Mathematical modeling and simulation analysis of different structured cored wire feeding spheroidization by finite volume method

Huimin Wang; Yimin Shi; Xingshi He; Wenzhi Zhao; Huimin Wang; Yimin Shi; Xingshi He; Wenzhi Zhao

doi:10.3934/era.2023202

Electronic Research Archive

2023, Volume 31, Issue 7: 3980-3998. doi: 10.3934/era.2023202

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Research article

Mathematical modeling and simulation analysis of different structured cored wire feeding spheroidization by finite volume method

1.
School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China
2.
School of science, Xi'an Polytechnic University, Xi'an 710048, China

Received: 06 March 2023 Revised: 04 May 2023 Accepted: 08 May 2023 Published: 19 May 2023

A three-dimensional dynamic heat transfer mathematical model of the process when cored wire feed in molten iron is established based on finite volume method (FVM). The calculation area is meshed with triangles and quadrilaterals to determine nodes and control volumes, and implicit time integration method is used to ensure the stability of calculating process. For exposing the dynamic heat transfer behavior, the variation of temperature field and explosion characteristics of cored wires are studied. In addition, the melt loss rate of the top end of cored wire and the correlation among melt explosion depth, molten iron temperature and feeding speed of cored wires are theoretically calculated. More importantly, the influence of different structures of cored wires on the absorption rate of magnesium are considered. The calculation results are in good agreement with the experimental data, which indicate that the existing theoretical model has good validity and can provide theoretical guidance for spheroidization process in molten iron.
- finite volume method,
- numerical simulation,
- feeding spheroidization,
- cored wire,
- molten iron
Citation: Huimin Wang, Yimin Shi, Xingshi He, Wenzhi Zhao. Mathematical modeling and simulation analysis of different structured cored wire feeding spheroidization by finite volume method[J]. Electronic Research Archive, 2023, 31(7): 3980-3998. doi: 10.3934/era.2023202

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Abstract

A three-dimensional dynamic heat transfer mathematical model of the process when cored wire feed in molten iron is established based on finite volume method (FVM). The calculation area is meshed with triangles and quadrilaterals to determine nodes and control volumes, and implicit time integration method is used to ensure the stability of calculating process. For exposing the dynamic heat transfer behavior, the variation of temperature field and explosion characteristics of cored wires are studied. In addition, the melt loss rate of the top end of cored wire and the correlation among melt explosion depth, molten iron temperature and feeding speed of cored wires are theoretically calculated. More importantly, the influence of different structures of cored wires on the absorption rate of magnesium are considered. The calculation results are in good agreement with the experimental data, which indicate that the existing theoretical model has good validity and can provide theoretical guidance for spheroidization process in molten iron.

References

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