Mathematical description of slag foaming intensity in convertor during gas blowing

Authors

  • Kyrylo Krasnikov
  • Mykyta Lyzhov

DOI:

https://doi.org/10.34185/1562-9945-5-124-2019-11

Keywords:

математична модель, метод центральних різниць, кисневий конвертор, газошлакова піна

Abstract

The work is devoted to mathematical description of slag foaming process in a metallurgical convertor and determination of an optimal gas volume for blowing and to avoid overflow of convertor. Oxygen convertors are widely used in steelmaking process. Inside convertor the foam increases its depth and can overflow the convertor, which is an unwanted situation with dangerous consequences. Presented mathematical model includes equations of molten slag impulse conservation and volumetric part of gas in it, which allows to estimate foaming speed depending on blowing intensity For conducting of numeric experiments it is proposed to make discretization of differential equations using the central difference method, and to implement the mathematical model in computer program using a widespread programming language C#.

References

Misra P., Deo B., Chhabra R. P. Dynamic model of slag foaming in oxygen steelmaking converters. The iron and steel international journal, 1998, № 38 (11), pp. 1225–1232.

Cicutti C., Valdez M., Perez T., Donayo R., Petroni J. Analysis of slag foaming during the operation of an industrial converter. Latin American Applied Research, 2002, № 32 (3), pp. 237–240.

Dicker J. Monitoring of slag foaming and other performance indicators in an electric arc furnace. Thesis submitted for the Degree of Master of Engineering]. New South Wales, 2014. 155 p.

Repossi E., Rosso R., Verani M. A phase-field model for liquid-gas mixtures: mathematical modelling and discontinuous Galerkin discretization. Modeling and scientific computing, 2016, № 27, pp. 1–36.

Cai X., Wörner M., Marschall H., Deutschmann O. CFD simulation of liquid back suction and gas bubble formation in a circular tube with sudden or gradual expansion. Emission control science and technology, 2017, № 3, pp. 289–301. doi: 10.1007/s40825-017-0073-3.

Ogurtsov A.P., Samokhvalov S.E., Nadrygailo T.G. Splitting methods in problems of hydrodynamics and thermomasstransfer. – Dnipro: System technologies, 2003, – 260p.

Published

2019-11-25