1. Analytical solution of the problem of the low-melting element behavior during alloying of steel.
- Author
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Ryabov, A. V. and Semenova, N. S.
- Subjects
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STEEL alloys , *BISMUTH , *ANALYTICAL solutions , *HEAT capacity , *SAMPLE size (Statistics) , *MATHEMATICAL models - Abstract
The work was carried out at the Ural Federal University named after the first President of Russia B.N. Yeltsin. The paper investigates the bismuth behavior when it is introduced into a metal melt in the solid round blanks form of a given size. To implement the experiments, we were used a high-temperature setup with an X-ray television observation system. The work developed a mathematical model of thermophysical processes during the introduction of cold spherical low-melting samples such as bismuth into a steel melt. The model takes into account the temperature dependences of heat capacity, density, and thermal conductivity in the solid and liquid states, as well as the sample size dependence of the density. The simulation showed that taking into account the temperature dependences of thermophysical characteristics has a very significant effect on the results. So, in comparison with the model with constant heat capacity, density and thermal conductivity, heating of a bismuth sample in a steel melt occur four times faster. Using the developed model, we have studied the sample size influence on the rate of their melting. In this work, a formula is obtained for an approximate estimate of the complete melting time of alloying elements, using the example of bismuth in steel. The obtained mathematical model can be applied to low-melting, easily oxidizing, and volatile elements. Comparative analysis of quality shows good comparability of experimental and calculated data. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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