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The water-cooling rate in the hot-rolling process should strictly be controlled to obtain qualified steels in high-grade steel making.1) Actually an oxide scale is formed on the surface of slab during the hot-rolling process and more or less affects the cooling rate. The oxide scale is frequently removed by de-scaling water; however, it still grows to tens of micrometers thickness because the oxidation rate of steel is very fast. Figure 1 shows a backscattered electron (BE) image of a cross-section of an oxide scale on a steel substrate.2) The oxide scale roughly has a multiple-layered structure such as FeO/Fe3O4/Fe2O3 from the steel substrate side; silicon-rich iron oxide and pores also exist in the oxide scale.3) Another feature of this system is that it exists under a steep temperature gradient in the actual process: temperature shows a drop by several hundred Kelvin within the thickness of oxide scale between the hot steel and the cooling water. The thermal conductivity of oxide scales has been reported to be smaller than that of steel.4) This suggests that the oxide scale is a considerable resistance factor for the heat transfer from the hot steel to the cooling water. Thus, to control the cooling rate during the hot-rolling process, important factors are the heat transfer characteristics such as thermal conductivity and diffusivity of oxide scales formed on the steel surface.5) In recent years, there are some researches focusing on the thermal diffusivity of iron oxide; however, only Taylor et al. have measured on an FeO sheet prepared by thermal A New Method for Apparent Thermal Conductivity Determination for Sheet Samples Utilizing Principle of Bunsen Ice Calorimeter