Modelling steel strip heating within an annealing furnace

Stephen W. Taylor1, Shixiao Wang1
1Mathematics Department, University of Auckland, Auckland, New Zealand

Tóm tắt

Annealing furnaces are used to heat steel in order to change its chemical structure. In this paper we model an electric radiant furnace. One of the major defects in steel strips processed in such furnaces is a wave-like pattern near the edges of the strip, apparently due to extra heating near the edges. The aim of the paper is to model this effect and provide a way to calculate the elevated temperatures near the edges. We analyse two processes that are suspected to contribute to uneven heating. The modelling involves an asymptotic analysis of the effect of heat flux at the edges and a detailed analysis of the integral equations associated with radiant heat transfer in the furnace.

Từ khóa


Tài liệu tham khảo

Depree, N, Sneyd, J, Taylor, S, Taylor, MP, Chen, JJJ, Wang, S, O’Connor, M: Development and validation of models for annealing furnace control from heat transfer fundamentals. Comput. Chem. Eng. 34(11), 1849–1853 (2010).

Depree, N, Taylor, MP, Chen, JJJ, Sneyd, J, Taylor, S, Wang, S: Development of a three-dimensional heat transfer model for continuous annealing of steel strip. Ind. Eng. Chem. Res. 51(4), 1790–1795 (2012).

Howell, JR, Siegel, R: Thermal Radiation Heat Transfer. 5th. CRC Press, Boca Raton, Fla. (2011).

Incropera, FP, DeWitt, DP: Introduction to Heat Transfer. 4th. John Wiley and Sons, New York (2002).

McGuinness, M, Taylor, SW: Strip Temperature in a Metal Coating Line Annealing Furnace. In: Proceedings of the 2004 Mathematics-in-Industry Study Group (2004). http://www.maths-in-industry.org/miis/41/.

Modest, MF: Radiative Heat Transfer. 2nd edn. Academic Press, SAN DIEGO, CA (2003).

Pérez-Grande, I, Rivas, D, de Pablo, V: A global thermal analysis of multizone resistance furnaces with specular and diffuse samples. J. Crystal Growth. 246, 37–54 (2002).

Sauermann, H, Stenzel, CH, Keesmann, S, Bonduelle, B: High-stability control of multizone furnaces using optical fibre thermometers. Cryst. Res. Technol. 36(12), 1329–1343 (2001).

Teodorczyk, T, Januszkiewicz, KT: Computer simulation of electric multizone tube furnaces. Adv. Eng. Softw. 30, 121–126 (1999).

Zareba, S, Wolff, A, Jelali, M: Mathematical modelling and parameter identification of a stainless steel annealing furnace. Simul. Model. Prac. Theory. 60, 15–39 (2016).