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In a continuous casting process, the submerged entry nozzle (SEN) and mold flux in mold are important conditions to ensure slab quality, with metallurgical functions that include heat insulation, air isolation, absorption of nonmetallic inclusions, and others.1) To prevent a clogged nozzle, argon is often blown in a tundish nozzle during the production process. The argon bubble entering the mold can induce uniform composition and temperature of the molten steel, promote the floating of inclusions, purify molten steel, and improve the melting behavior of the mold slag.2–7) When argon bubble floating in molten steel enters the liquid mold slag, the liquid mold slag will be emulsified, and it’s properties will be changed inevitably; thereby, the lubrication and heat transfer of the mold flux also will be affected.8,9) Therefore, optimization of heat transfer and fluidity of liquid mold slag by argon bubbles are key factors to improve the slab quality. Researchers have conducted many studies on mold flux, with some focusing on the melting behavior of mold slag under different manufacturing processes and composiMathematical Modeling of Flow and Heat Transfer Behavior of Liquid Slag in Continuous Casting Mold with Argon Blowing