Simulation of temperature field in steel billets during reheating in pusher-type furnace by meshless method

Liu, Qingguo (author), Hanoglu, Umut (author), Rek, Zlatko (author), Šarler, Božidar (author)

Using a meshless method, a simulation of steel billets in a pusher-type reheating furnace is carried out for the first time. The simulation represents an affordable way to replace the measurements. The heat transfer from the billets with convection and radiation is considered. Inside each of the billets, the heat diffusion equation is solved on a two-dimensional central slice of the billet. The diffusion equation is solved in a strong form by the Local Radial Basis Function Collocation Method (LRBFCM) with explicit time-stepping. The ray tracing procedure solves the radiation, where the view factors are computed with the Monte Carlo method. The changing number of billets in the furnace at the start and the end of the loading and unloading of the furnace is considered. A sensitivity study on billets' temperature evolution is performed as a function of a different number of rays used in the Monte Carlo method, different stopping times of the billets in the furnace, and different spacing between the billets. The temperature field simulation is also essential for automatically optimizing the furnace’s productivity, energy consumption, and the billet’s quality. For the first time, the LRBFCM is successfully demonstrated for solving such a complex industrial problem.

• Language: English
• Keywords: pusher-type reheating furnace, steel, temperature field, radiation, convection, diffusion, strong form meshless method, radial basis functions
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: 16 str.
• Numbering: Vol. 29, iss. 3, art. 30
• PID: 20.500.12556/RUL-155973
• UDC: 536.7
• ISSN on article: 2297-8747
• DOI: 10.3390/mca29030030
• COBISS.SI-ID: 193881603
• Publication date in RUL: 25.04.2024

Record is a part of a journal

• Title: Mathematical and computational applications
• Shortened title: Math. comput. appl.
• Publisher: MDPI
• ISSN: 2297-8747
• COBISS.SI-ID: 20008470

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: temperaturno polje, jekla, radiacija, difuzija, brezmrežne metode, radialne bazne funkcije