“…where k eff is the effective heat conductivity, f s is the solid fraction and A is a constant ranging from 1 to 12 2,3). The formulation for the effective heat transfer (eqn.1) might be different between models, but the principle remains the same [3,4]. (1) Even though this method has been widely used in heat transfer modelling [2,3,[5][6][7][8][9][10][11][12] of continuous casting of steel, only a few researchers [3,5,6,8] have questioned its accuracy.…”