Abstract: A mathematical model for the coupling of cooling water flow and heat transfer of copper narrow face in arc chamfer mold for slab continuous casting was established based on the heat flux distribution model. The expression for describing the heat flux distribution along the height of the mold were obtained by means of multiple regression fitting in the study.The heat flux distribution of copper hot surface along the casting direction are non-linear. The heat flux near meniscus increases first and then decrease dramatically, which reaches maximum value at 0.1 m from the meniscus.The results of the calculation show that the surface temperature of the copper plate in the 150～200 mm range from the mold top reaches the highest 608～678 K, and is lower than that of the 723 K chrome-zirconium copper recrystallization softening temperature.Although the maximum temperature of the copper plate water slot surface is nearly 420 K, it does not affect the overall heat transfer.The calculated copper plate temperatures agree with the measured values of thermocouples.