KnE Engineering

ISSN: 2518-6841

The latest conference proceedings on all fields of engineering.

Mathematical Model of Metal Heating in the Continuous Walking Beam Reheating Furnace

Published date: Jul 17 2018

Journal Title: KnE Engineering

Issue title: VII All-Russian Scientific and Practical Conference of Students, Graduate Students and Young Scientists (TIM'2018)

Pages: 287–293

DOI: 10.18502/keg.v3i5.2681

Authors:
Abstract:

The article describes a two-dimensional mathematical model of metal heating in the continuous walking beam reheating furnace. The mathematical description of metal heating includes a differential thermal conductivity quotation with initial and boundary conditions. The model incorporates dependencies between the thermophysical properties of heated metal and temperature. The process of pre-set plate heating with a time variable load was modeled in Ansys software. Distribution of temperatures over the slab section at the furnace exit was determined. The obtained results of the virtual experiment were compared with the data of the
industrial experiment carried out at the existing plant of a steel production factory. The comparison between the calculations of the adapted mathematical model and data of the industrial experiment showed a coincidence of 97%. The prospects for further use of the mathematical model in the automated control system of furnace thermal operation were defined.


Keywords: continuous reheating furnace, thermal conductivity quotation, finite difference method, mathematical model

References:

[1] Tutarova, V. D., Kalitaev, А. N., Zakirova, R. А. Mathematical Modelling of Slab Heating in the Continuous Reheating Furnace, p. 75. Magnitogorsk: Nosov MGTU.


[2] Popov, Е. V. and Druzhinin, G. М. (2015). Adapted Mathematical Model of Metal Heating Calculation for the Automated Control System Through the Example of the Pusher-type Furnace at the Rolling Mill 2800 of Ural Steel, p. 264. Yekaterinburg: UrFU.


[3] Electronic Resource. Retrieved from https://www.ansys.com


[4] Altyeva, М. Ch. (2015). Mathematical modeling of slab heating process as a component of production control, in XIV All-Russian Conference of Young Scientists “Control of Large Systems,” p. 10. Lipetsk: LGTU.


[5] Shvydkii, V. S., Spirin, N. А., Ladygichev, М. G., et al. (1999). Elements of the Systems Theory and Numerical Methods for Heat and Mass Transfer Modelling: Textbook for Higher Education, p. 520. М.: Intermet-Engineering.


[6] Dozhdikov, V. I., Ganul, А. О., and Mordovkin, D. S. (2018). Optimization of energy technology complex operation for slab heating before rolling. Steel, no. 2. pp. 69–71.


[7] Denisov, М. А. (2015). Automated Engineering in Ansys and Kompas-3D, p. 264. Electronic Publication – Yekaterinburg: UrFU.


[8] Arutyunov, V. А., Bukhmirov, V. V., and Krupennikov, S. А. (1990). Mathematical Modelling of Thermal Operation of Industrial Furnaces, p. 239. М.: Metallurgy.

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