“…In the secondary cooling zones, the heat of the strand is taken away by the cooling water, roll contact, and radiation. Therefore, the heat flux in secondary cooling was calculated as follows: where, i denotes the i th cooling zone; is the heat flux, MW m −2 , is the effective heat transfer coefficient, w/(m 2 · °C); α i is the modified parameter; W i is the cooling water flux density, L/(m 2 · min); is the number of roll; and are, respectively, represent the heat transfer coefficient and the contact length between the strand and roll in W/(m 2 · °C) and m; T w , T surf , and T amb are, respectively, the cooling water temperature, the surface temperature and the ambient temperature, °C.…”