IntroductionIn materials processing at high temperatures, e.g., silicon single crystal growth, precision casting of superalloy turbine blades, or precision joining, it has been well recognized that numerical simulation is an effective tool for the design and optimization of processes. Since thermophysical properties are indispensable as input data in numerical simulations, it is important to establish a method to precisely measure the thermophysical properties of high-temperature molten materials and to collect and systematize data on the thermophysical properties. The electromagnetic levitation (EML) technique has recently been used for measuring the thermophysical properties of molten materials (Egry et al., 2001). In this technique, an alternating electric current in RF coils induces an eddy current in a conductive material sample, and the sample is melted by Joule heating resulting from the current. In addition, the electromagnetic force generated by the interaction between an alternating magnetic field and the induced current lifts up the molten dropshaped material. Therefore, the containerless EML technique facilitates the precise measurement of the thermophysical properties of highly reactive molten materials, such as viscosity, density, and surface tension, over a wide temperature range even under an undercooled condition in the absence of contamination.However, it might be difficult to measure the thermal conductivity of molten materials by using the technique because magnetohydrodynamic (MHD) convection due to the electromagnetic force occurs in a molten droplet, together with buoyancy and Marangoni convection, and the flow velocity reaches 10-40 cm/s (Zong et al., 1992;Li and Song, 1998;Bojarevics and Pericleous, 2003;Hyers, 2005). Obviously, such intensive melt convection affects the thermal field in the droplet and, consequently, the measured thermophysical properties. Therefore, the thermal conductivity measured in the presence of convection is an effective thermal conductivity and is affected by convective heat transfer in addition to conduction. To measure the thermal conductivity accurately, Kobatake et al. (2007Kobatake et al. ( , 2008Kobatake et al. ( , 2010a and Fukuyama et al. (2009) have developed a novel method to measure the thermal conductivity of molten materials by the EML technique, where the measurement method is based on periodic laser heating and a static magnetic field is applied to suppress melt convection in the droplet. Using this method, they have measured the ther-
Relationship between Applied Static Magnetic Field Strength and Thermal Conductivity Values of Molten Materials Measured Using the EML Technique