The average heat capacity method was successfully implemented for the analysis of conjugate heat transfer during the two-phase solidification process in continuous castings. The finite element technique with fixed grid was used for the current research. This method overcomes the limitation of the time increment of the otherwise so-called effective heat capacity method. The investigation included the ranges of mold cooling rate (Bi-2), post-mold cooling rate (Bi-3), superheat (Theta(o)), and withdrawal speed (Pe) from 0.025 to 0.075, 0.042 to 0.126, 1.2 to 2.7, and 1.0 to 3.45, respectively. The current study shows that two parameters, namely, Pe and Theta(o) are very important in controlling the microstructure and breakout condition of the cast material.