Abstract
A mathematical formulation is presented describing fluid flow and tracer dispersion in an ASEA-SKF furnace. The statement of the problem required the simultaneous solution of the turbulent Navier-Stokes equations together with a simplified form of Maxwell’s equations. The resultant partial differential equations were solved numerically using a digital computer. Computed results are presented describing the streamline pattern, the velocity field, the spatial distribution of turbulent energy within the system, together with the rate at which a tracer is dispersed. For a 50 ton furnace, with a coil current of 1300 A the computed linear velocities ranged up to 150 cm/s and the mean values of the eddy diffusivity were of the order of 300 to 500 cm2/s. The computed results were found to be in reasonable agreement with previously reported tracer dispersion measurements. However, there is a disparity between the predicted circulation rates and those deduced from the measurements in an earlier paper using a simple one dimensional model for the interpretation of the results.
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Szekely, J., Nakanishi, K. Stirring and its effects on aluminum deoxidation in the ASEA-SKF furnace: Part II. Mathematical representation of the turbulent flow field and of tracer dispersion. Metall Trans B 6, 245–256 (1975). https://doi.org/10.1007/BF02913566
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DOI: https://doi.org/10.1007/BF02913566