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Mathematical simulation of melted slag cooling by a system of metal balls

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Abstract

The problem of thermal conductivity in a sphere is solved analytically in unadjoined edge conditions in the case when the boundary conditions are a linear function of time. A computer model is constructed for the accumulating ability of the system of metal balls for a cyclic regime of cooling of a melted slag, which makes it possible to establish and analyze main features of operation of a slag processing unit due to thermal stabilization of its structure. The correctness of the developed computer model is verified by comparing the analytic and numerical solutions; the peculiarities of the numerical solution of the heat conduction equation for a ball, associated with unadjoined edge conditions are analyzed.

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Authors and Affiliations

  1. Bardin Central Research Institute for Iron and Steel Industry, Vtoraya Baumanskaya ul. 9/23, Moscow, 107005, Russia

    V. V. Vinogrado, A. G. Shakurov & I. L. Tyazhel’nikova

  2. Trapeznikov Institute of Control Science, Russian Academy of Sciences, Profsoyuznaya ul. 65, Moscow, 117806, Russia

    E. P. Vinogradova

  3. Bauman Moscow State Technical University, Vtoraya Baumanskaya ul. 5, Moscow, 105005, Russia

    V. S. Esenbekov

Authors
  1. V. V. Vinogrado
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  2. A. G. Shakurov
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  3. I. L. Tyazhel’nikova
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  4. E. P. Vinogradova
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  5. V. S. Esenbekov
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Correspondence to V. V. Vinogrado.

Additional information

Original Russian Text © V.V. Vinogradov, A.G. Shakurov, I.L. Tyazhel’nikova, E.P. Vinogradova, V.S. Esenbekov, 2015, published in Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 60, No. 12, pp. 21–25.

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Vinogrado, V.V., Shakurov, A.G., Tyazhel’nikova, I.L. et al. Mathematical simulation of melted slag cooling by a system of metal balls. Tech. Phys. 60, 1753–1757 (2015). https://doi.org/10.1134/S1063784215120233

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  • DOI: https://doi.org/10.1134/S1063784215120233

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