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|A mathematical model for estimating the liquid level in the hearth is presented. The analytical result was checked on a cold two-dimensional model and an additional boundary condition for the fundamental equation resulted. The applicability of the resultant equation was investigated on a cold model and a regression equation obtained for the average liquid level for Kashima No. 1 BF. Comparison of calculated and observed results were in fairly good agreement. It is concluded that the liquid level in the commercial furnace can be calculated from the measured values of pressure in the bosh and operating conditions.|