in nodular iron. Accordingly, good agreement is found to exist between the experimental and predicted data on the density of nodular eutectic grains and the maximum degree of undercooling.